Refereed Articles Published Journals, Total: 179, (ISI: 127)
Fuzzy differential equations: 56
S. Abbasbandy, T. Allahviranloo, "Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method of Order 2", in J.S.I.A.U., Vol.11, No.41, Fall 2001, pp. 3176-3188.
S. Abbasbandy, T. Allahviranloo, "Numerical Solutions of Fuzzy Differential Equations By Taylor Method", in Journal of Computational Methods in Applied Mathematics, Vol. 2, 2002, No.2, pp. 113-124.
S. Abbasbandy, T. Allahviranloo, "Numerical Solution of Fuzzy Differential Equation", in Journal of Mathematical & Computational Applications, Vol. 7, 2002, No.1, pp. 41-52. (ISI)
S. Abbasbandy, T. Allahviranloo, "Numerical Solution of Fuzzy Differential Equations by Runge-Kutta and the Intuitionistic Treatment", in Journal of Notes on Intuitionistic Fuzzy Sets, Vol. 8, 2002, No.3, pp. 43-53.
S. Abbasbandy, T. Allahviranloo, "Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method ", in Journal of Nonlinear Studies, Vol. 11, No. 1, 2004, pp. 117-129.
S. Abbasbandy, T. Allahviranloo, "Extrapolation Methods for Improvig Solution of Fuzzy Differential Equations", in Journal of Mathematical & Computational Applications, Vol.9, 2004, No. 2, pp. 205-214. (ISI)
S. Abbasbandy, T. Allahviranloo, Oscar Lopez-Pouso, Juan J. Nieto, "Numerical Methods for Fuzzy Differential Inclusions", in Journal of Computer and Mathematics With Applications, Vol./Issue, 48/10-11, 2004, pp. 1633-1641. (ISI)
T. Allahviranloo, N. Ahmady, E. Ahmady, "Two step method for fuzzy dufferential equations", in journal of International Mathematical journal, Vol. 1, 2006, no. 17-20, 823 - 832.
T. Allahviranloo, N. Ahmady, E. Ahmady, "Numerical solution of fuzzy differential equations by Predictor-Corrector method", in journal of Information Science, Vol 177/7, 2007, pp 1633-1647. (ISI)
T. Allahviranloo, E. Ahmady, N. Ahmady, "A method for solving N-th order fuzzy differential", in journal of Intrnational journal of computer mathematics, 2007, Volume 86, Issue 4, First published 2009, Pages 730 – 742 . (ISI)
T. Allahviranloo, E. Ahmady, N. Ahmady, "Nth-order fuzzy linear differential equations", in journal of Information Science, 178 (2008) 1309-1324 . (ISI)
T. Allahviranloo, E. Ahmady, N. Ahmady, "Erratum to ‘‘Numerical solution of fuzzy differential equations by predictor–corrector method”[Inform. Sci. 177 (7) (2007) 1633–1647]", in journal of Information Science, 178 (2008) 1780-1782. (ISI)
T. Allahviranloo, S. Abbasbandy, N. Ahmady, E. Ahmady, "Improved predictor–corrector method for solving fuzzy initial value problems", in journal of Information Science, 179 (2009) 945–955. (ISI)
T. Allahviranloo, N. A. Kiani, N. Motamedi, "Solving Fuzzy Differential equations by Differential Transformation Method", in journal of Information Science, 179 (2009) 956–966. (ISI)
T. Allahviranloo, N. A. Kiani, M. Barkhordari, "Toward the Existence and Uniqueness of Solutions of Second- Order Fuzzy Differential Equations", in journal of Information Science, 179 (2009) 1207–1215. (ISI)
T. Allahviranloo, M. Barkhordari, "Fuzzy laplace transforms", in journal of Soft Computing, (2010) 14:235–243. (ISI)
T. Allahviranloo, M. Shafeei, Y. Nejatbakhsh, "A note on ''Fuzzy differential equations and the extension principle'' ", in journal of Information Science, Vol. 179 (2009) 2049-2051. (ISI)
T. Allahviranloo, A. Panahi, H. Rouhparvar, "A copmutational method to find an approximate analytical solution for fuzzy differential equations", in journal of Analele Stiintifice ale Universitatii Ovidius Constanta, V0l. 17(1), 2009, 5-14. (ISI)
T. Allahviranloo, S. Khezerloo, M. Mohammadzaki, "Numerical solution of fuzzy differential inclusion by Adomian decomposition method", in Journal of Applied Mathematics, IAU of Lahijan, Vol. 5, No17, Summer 2008.
T. Allahviranloo, L. Jamshidi, "Solution of fuzzy differential equations under generalized differentiability by Adomian decomposition method", in Iranian Journal of Optimization, 1(2009), 57-75.
H. Rouhparvar, S. Abbasbandy, T. Allahviranloo, "Existence and uniqueness of solution an uncertain characteristic Cauchy reaction-diffusion equation by Adomian decomposition method", in Journal of Mathematical & Computational Applications(MCA), Vol. 15, No. 3, pp. 404-419, 2010. (ISI)
T. Allahviranloo, S. Salahshour"Euler method for solving hybrid fuzzy differential equation", in Soft Computing, Soft Comput (2011) 15:1247–1253. (ISI)
T. Allahviranloo, S. Abbasbandy, S. Salahshour, A. Hakimzadeh"A new method for solving fuzzy linear differential equations", in Computing, Vol. 92, No. 2, Pages 181-197, 2011. (ISI)
S. Abbasbandy, T. Allahviranloo, P. Darabi, O. sedaghatfar, "Variational iteration method for solving n-th order differential equations ", in Journal of Mathematical & Computational Applications(MCA), In press. (ISI)
S. Abbasbandy, T. Allahviranloo, P. Darabi, "Numerical soluion of nth-order fuzzy differential equations by Runge-Kutta method ", in Journal of Mathematical & Computational Applications(MCA), In press. (ISI)
T. Allahviranloo, S. Abbasbandy, S. Salahshour"Existence and uniqueness theorem for solutions of fuzzy fractional differential equations", in World Applied Sciences, In press. (ISI)
T. Allahviranloo, A. Panahi, A. N. Zanjani, "Fuzzy Fractional Differential Equations and Their Approximate Solution", in Journal of Mathematical & Computational Applications(MCA), In press. (ISI)
T. Allahviranloo, S. Salahshour, S. Abbasbandy, "Explicit solutions of fractional differential equations with uncertainty", in Soft Computing, (2012) 16:297–302. (ISI)
S. Salahshour, T. Allahviranloo, S. Abbasbandy, "Solving fuzzy fractional differential equations by fuzzy Laplace transforms", in Communications in Nonlinear Science and Numerical Simulations, 17 (2012) 1372-1381. (ISI), Hot paper, January to March 2012 and April to June 2012..
T. Allahviranloo, S. Abbasbandy, O. Sedaghatfar, P. Darabi"A New Method for Solving Fuzzy Integro-Differential Equation Under Generalized Differentiability", in Neural Computing and Applications, 21 (2012) 191-196. (ISI)
T. Allahviranloo, S. Salahshour, L. Avazpour, "On the fractional Ostrowski inequality with uncertainty", in Journal of Mathematical Analysis and Applications, 395 (2012) 191-201. (ISI)
S. Salahshour, T. Allahviranloo, "Applications of fuzzy Laplace transforms", in journal of Soft computing, (2013) 17:145–158. (ISI)
S. Salahshour, T. Allahviranloo, S. Abbasbandy, Dumitru Baleanu, "Existence and uniqueness results for fractional differential equations with uncertainty", in journal of Advances in Difference Equations, 2012, 2012:112 (19 July 2012). (ISI)
T. Allahviranloo, S. Gholami, "Note on ”Generalized Hukuhara differentiability of interval-valued functions and interval differential equations”", in Journal of Fuzzy Set Valued Analysis, Volume 2012, Year 2012 Article ID jfsva-00135, 4 pages doi:10.5899/2012/jfsva-00135.
S. Abbasbandy, T. Allahviranloo, M. R. Balooch Shahryari, "Fuzzy laplas transforms method for solving fuzzy sequential fractional differential equations", in Journal of Wulfenia, Volume 19, Iss. 10. (ISI)
T. Allahviranloo, L. Hooshangian, "Fuzzy Generalized H-Differential and Applications to Fuzzy Differential Equations of Second-Order", in Journal of Intelligent and Fuzzy Systems, In press, DOI: 10.3233/IFS-130874. (ISI)
T. Allahviranloo, Z. Gouyandeh, A. Armand, "Fuzzy fractional differential equations under generalized fuzzy Caputo derivative", in Journal of Intelligent and Fuzzy Systems, Journal of Intelligent & Fuzzy Systems 26 (2014) 1481–1490, DOI: 10.3233/IFS-130831. (ISI)
T. Allahviranloo, S. Abbasbandy, M. R. Balooch Shahryari, S. Salahshour, Dumitru Baleanu, "On solutions of linear fractional differential equations with uncertainty", in Abstract and Applied Analysis, Volume 2013 (2013), Article ID 178378, 13 pages. (ISI)
T. Allahviranloo, S. Abbasbandy, Sh. Behzadi, "Solving Nonlinear Fuzzy differential equations by Using Fuzzy Variational Iteration Method" , in Applied Soft Computing, DOI 10.1007/s00500-013-1193-5. (ISI)
T. Allahviranloo, Lutfi Avazpour, Mohammad J Ebadi, Dumitru Baleanu and Soheil Salahshour "Fuzzy fractional Ostrowski inequality with Caputo differentiability" Journal of Inequalities and Applications, 2013, 2013:50 (ISI)
T. Allahviranloo, M. Chehlabi, "Solving fuzzy differential equations based on the length function properties", Soft Computing, (2015) 19:307–320
DOI 10.1007/s00500-014-1254-4. (ISI)
T. Allahviranloo, M. Ayatollahi, F. Amini, E. Vaseghi, "Fuzzy BIBO Stability of Linear
Control Systems", Journal of Mathematical Extension, Vol. 8, No. 3, (2014), 59-69.
T. Allahviranloo, Z. Gouyandeh, A. Armand, A. Hasanoglu "On fuzzy solutions for heat equation based on generalized Hukuhara differentiability" Fuzzy sets and systems, 265(2015)1–23. (ISI)
L. Avazpour, T. Allahviranloo, "Uncertain Ostrowski type inequalities for functions which their derivations are preinvex via fractional integral" Veliger, in press. (ISI)
T. Allahviranloo, L. Jamshidi, M. Khezerloo "Existence and uniqueness theorem for a solution of Fuzzy Caputo Fractional integro - differential equations" OTECHESTVENNAYA ISTORIYA, in press. (ISI)
T. Allahviranloo, Z. Gouyandeh, A. Armand, "General solution of Basset equation with Caputo generalized Hukuhara derivative" Journal of applied analysis and application, Volume 6, Number 1, February 2016, 119-
130 (ISI)
T. Allahviranloo, Z. Gouyandeh, A. Armand, "A full fuzzy method for solving differential
equation based on Taylor expansion", in Journal of Intelligent and Fuzzy Systems, Journal of Intelligent & Fuzzy Systems 29 (2015) 1039–1055
DOI:10.3233/IFS-151713. (ISI)
T. Allahviranloo, L. Hooshangian, "A new method to find fuzzy nth order derivation and applications to fuzzy nth order arithmetic based on generalized h-derivation", in An International Journal of Optimization and Control: Theories & Applications, Vol.4, No.2, pp.105-121, DOI:10.11121/ijocta.01.2014.00183.
A. Armand, T. Allahviranloo, S. Abbasbandy, Z. Gouyandeh, , "Fractional Relaxation-Oscillation Differential Equations via Fuzzy Variational Iteration Method", in Journal of Intelligent and Fuzzy Systems, In press. (ISI)
M. Chehlabi, T. Allahviranloo, "Concreted solutions to fuzzy linear fractional differential equations" Applied soft computing, in press, doi:10.1016/j.asoc.2016.03.011. (ISI)
Z. Gouyandeh, T. Allahviranloo, S. abbasbandy, A. Armand "A Fuzzy Solution of Heat Equation Under Generalized Hukuhara Differentiability by Fuzzy Fourier Transform" Fuzzy sets and systems, in press, (ISI)
A. Armand, T. Allahviranloo, S. Abbasbandy, Z. gouyandeh "Fractional Relaxation-Oscillation differential equation via fuzzy variational iteration method" Fuzzy sets and systems, in press, (ISI)
Sh. Sadigh Behzadi, Behnam Vahdani, T. Allahviranloo, S. Abbasbandy, "Application of fuzzy Picard Method for Solving Fuzzy Quadratic Riccati and Fuzzy Painlev´e I Equations" Applied mathematical models, 40 (2016) 8125–8137, (ISI)
Sh. Sadigh Behzadi, T. Allahviranloo, "SOLVING FUZZY DIFFERENTIAL EQUATIONS BY USING
PICARD METHOD" Iranian journal of fuzzy systems, in press, (ISI)
Sh. Sadigh Behzadi, T. Allahviranloo, S. Abbasbandy "FUZZY COLLOCATION METHODS FOR SECOND- ORDER FUZZY ABEL-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS" Iranian journal of fuzzy systems, Vol. 11, No. 2, (2014) pp. 71-88, (ISI)
Fuzzy linear system of equations: 39
T. Allahviranloo, "On the Iterative Method for Fuzzy System of Linear Equations", in Journal of International Mathematical Journal, Vol. 4, 2003, No.1, pp. 43-52.
T. Allahviranloo, "A comment on fuzzy linear systems ", in Journal of Fuzzy Sets and Systems, Vol. 140, 2003, pp. 559. (ISI)
T. Allahviranloo, "Numerical Methods for Fuzzy System of Linear Equations", in Journal of Applied Mathematics and Computations, 2003, Vol. 155, 2004, Issue 2, pp. 493-502. (ISI)
T. Allahviranloo, "Successive Over Relaxation Iterative Method for Fuzzy System of Linear Equations", in Journal of Applied Mathematics and Computations, 2005, Vol 162/1 pp 189-196. (ISI)
T. Allahviranloo, "The Adomian decomposition for fuzzy system of linear equations", in Journal of Applied Mathematics and Computations, 2005, Vol 163/2 pp 553-563. (ISI)
T. Allahviranloo, M. Afshar, "Cramer's rule for fuzzy system of linear equations", in Journal of Nonlinear Studies, Volume 14, Number 4, 2007, 381-387.
T. Allahviranloo, M. Afshar, "Solution of fuzzy system of linear equations", in Journal of Applied Mathematics and Computations, Volume 175, Issue 1, 1 April 2006, Pages 519-531. (ISI)
T. Allahviranloo, N. Ahmadi, E. Ahmadi, Kh. Shams Alketabi, "Block Jacobi two-stage method with Gauss-Sidel inner iterations for fuzzy system of linear equations", in Journal of Applied Mathematics and Computations, Volume 175, Issue 2, 15 April 2006, Pages 1217-1228. (ISI)
S. Abbasbandy, T. Allahviranloo, R. Ezzaty, "A metod for solving general fuzzy linear systems", in the Journal of fuzzy mathematics, Vol. 15, No. 4, 2007, Los Angeles.
T. Allahviranloo, N. A. Kiani, M. Barkhordari, M. mosleh, "Homomorphic Solution of Fully Fuzzy Linear System", in Journal of Computational Mathematics and Modeling, Vol. 19, No. 3, 282-293, 2008, Springer. (ISI)
T. Allahviranloo, N. Mikaeilvand, N. A. Kiani, R. Mastani, "Signed Decomposition of Fully Fuzzy Linear Systems", in journal of Applications and Applied Mathematics: A International Journal (AAM), Vol. 3, No. 1 (June 2008) pp. 77 – 88.
T. Allahviranloo, M. Afshar, M. Shafiei, "Revised Solution of an overdetermined fuzzy linear system of equations ", in International Journal of Computational Cognition , (HTTP://WWW.IJCC.US), VOL. 6, NO. 3, SEPTEMBER 2008.
T. Allahviranloo, N. Mikaeilvand, F. Hosseinzadeh Lotfi
and M. Khorasany Kiasari"Fully fuzzy linear programming problem with positive or negative core ", in Far East Journal of Applied Mathematics, Volume 33 No. 3 (2008), pp. 337-350.
T. Allahviranloo, N. Mikaeilvand, "Positive Solutions of Fully Fuzzy Linear Systems", in Journal of Applied Mathematics, IAU of Lahijan, Vol. 3, NO. 11, Winter 2006.
T. Allahviranloo, N. Mikaeilvand, M. Barkhordary"Fuzzy Linear Matrix Equation", in journal of Fuzzy Optimization and Decision Making , Volume 8, Issue2 (2009), Page 165. (ISI)
T. Allahviranloo, M. Adabitabar Firouzja, "Exact solutions of fuzzy Linear System A ˜X = ˜b", in journal of Chaos Soliton & Fractal , In press. (ISI)
A. Panahi, T. Allahviranloo, H. Rouhparvar, "Solving fuzzy linear systems of equations", in journal of ROMAI J. , 4, 1(2008), 207-214.
T. Allahviranloo, N. Mikaeilvand, "Non zero solutions of the fully fuzzy linear Systems", in International Journal Of Applied and Computational Mathematics, V.10, N.2, 2011, pp.271-282. (ISI)
T. Allahviranloo, M. Ghanbari, "Solving fuzzy linear systems by homotopy perturbation method", in journal of International Journal of Computational Cognition, Vol. 8, No. 2, June 2010.
T. Allahviranloo, S. Salahshour, "Fuzzy symmetric solutions of fuzzy linear systems", in Journal of Computational and Applied Mathematics, 235 (2011) 4545–4553. (ISI)
T. Allahviranloo, S. Salahshour, "Maximal- and minimal symmetric solutions of fully fuzzy linear systems", in Journal of Computational and Applied Mathematics, 235 (2011) 4652–4662. (ISI)
T. Allahviranloo, S. Salahshour, "Bounded and symmetric solutions of fully fuzzy linear systems in dual form", in Journal of Procedia-Computer Science Journal 3 (2011) 1494–1498.
T. Allahviranloo, M. Ghanbari, E. Haghi, A. Hosseinzadeh, R. Nouraei, "A note on "Fuzzy linear systems"", in Journal of Fuzzy Sets and Systems, 177 (2011) 87–92. (ISI)
T. Allahviranloo, N. Mikaeilvand, "Fully fuzzy linear systems solving using MOLP", in Journal of World Applied Science Journal, In press. (ISI)
T. Allahviranloo, M. Ghanbari, "A new approach to obtain algebraic solution of interval linear systems", in Journal of Soft Computing, January 2012, Volume 16, Issue 1, pp 121-133. (ISI)
T. Allahviranloo, M. Ghanbari, "On the algebraic solution of fuzzy linear systems based on interval theory", in Journal of Applied Mathematical Modelling, 36 (2012) 5360–5379. (ISI)
T. Allahviranloo, F. Hosseinzadeh Lotfi, M. khorasani, M. Khezerloo, "On the solution of fuzzy linear system", in Journal of Applied Mathematical Modelling, 37 (2013) 1170–1176. (ISI)
T. Allahviranloo, E. Haghi, M. Ghanbari, "The nearest symmetric fuzzy
solution for a symmetric fuzzy linear system", in Journal of Analele Stiintifice ale Universitatii Ovidius Constanta, Vol. 20(1), 2012, 151-172. (ISI)
T. Allahviranloo, M. Ghanbari, E. Haghi, A. Hosseinzadeh, R. Nouraei, "A new metric for L-R fuzzy numbers and its application in fuzzy linear systems", in Journal of Soft Computing, October 2012, Volume 16, Issue 10, pp 1743-1754, DOI 10.1007/s00500-012-0858-9.
T. Allahviranloo, A. Hosseinzadeh, M. Ghanbari, E. Haghi, R. Nouraei, "On the new solutions for a fully fuzzy linear system", in Journal of Soft Computing, May 2013, In press.
M. Ghanbari, T. Allahviranloo, E. Haghi, "Estimation of algebraic solution by limiting the solution set of an interval linear system", in Journal of Soft Computing, December 2012, Volume 16, Issue 12, pp 2135-2142. (ISI)
R. Nouraei, T. Allahviranloo, M. Ghanbari, "Finding an inner estimation of the
solution set of a fuzzy linear system", in Journal of Applied mathematical modelling, 37 (2013) 5148–5161. (ISI)
T. Allahviranloo, S. Salahshour, M. Homayoun nejad, Dumitru Baleanu, "General solutions of fully fuzzy linear systems", in Journal of Abstract and applied analysis, Volume 2013, Article ID 593274, 9 pages, http://dx.doi.org/10.1155/2013/593274. (ISI)
S. Moloudzadeh, T. Allahviranloo, P. Darabi, "A new method for solving an arbitrary fully fuzzy linear system", in Journal of Soft Computing, September 2013, Volume 17, Issue 9, pp 1725-1731, DOI 10.1007/s00500-013-0986-x. (ISI)
T. Allahviranloo, L. Hooshangian, "A method to find fuzzy eigenvalues and fuzzy eigenvectors of fuzzy matrix", in Journal of Neural Computing and Applications, September 2013, Volume 23, Issue 3-4, pp 1159-1167. (ISI)
Reza Kargar, Tofigh Allahviranloo, G. R. Jahanshahloo and M. Rostamy-Malkhalifeh, "A proposed method for solving fuzzy system of linear equations", in Journal of The scientific world journal, Inpress. (ISI)
F. Babakordii, T. Allahviranloo, M. Adabitabar Firouzja, "An efficient method for solving LR fuzzy dual matrix systems", in Journal of intelligent and fuzzy systems, 0 (2016) 575–581 DOI:10.3233/IFS-151781. (ISI)
T. Allahviranloo, F. Babakordii, "Algebraic solution of fuzzy linear system as:
AX+BX=Y", in Soft computing, DOI 10.1007/s00500-016-2294-8. (ISI)
Ranking fuzzy numbers and Approximation of fuzzy numbers: 13
T. Allahviranloo, M. Adabitabar Firouzja, "Note on "Trapezoidal approximation of fuzzy numbers"", in Journal of Fuzzy Sets and Systems, Vol 158/7, 2007, pp 755-756. (ISI)
T. Allahviranloo, M. Adabitabar Firouzja, "Ranking of fuzzy numbers by a new metric", in Journal of Soft Computing, Soft Comput (2010) 14:773–782. (ISI)
T. Allahviranloo, S. Abbasbandy, R. Saneifard, "A Method for Ranking of Fuzzy Numbers Using New Weighted Distance", in Journal of Mathematical and Computational Applications , Vol. 16, No. 2, pp. 359-369, 2011. (ISI)
T. Allahviranloo, S. Abbasbandy, R. Saneifard, "An Approximation Approach For Ranking of Fuzzy Numbers With Weighted Interval-Value", in Journal of Mathematical and Computational Applications , Vol. 16, No. 3, pp. 588-597, 2011. (ISI)
R. Ezzati, T. Allahviranloo, S. Khezerloo, M. Khezerloo, "An approach for ranking of fuzzy numbers", in Journal of Expert Systems with Applications , 39 (2012) 690–695. (ISI)
T. Allahviranloo, R. Saneifard, "Defuzzification method for ranking fuzzy numbers based on center of gravity", in Iranian journal of fuzzy systems, In press. (ISI)
T. Allahviranloo, R. Saneifard, "Design an invoice alghorithm for evaluating decision making units with a new fuzzy distance", in African Journal of Business Management, In press. (ISI)
T. Allahviranloo, S. Abbasbandy, S. Hajighasemi, "A new similarity measure for generalized fuzzy numbers", in Neural Computing and Applications, August 2012, Volume 21, Issue 1 Supplement, pp 289-294. (ISI)
Manjit Verma, Amit Kumar, Yaduvir Singh, T. Allahviranloo, "Application of non-normal p-normtrapezoidal fuzzy number in reliability evaluation of electrical substations", in Neural Computing and Applications, August 2013, Volume 23, Issue 2, pp 531-539, DOI 10.1007/s00521-012-0949-7. (ISI)
R. Saneifard, T. Allahviranloo, R. "A Comparative Study of Ranking Fuzzy Numbers Based on Regular Weighted Function", in Fuzzy information and engineering, (2012) 3: 235-248. (ISI)
T. Allahviranloo, Mohammad Jahantigh, S. Hajighasemi, "A new distance measure and ranking method for generalized trapezoidal fuzzy numbers", in Mathematical Problems in Engineering, Volume 2013, Article ID 623757, 6 pages, http://dx.doi.org/10.1155/2013/623757. (ISI)
A. Rahmani, M. Rostamy, F. Hosseinzadeh lotiT. Allahviranloo, "A new method for defuzzification and ranking of fuzzy numbers based on the statistical Beta distribution", in Advances in fuzzy systems, In press. (ISI)
F. Abbasi, T. Allahviranloo, S. Abbasbandy"A new attitude coupled with the basic fuzzy thinking to distance between two fuzzy numbers", in Iranian journal of fuzzy systems, In press. (ISI)
Fuzzy partial differential equations (FPDE): 7
T. Allahviranloo, "Difference Methods for Fuzzy Partial Differential Equations", in Journal of Computational Methods in Applied Mathematics, Vol. 2, 2002, No.3, pp. 1-10.
T. Allahviranloo, N. Taheri "An analytic approximation to the solution
of fuzzy heat equation by Adomian decomposition method", in Journal of Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 3,
105 - 114.
T. Allahviranloo, M. Afshar "Numerical Methods for Fuzzy Linear Partial Differential Equations under new Definition for Derivative", in Journal of Iranian Journal of Fuzzy Systems, Vol. 7, No. 3, (2010) pp. 33-50. (ISI)
T. Allahviranloo, S. Abbasbandy, H. Rouhparvar "The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method", in Journal of Appliead Soft Computing, 11 (2011) 2186–2192. (ISI)
H. Rouhparvar, S. Abbasbandy, T. Allahviranloo, "The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method", in Journal of Journal of American Science, In Press. (ISI)
T. Allahviranloo, K. Khalilpour "A NUMERICAL METHOD FOR TWO-POINT FUZZY BOUNDARY VALUE PROBLEMS", in Journal of World Applied Science,In press. (ISI)
K. Khalilpour, T. Allahviranloo, "An initial-value method for two-point fuzzy boundary value problems", in Journal of World Applied Science,In press. (ISI)
Fuzzy integral equations: 19
S. Abbasbandy, T. Allahviranloo, "The Adomian Decomposition Method Applied to The Fuzzy System of The Second Kind", in Journal of International Journal of Uncertainty, Fuzziness, and Knowledge Based Systems (IJUFKS), Vol. 14(1), 2006, pp. 101-10 (ISI) .
T. Allahviranloo, M. Otadi, "Numerical solution of fuzzy integral equations", in Journal of Applied Mathematical Sciences, Vol. 2, 2008, no. 1, 33 - 46.
T. Allahviranloo, S. Hashemzehi, "The homotopy pertubation method for fuzzy Fredholm integral equations", in Journal of Applied Mathematics, IAU, Vol. 5, No. 19, Winter 2008, 1-13.
T. Allahviranloo, M. Khezerloo, M. Ghanbari, S. Khezerloo, "The homotopy pertubation method for fuzzy Voltera integral equations", in Journal of International Journal of Computational Cognition , Vol. 8, No. 2, June 2010.
H. Rouhparvar, T. Allahviranloo, S. Abbasbandy, "Exictence and uniqueness of fuzzy solution for linear Volterra fuzzy integral equations, proved by Adomian decomposition method", in Journal of ROMAI J. , 5, 2(2009), 153-161.
T. Allahviranloo, A. Amirteimoori, M. Khezerloo, S. Khezerloo, "A new method for solving fuzzy voltra integro-differential equations", in Journal of Australian Journal of Basic and Applied Sciences, 5(4): 154-164, 2011. (ISI)
M. Shafiei, T. Allahviranloo, S. Abbasbandy, "Numerical solution for nonlinear fuzzy voltra integral equtions", in Journal of Australian Journal of Basic and Applied Sciences, In press. (ISI)
S. Salahshour, T. Allahviranloo, S. Abbasbandy, A. Hakimzadeh, "Interval differential transformation method for solving interval Volterra integral equations", in Journal of World applied science, In press. (ISI)
T. Allahviranloo, M. Khezerloo, S. Khezerloo, S. Salahshour, "Toward the existence and uniqueness of solutions of second-order fuzzy Volterra integro-differential equations with fuzzy kernel", in Journal of Neural computing & applications, In press. (ISI)
S. Salahshour, T. Allahviranloo, "Application of fuzzy differential transform method for solving fuzzy Volterra integral equations", in Journal of Applied Mathematical Modelling, 37 (2013) 1016–1027. (ISI)
Sh. S. Behzadi, T. Allahviranloo, S. Abbasbandy "Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential equations by using Picard method", in Journal of Neural computing & applications, August 2012, Volume 21, Issue 1 Supplement, pp 337-346. (ISI)
M. Ghanbari, T. Allahviranloo, "A new application of homotopy analysis method", in Journal of Thai Journal of Mathematics, Vol. 10, No. 1, 2012, 43-57. (ISI)
T. Allahviranloo, M. Khezerloo, O. Sedaghatfar and S. Salahshour, "Toward the existence and uniqueness of solutions of second-order fuzzy volterra integro-differential
equations with fuzzy kernel", in Journal of Neural Computing and Applications, May 2013, Volume 22, Issue 1 Supplement, pp 133-141, http://dx.doi.org/10.1007/s00521-012-0849-x. (ISI)
Sh. Behzadi, T. Allahviranloo, S. Abbasbandy, "The use of fuzzy expansion method for Solving Fuzzy linear Volterra-Fredholm Integral Equations", in Journal of Fuzzy and Intelligent Systems, DOI: 10.3233/IFS-130861 (ISI)
Sh. Behzadi, T. Allahviranloo, S. Abbasbandy, "Application of Fuzzy Expansion Methods for Solving Fuzzy Fredholm- Volterra Integral Equations of the First Kind", in International Journal of Mathematical Modelling & Computations , Vol. 03, No. 01, 2013, 59- 70/li>
T. Allahviranloo, Sh. Behzadi, "The use of airfoil and Chebyshev polynomials methods for solving fuzzy Fredholm integro-differential equations with Cauchy kernel" in Soft Computing, DOI 10.1007/s00500-013-1173-9. (ISI)
T. Allahviranloo, S. Abbasbandy, s. Hashemzehi, "Approximating the Solution of the Linear and Nonlinear Fuzzy Volterra Integrodifferential Equations Using Expansion Methodl" in Abstract and Applied Analysis, vol. 2014, Article ID 713892, 7 pages, 2014. doi:10.1155/2014/713892. (ISI)
T. Allahviranloo, P. Salehi, M. Nejatian, "Existence and uniqueness of the solution of nonlinear fuzzy Volterra integral equations", in Iranian journal of fuzzy systems, In press. (ISI)
M. Noorizadeh, N. MikaeilvandT. Allahviranloo, " Existence of analytical solutions for a boundary value problem of fractional integral-differential equations by using Homotopy perturbation method and Adomian decomposition
", in Technology Review Journal, In press. (ISI)
Some subjects in Fuzzy systems: 4
Manjit Verma, Amit Kumar, Yaduvir Singh, T. Allahviranloo, "Application of Non-normal p-norm Trapezoidal Fuzzy Number in Reliability Evaluation of Electrical Substations", in Neural Computing and Applications , In Press. (ISI)
F. Abbasi, T. Allahviranloo, S. Abbasbandy"A new attitude coupled with fuzzy thinking to fuzzy rings and fields", in Journal of intelligent and fuzzy systems, 29 (2015) 851–861
DOI:10.3233/IFS-151615. (ISI)
B. Vahdani, Sh. Sadigh Behzadi, T. Allahviranloo"Optimal Multi-Products Dynamic Pricing and Inventory Policies for Coordinating Production and Marketing under Fuzzy Environment: Fuzzy Expansion Methods", in Scientia Iranica, Transaction E: Industrial Engineering, 2015, In press. (ISI)
L. Avazpour, T. Allahviranloo, Shafiqul Islam"Uncertain Hermite-Hadamard inequality for functions with(s,m)-Godunova-Levin derivatives via fractional integral", in The Journal of Nonlinear Science and Applications, Inpress. (ISI)
Fuzzy integration: 7
T. Allahviranloo, "Newton Cot's methods for integration of fuzzy functions", in Journal of Applied Mathematics and Computations, 2005, Vol. 166 pp 339-348. (ISI)
T. Allahviranloo, "Romberg Integration for fuzzy functions", in Journal of Applied Mathematics and Computations, 2005, Vol 168/2 pp 866-876. (ISI)
T. Allahviranloo, M. Otadi,"Gauss quadratures for approximate of fuzzy integration", in Journal of Applied Mathematics and Computations, 2005, Vol 170/2 pp 874-885. (ISI), Top 25 Hottest Articles on Sciencedirect.com, OCT-DEC 2005.
T. Allahviranloo, M. Otadi, "Gaussian quadratures for approximate of fuzzy multiple integrals", in Journal of Applied Mathematics and Computations, 2005,Vol. 172/1 pp 175-187. (ISI)
T. Allahviranloo, M. Otadi, "Newton Cot's quadratures for approximate of fuzzy multiple integrals", in Journal of Nonlinear Studies, 2005, In press.
T. Allahviranloo, M. Otadi, "On the fuzzy neural networks for approximate of fuzzy integration", in Journal of Nonlinear Studies, 2005, In press.
T. Allahviranloo, A. Borhanifar, S. Hajihosseinlou, "Quadrature rules for fuzzy integrals, in Journal of Applied Mathematics, IAU, In press.
Fuzzy regression and interpolation: 4
T. Allahviranloo, T. Hajari, "Numerical methods for approximation of fuzzy surfaces", in Journal of Applied Mathematics and Computations, Volume 169, Issue 1, 1 October 2005, Pages 16-33. (ISI)
E. Pasha, T. Razzaghnia, T. Allahviranloo, Gh. Yari, H. R. Mostafaei, "Fuzzy Linear Regression Models with Fuzzy Entropy", in Journal of Applied Mathematical Sciences, Vol. 1, 2007, no. 35, 1715 - 1724.
T. Allahviranloo, S. Khezerloo, M. Adabitabar Firouzja, "Fuzzy regression on fuzzy data by new metric distance", in Journal of Southeast Asian Bulletin of Mathematics, 2010, 34, 215-230.
M. Otadi, T. Allahviranloo, M. Mosleh, "Evaluation of fully fuzzy regression models by fuzzy neural network", in Journal of Neural Computing and Applications, 21 (2012) 105-112. (ISI)
Fuzzy equations: 2
T. Allahviranloo, M. Otadi, M. Mosleh, "Iterative method for fuzzy equations", in Journal of Soft Computing, Volume 12, 2008, Issue 10, 935-939. (ISI)
T. Allahviranloo, L. Gerami, "The solution of fully fuzzy quadratic equation based on optimization theory", in Journal of The Scientific World Journal, Volume 2014 (2014), Article ID 156203, 6 pages. (ISI)
Intelligent systems: 1
Manjit Verma, Amit Kumar, Yaduvir Singh, T. Allahviranloo, "Application of Non-normal p-norm Trapezoidal Fuzzy Number in Reliability Evaluation of Electrical Substations", in Journal of Neural computing and applications, 23(2): 531-539 (2013). (ISI)
Fuzzy data envelopment analysis (FDEA), Fuzzy Linear Programming (FLP) and Decision making management: 16
B. Daneshian, G. R. Jahanshahloo, F. Hosseinzadeh, T. Allahviranloo, S. Mehrabian, "The Overall Assurance Interval for The Non-Archimedean Epsilon in DEA Models", in Journal of Mathematical & Computational Applications, Vol. 10, No. 3, 2005, 387-395. (ISI)
G. Jahanshahloo, F. Hosseinzadeh Lotfi, T. Allahviranloo, F. Rezai Balf,
H. Ziani Rezai "Finding suitable benchmark for inefficiient commercial bank branches, application of DEA", in journal of International Journal of Contemporary Mathematical Sciences, Vol. 2, 2007, no. 1-4, 183 - 193.
F. Hosseinzadeh Lotfi, T. Allahviranloo, F. Rezai Balf,
H. Ziani Rezai "The outputs estimation and improvement of efficiency on interval data in DEA", in journal of International Journal of Contemporary Mathematical Sciences, Vol. 2, 2007, no. 4, 195 - 201.
T. Allahviranloo, Kh. Shamsolkotabi, N. A. kiani, L. Alizadeh"Fuzzy integer linear programmin problem", in journal of International Journal of Contemporary Mathematical Sciences, Vol. 2, 2007, no. 1-4, 167 - 181.
G. Jahanshahloo, F. Hosseinzadeh Lotfi, M. Adabitabar Firouzja, T. Allahviranloo, E. Zahedy Alamdary"Ranking DMUs with Fuzzy Data in DEA", in journal of International Journal of Contemporary Mathematical Sciences, Vol. 2, 2007, no. 5, 203 - 211.
G. Jahanshahloo, F. Hosseinzadeh Lotfi, T. Allahviranloo, D. Akbarian"Approximation of non-Archimedean number in multiplier form of CCR model
by assurance interval", in journal of Non linear studies, 2005, In press.
T. Allahviranloo, F. Hosseinzadeh Lotfi, M Adabitabar Firouzja"Fuzzy Efficiency Measure with Fuzzy Production Possibility Set", in journal of Applications and Applied Mathematics: A International Journal (AAM), Vol. 2. No. 2 (Dec 2007) pp. 152-166.
R. Saneifard, F. Hosseinzadeh Lotfi, T. Allahviranloo, N. Mikaeilvand"Euclidean Ranking DMUs with Fuzzy Data in DEA", in journal of Applied Mathematical Sciences, Vol. 1, 2007, no. 60, 2989 - 2998.
T. Allahviranloo, F. Hosseinzadeh Lotfi, M. Khorasani, N. Kiani, L. Alizadeh"Solving Fully Fuzzy Linear Programming Problem by the Ranking Function", in journal of Applied Mathematical Sciences,Vol. 2, 2008, no. 1, 19 - 32.
T. Allahviranloo, F. Hosseinzadeh LOtfi, L. Alizadeh, N. Kiani"Degenercy in Fuzzy Linear Programming Problems ", in journal of The Journal of Fuzzy Mathematics (International Fuzzy Mathematics Institute), Vol. 17, No. 2, 2009.
F. Hosseinzadeh Lotfi, T. Allahviranloo, M. Alimardani, N. Kiani"A new method for complex decision making based od TOPSIS for complex decision making problems wih fuzzy data ", in The Journal of Applied Mathematical Sciences, Vol. 1, 2007, no. 60, 2981-2987.
F. Hosseinzadeh Lotfi, G. Jahanshahloo, T. Allahviranloo, E. Noroozi,
A. A. Hosseinzadeh Lotfi, "Equitable Allocation of Shared Costs on Fuzzy Environment", in journal of International Mathematical Forum, 2, 2007, no. 65, 3199 - 3210.
F. Hosseinzadeh Lotfi, T. Allahviranloo, M. Alimardani, L. Alizadeh"Solving a Full Fuzzy Linear Programming using lexicography method and fuzzy approximate solution", in journal of Applied Mathematical Modelling, Vol. 33 (2009) 3151-3156. (ISI)
F. Hosseinzadeh Lotfi, T. Allahviranloo, M. Alimardani, L. Alizadeh"Full fuzzy linear programming with MOLP appearance and application in Insurance Organization", in journal of Information Science, In Press. (ISI)
T. Allahviranloo, F. Hosseinzadeh Lotfi, M. Adabitabar Firozja"Efficiency in Fuzzy Production Possibility Set", in Iranian Journal of Fuzzy Systems, Vol. 9, No. 4, (2012) pp. 17-30. (ISI)
L. Alizadeh, T. Allahviranloo, F. Hosseinzadeh Lotfi, N. A. Kiani"Degeneracy in Fuzzy Linear Programming & its Application", in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems , In Press. (ISI)
Non Fuzzy papers: 11
T. Allahviranloo, E. Khaji, N. Samadzadegen, "A New Accelerator for Generating Combined Iterative Methods in Solving Nonlinear Equation", in Journal of Int. J. of Industrial Math., Vol. 2, No. 3, 2010, 237-244.
S. Abbasbandy, T. Allahviranloo, M. Ghanbari, "The series solution of evolution equations by different semi-analytical methods", in Journal of Basic Science., In press.
T. Allahviranloo, M. Ghanbari"Discrete homotopy analysis method for the nonlinear Fredholm integral equations", in Journal of Ain Shams Engineering Journal, (2011) 2, 133-140.
Sh. Sadigh Behzadi, T. Allahviranloo"Convergence of iterative methods for solving Kawahara equation", in Journal of Applied Sciences,, In press. (ISI)
Sh. Sadigh Behzadi, S. Abbasbandy, T. Allahviranloo, A. Yildirim, "Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredhol integro-differential equations", in Journal of Applied Analysis and Computation,, In press. (ISI)
T. Allahviranloo, Sh. S. Behzadi"Application of Iterative Methods for Solving
General Riccati Equation", in Journal of Int. J. of Industrial Math., (2012) Vol. 4, No. 4.
T. Allahviranloo, Sh. S. Behzadi"The use of iterative methods for solving Black-Scholes equation", in Journal of Int. J. of Industrial Math., (2013) Vol. 5, No. 1.
Sh. Sadigh Behzadi, S. Abbasbandy, T. Allahviranloo, "A study on singular integro-differential equation of Abel's type by iterative methods", in J. Appl. Math. & Informatics Vol. 31(2013), No. 3 - 4, pp. 499 - 511. (ISI)
M. Ghanbari, S. Abbasbandy, T. Allahviranloo, "A new approach to determine the convergence-control parameters in the application of the homotopy analysis method to systems of linear equations", in Appl. Comput. Math., V.12, N.3, 2013, pp. 355-364. (ISI)
S. Abbasbandy, T. Allahviranloo, M. Ghanbari"The series solutions of evolution equations by different semi-analytical methods", in J. Sci. I. A. U (JSIAU),Vol. 22, No. 86.2, Winter 2013.
T. Allahviranloo, Z. Gouyandeh, A. Armand"Numerical Solutions for Fractional Differential Equations by Tau-Collocation Method", in App. Math. Comp. , In press. (ISI)
T. Allahviranloo, Z. Gouyandeh, A. Armand"Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via Tau-collocation method with convergence analysis", in Journal of computational and applied mathematics , Volume 308, 15 December 2016, Pages 435–446. (ISI)