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.
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 Inclusion by 2’nd Taylor Method", in J.S.I.A.U., 2004, to appear.
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.
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, In press. (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, "Revised Predictor Corrector Method for solving fuzzy initial value problem", in journal of Information Science, In press. (ISI)
T. Allahviranloo, N. A. Kiani, N. Motamedi, "Solving Fuzzy Differential equations by Differential Transformation Method", in journal of Information Science, In press. (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, In press. (ISI)
Ranking of fuzzy numbers and Approximation of fuzzy numbers: 1
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)
Fuzzy partial differential equations (FPDE): 2
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.
Fuzzy integral equations: 2
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.
Fuzzy system of linear equations: 14
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.
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 , In press.
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, In press.
Fuzzy integration: 6
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.
Fuzzy interpolation: 3
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, In press.
Fuzzy equations: 1
T. Allahviranloo, M. Otadi, M. Mosleh, "Iterative method for fuzzy equations", in Journal of Soft Computing, Volume 12, 2008, Issue 10, 935-939. (ISI)
Fuzzy data envelopment analysis (FDEA) and Fuzzy Linear Programming (FLP): 13
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, 2005, In press.
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), 2007, In press.
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, In Press. (ISI)
Submitted Papers: 29
1. Non-Zero Solution of Full Fuzzy Linear System $\mathbf{A}\mathbf{X}=\mathbf{b}$, submitted to the journal of INS.
2. Trapezoidal approximate of fuzzy number, submitted to the journal of IJUFKS.
3. Ranking of fuzzy numbers by a new metric, submitted to the journal of Applied Soft Computing.
4. Fully Fuzzy Linear System $\mathbf{A}\mathbf{X}=\mathbf{b}$, submitted to the journal of FODM.
5. A New Metric Distance for Interval and Fuzzy Numbers, submitted to the journal of AAM.
6. Fuzzy determinant of Fuzzy matrix , submitted to the Southeast Asian Bulletin of Mathematics.
7. Iterative methods for fuzzy initial value problem, submitted to the Journal of Soft Computing.
8. Fuzzy linear matrix equations, submitted to the Journal of FODM
9. The approximate solution of interval and fuzzy linear system of equations, submitted to the Journal of IEEE Transaction on Fuzzy systems.
10. The approximate solution of full interval linear system of equations, submitted to the Journal of SC.
11. Novel ranking method of fuzzy numbers, submited to journal of Mathematics of Computation.
12. Efficiency in Fuzzy Production Possibility Set, submited to journal of Applied Mathematical Modelling.
13. Comparison of two fuzzy numbers by new ranking degree, submited to journal of Information Sciences.
14. Differential Transformation Method for solving Fuzzy Differential inclusions by Fuzzy Partitions , submited to journal of International journal of computer mathematics.
15. Fuzzy laplace transforms , submited to journal of SC.
16. Fully Fuzzy Linear System $\mathbf{A}\mathbf{X}=\mathbf{b}$, submited to journal of IEEETFS.
17. A Method for Fully Fuzzy Linear System of Equations, submited to journal of International Journal of Computational Methods (IJCM) .
18. Laasonen method for approximation of solution of Fuzzy parabolic partial differential equation, submited to journal of INS.
19. Signed Decomposition of Fully Fuzzy Linear Systems Using MOLP, submited to International Journal of Computational Methods (IJCM) .
20. Multi-step methods for hybrid fuzzy differential equations, submited to International Journal of Computer Mathematics
21. Extended predictor-corrector methods for solving fuzzy differential equations under generalized differential, submited to INS
22. Differential transformation method for solving fuzzy differential
inclusions by fuzzy partitions , submited to International SOCO TFS
23. Extrapolation method for fuzzy differential inclusions , submited to SC.
24. The homotopy perturbation method for fuzzy fredholm integral equations , submited to International Journal of Computational Cognition .
25. Solving fuzzy linear systems by homotopy perturbation method, submited to International Journal of Computational Cognition .
26. Solution of fuzzy differential equations under generalized differentiability by Adomian decomposition method, submited to Journal of "Computational Mathematics and Modeling"
.
27. Numerical solution of fuzzy initial value problems by VIM and ADM, submited to Journal of "Information Sciences"
.
28. Numerical solution of fuzzy initial value problems under generalized differentiability by HPM, submited to Journal of "INS".
