Prof. Dr. Tofigh Allahviranloo

Professor
Islamic Azad University, Iran

Highest Degree
Ph.D. in Applied Mathematics from Islamic Azad University, Parand, Iran

My URL
https://livedna.org/98.19944

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Area of Interest:

Mathematics
Differential Equations
Numerical Simulation
Integral Equations
Linear Algebra

Selected Publications

  1. Veiseh, H., T. Lotfi and T. Allahviranloo, 2018. On general conditions for nestedness of the solution set of fuzzy-interval linear systems. Fuzzy Sets Syst., 331: 105-115.
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  2. Sahihi, H., S. Abbasbandy and T. Allahviranloo, 2018. Reproducing kernel method for solving singularly perturbed differential-difference equations with boundary layer behavior in Hilbert space. J. Comput. Applied Math., 328: 30-43.
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  3. Veiseh, H., T. Lotfi and T. Allahviranloo, 2017. A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub’s method. Comput. Applied Math., 10.1007/s40314-017-0458-5.
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  4. Pirmuhammadi, S., T. Allahviranloo and M. Keshavarz, 2017. The parametric form of Z‐number and its application in Z‐number initial value problem. Int. J. Intell. Syst., 32: 1030-1061.
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  5. Nojavan, H., S. Abbasbandy and T. Allahviranloo, 2017. Variable shape parameter strategy in local radial basis functions collocation method for solving the 2D nonlinear coupled Burgers’ equations. Mathematics, Vol. 5. 10.3390/math5030038.
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  6. Gouyandeh, Z., T. Allahviranloo, S. Abbasbandy and A. Armand, 2017. A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform. Fuzzy Sets Syst., 309: 81-97.
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  7. Fazli, A., T. Allahviranloo and S. Javadi, 2017. Numerical solution of nonlinear two-dimensional Volterra integral equation of the second kind in the reproducing kernel space. Math. Sci., 11: 139-144.
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  8. Ezadi, S. and T. Allahviranloo, 2017. Numerical solution of linear regression based on Z-numbers by improved neural network. Intell. Automat. Soft Comput., 10.1080/10798587.2017.1328812.
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  9. Ezadi, S. and T. Allahviranloo, 2017. New multi-layer method for Z-number ranking using hyperbolic tangent function and convex combination. Intell. Automat. Soft Comput., 10.1080/10798587.2017.1367146.
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  10. Armand, A., T. Allahviranloo, S. Abbasbandy and Z. Gouyandeh, 2017. Fractional relaxation-oscillation differential equations via fuzzy variational iteration method. J. Intell. Fuzzy Syst., 32: 363-371.
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  11. Allahviranloo, T., I. Perfilieva and F. Abbasi, 2017. A new attitude coupled with fuzzy thinking for solving fuzzy equations. Soft Comput., 10.1007/s00500-017-2562-2.
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  12. Allahviranloo, T. and F. Babakordi, 2017. Algebraic solution of fuzzy linear system as: AX+BX=Y. Soft Comput., 21: 7463-7472.
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  13. Alinezhad, M. and T. Allahviranloo, 2017. On the solution of fuzzy fractional optimal control problems with the Caputo derivative. Inform. Sci., 421: 218-236.
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  14. Ahmadi, N., A.R. Vahidi and T. Allahviranloo, 2017. An efficient approach based on radial basis functions for solving stochastic fractional differential equations. Math. Sci., 11: 113-118.
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  15. Abolhasani, M., S. Abbasbandy and T. Allahviranloo, 2017. A new variational iteration method for a class of fractional convection-diffusion equations in large domains. Mathematics, Vol. 5. 10.3390/math5020026.
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  16. Vahdani, B., S.S. Behzadi and T. Allahviranloo, 2016. Optimal multi-product dynamic pricing and inventory policies for coordinating production and marketing under fuzzy environment: Fuzzy expansion methods. Scientia Iranica, 23: 2297-2317.
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  17. Gouyandeh, Z., T. Allahviranloo and A. Armand, 2016. Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via Tau-collocation method with convergence analysis. J. Comput. Applied Math., 308: 435-446.
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  18. Chehlabi, M. and T. Allahviranloo, 2016. Concreted solutions to fuzzy linear fractional differential equations. Applied Soft Comput., 44: 108-116.
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  19. Behzadi, S.S., B. Vahdani, T. Allahviranloo and S. Abbasbandy, 2016. Application of fuzzy Picard method for solving fuzzy quadratic Riccati and fuzzy Painlevé I equations. Applied Math. Model., 40: 8125-8137.
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  20. Behzadi, S.S. and T. Allahviranloo, 2016. Solving fuzzy differential equations by using Picard method. Iranian J. Fuzzy Syst., 13: 71-81.
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  21. Babakordi, F. and T. Allahviranloo, 2016. An efficient method for solving LR fuzzy dual matrix systems. J. Intell. Fuzzy Syst., 30: 575-581.
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  22. Avazpour, L., T. Allahviranloo and S. Islam, 2016. Uncertain Hermite-Hadamard inequality for functions with (s, m)-Godunova-Levin derivatives via fractional integral. J. Nonlinear Sci. Applic., 9: 3333-3347.
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  23. Allahviranloo, T., Z. Gouyandeh and A. Armand, 2016. General solution of basset equation with Caputo generalized Hukuhara derivative. Applied Anal. Applic., 6: 119-130.

  24. Abbasi, F., T. Allahviranloo and S. Abbasbandy, 2016. A new attitude coupled with the basic fuzzy thinking to distance between two fuzzy numbers. Iranian J. Fuzzy Syst., 13: 21-39.

  25. Rahmani, A., M. Rostamy, F.H. lotfi and T. Allahviranloo, 2016. A new method for defuzzification and ranking of fuzzy numbers based on the statistical Beta distribution. Adv. Fuzzy Syst., Vol. 2016. 10.1155/2016/6945184.
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  26. Allahviranloo, T., Z. Gouyandeh, A. Armand and A. Hasanoglu, 2015. On fuzzy solutions for heat equation based on generalized Hukuhara differentiability. Fuzzy Sets Syst., 265: 1-23.

  27. Allahviranloo, T., Z. Gouyandeh and A. Armand, 2015. Numerical solutions for fractional differential equations by Tau-Collocation method. Applied Math. Comput., 271: 979-990.
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  28. Allahviranloo, T., Z. Gouyandeh and A. Armand, 2015. A full fuzzy method for solving differential equation based on Taylor expansion. J. Intell. Fuzzy Syst., 29 : 1039-1055.
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  29. Allahviranloo, T., P. Salehi and M. Nejatiyan, 2015. Existence and uniqueness of the solution of nonlinear fuzzy Volterra integral equations. Iranian J. Fuzzy Syst., 12: 75-86.
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  30. Allahviranloo, T. and M. Chehlabi, 2015. Solving fuzzy differential equations based on the length function properties. Soft Comput., 19: 307-320.
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  31. Abbasi, F., T. Allahviranloo and S. Abbasbandy, 2015. A new attitude coupled with fuzzy thinking to fuzzy rings and fields. Intell. Fuzzy Syst., 29: 851-861.
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  32. Kargar, R., T. Allahviranloo, M. Rostami-Malkhalifeh and G.R. Jahanshaloo, 2014. A proposed method for solving fuzzy system of linear equations. Scient. World J., Vol. 2014. 10.1155/2014/782093.
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  33. Behzadi, S.S., T. Allahviranloo and S. Abbasbandy, 2014. The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations. J. Intel. Fuzzy Syst., 26: 1817-1822.
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  34. Behzadi, S.S., T. Allahviranloo and S. Abbasbandy, 2014. Fuzzy collocation methods for second-order fuzzy Abel-Volterra integro-differential equations. Iranian J. Fuzzy Syst., 11: 71-88.
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  35. Avazpour, L. and T. Allahviranloo, 2014. Uncertain Ostrowski type inequalities for functions which their derivations are preinvex via fractional integral. Veliger, 53: 1-11.

  36. Allahviranloo, T., Z. Gouyandeh and A. Armand, 2014. Fuzzy fractional differential equations under generalized fuzzy Caputo derivative. J. Intell. Fuzzy Syst., 26: 1481-1490.
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  37. Allahviranloo, T., S. Abbasbandy and S.S. Behzadi, 2014. Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method. Soft Comput., 18: 2191-2200.
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  38. Allahviranloo, T., S. Abbasbandy and S. Hashemzehi, 2014. Approximating the solution of the linear and nonlinear fuzzy Volterra integrodifferential equations using expansion method. Abstr. Applied Anal., Vol. 2014. 10.1155/2014/713892.
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  39. Allahviranloo, T., M. Ayatollahi, F. Amini and E. Vaseghi, 2014. Fuzzy BIBO stability of linear control systems. J. Math. Extension, 8: 59-69.

  40. Allahviranloo, T., A.A. Hosseinzadeh, M. Ghanbari, E. Haghi and R. Nuraei, 2014. On the new solutions for a fully fuzzy linear system. Soft Comput., 18: 95-107.
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  41. Allahviranloo, T. and S.S. Behzadi, 2014. The use of airfoil and Chebyshev polynomials methods for solving fuzzy Fredholm integro-differential equations with Cauchy kernel. Soft Comput., 18: 1885-1897.
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  42. Allahviranloo, T. and L. Hooshangian, 2014. Fuzzy generalized H-differential and applications to fuzzy differential equations of second-order. J. Intell. Fuzzy Syst., 26: 1951-1967.
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  43. Allahviranloo, T. and L. Hooshangian, 2014. A new method to find fuzzy nth order derivation and applications to fuzzy nth order arithmetic based on generalized h-derivation. Int. J. Optimiz. Control: Theor. Applic., 4: 105-121.
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  44. Allahviranloo, T. and L. Gerami, 2014. The solution of fully fuzzy quadratic equation based on optimization theory. Scient. World J., Vol. 2014. 10.1155/2014/156203.
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  45. Verma, M., A. Kumar, Y. Singh and T. Allahviranloo, 2013. Application of non-normal p-norm trapezoidal fuzzy number in reliability evaluation of electrical substations. Neural Comput. Applic., 23: 531-539.
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  46. Salahshour, S. and T. Allahviranloo, 2013. Applications of fuzzy Laplace transforms. Soft Comput., 17: 145-158.
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  47. Salahshour, S. and T. Allahviranloo, 2013. Application of fuzzy differential transform method for solving fuzzy Volterra integral equations. Applied Math. Model., 37: 1016-1027.

  48. Nouraei, R., T. Allahviranloo and M. Ghanbari, 2013. Finding an inner estimation of the solution set of a fuzzy linear system. Applied Math. Model., 37: 5148-5161.

  49. Moloudzadeh, S., T. Allahviranloo and P. Darabi, 2013. A new method for solving an arbitrary fully fuzzy linear system. Soft Comput., 17: 1725-1731.
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  50. Ghanbari, M., S. Abbasbandy and T. Allahviranloo, 2013. A new approach to determine the convergence-control parameter in the application of the homotopy analysis method to systems of linear equations. Applied Comput. Math., 12: 355-364.

  51. Behzadi, S.S., T. Allahviranloo and S. Abbasbandy, 2013. Application of fuzzy expansion methods for solving fuzzy Fredholm-Volterra integral equations of the first kind. Int. J. Math. Model. Comput., 3: 59-70.

  52. Behzadi, S.S., S. Abbasbandy and T. Allahviranloo, 2013. A study on singular integro-differential equation of Abel's type by iterative methods. J. Appl. Math. Inform., 31: 499-511.

  53. Allahviranloo, T., S. Salahshour, M.H. Nejad and D. Baleanu, 2013. General solutions of fully fuzzy linear systems. Abstract Applied Anal., Vol. 2013. 10.1155/2013/593274.
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  54. Allahviranloo, T., S. Abbasbandy, M.R. Shahryari, S. Salahshour and D. Baleanu, 2013. On solutions of linear fractional differential equations with uncertainty. Abstr. Applied Anal., Vol. 2013. 10.1155/2013/178378.
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  55. Allahviranloo, T., M. Khezerloo, O. Sedaghatfar and S. Salahshour, 2013. Toward the existence and uniqueness of solutions of second-order fuzzy volterra integro-differential equations with fuzzy kernel. Neural Comput. Applic., 22: 133-141.
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  56. Allahviranloo, T., M. Khezerloo, O. Sedaghatfar and S. Salahshour, 2013. Toward the existence and uniqueness of solutions of second-order fuzzy volterra integro-differential equations with fuzzy kernel. Neural Comput. Applic., 22: 133-141.
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  57. Allahviranloo, T., M. Jahantigh and S. Hajighasemi, 2013. A new distance measure and ranking method for generalized trapezoidal fuzzy numbers. Math. Problems Eng., Vol. 2013. 10.1155/2013/623757.
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  58. Allahviranloo, T., L. Avazpour, M.J. Ebadi, D. Baleanu and S. Salahshour, 2013. RETRACTED ARTICLE: Fuzzy fractional Ostrowski inequality with Caputo differentiability. J. Inequalities Applic., Vol. 2013. 10.1186/1029-242X-2013-50.
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  59. Allahviranloo, T., F.H. Lotfi, M. khorasani and M. Khezerloo, 2013. On the solution of fuzzy linear system. Applied Math. Model., 37: 1170-1176.

  60. Allahviranloo, T. and S.S. Behzadi, 2013. The use of iterative methods for solving Black-Scholes equation. Int. J. Ind. Math., Vol. 5. .
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  61. Allahviranloo, T. and L. Hooshangian, 2013. A method to find fuzzy eigenvalues and fuzzy eigenvectors of fuzzy matrix. Neural Comput. Applic., 23: 1159-1167.

  62. Abbasbandy, S., T. Allahviranloo and M. Ghanbari, 2013. The series solutions of evolution equations by different semi-analytical methods. J. Sci. (Islamic AZAD Univ.), 22: 34-52.

  63. Saneifard, R. and T. Allahviranloo, 2012. A comparative study of ranking fuzzy numbers based on regular weighted function. Fuzzy Inform. Eng., 3: 235-248.

  64. Salahshour, S., T. Allahviranloo, S. Abbasbandy and D. Baleanu, 2012. Existence and uniqueness results for fractional differential equations with uncertainty. Adv. Differ. Equat., Vol. 2012. 10.1186/1687-1847-2012-112.
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  65. Salahshour, S., T. Allahviranloo and S. Abbasbandy, 2012. Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Commun. Nonlinear Sci. Numer. Simul., 17: 1372-1381.
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  66. Otadi, M., T. Allahviranloo and M. Mosleh, 2012. Evaluation of fully fuzzy regression models by fuzzy neural network. Neural Comput. Applic., 21: 105-112.

  67. Ghanbari, M., T. Allahviranloo and E. Haghi, 2012. Estimation of algebraic solution by limiting the solution set of an interval linear system. Soft Comput., 16: 2135-2142.
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  68. Ghanbari, M. and T. Allahviranloo, 2012. A new application of homotopy analysis method. Thai J. Math., 10: 43-57.

  69. Ezzati, R., T. Allahviranloo, S. Khezerloo and M. Khezerloo, 2012. An approach for ranking of fuzzy numbers. Expert Syst. Applic., 39: 690-695.
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  70. Behzadi, S.S., T. Allahviranloo and S. Abbasbandy, 2012. Solving fuzzy second-order nonlinear Volterra-Fredholm integro-differential equations by using Picard method. Neural Comput. Applic., 21: 337-346.
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  71. Behzadi, S.S., S. Abbasbandy, T. Allahviranloo and A. Yildirim, 2012. Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations. J. Applied Anal. Comput., 2: 127-136.

  72. Allahviranloo, T., S. Salahshour and S. Abbasbandy, 2012. Explicit solutions of fractional differential equations with uncertainty. Soft Comput., 16: 297-302.
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  73. Allahviranloo, T., S. Salahshour and L. Avazpour, 2012. On the fractional Ostrowski inequality with uncertainty. J. Math. Anal. Applic., 395: 191-201.

  74. Allahviranloo, T., S. Abbasbandy, O. Sedaghgatfar and P. Darabi, 2012. A new method for solving fuzzy integro-differential equation under generalized differentiability. Neural Comput. Applic., 21: 191-196.
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  75. Allahviranloo, T., S. Abbasbandy and S. Hajighasemi, 2012. A new similarity measure for generalized fuzzy numbers. Neural Comput. Applic., 21: 289-294.
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  76. Allahviranloo, T., M. Ghanbari, E. Haghi, A. Hosseinzadeh and R. Nouraei, 2012. A new metric for L-R fuzzy numbers and its application in fuzzy linear systems. Soft Comput., 16: 1743-1754.
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  77. Allahviranloo, T., F.H. Lotfi and M.A. Firozja, 2012. Efficiency in fuzzy production possibility set. Iran. J. Fuzzy Syst., 9: 17-30.
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  78. Allahviranloo, T., E. Haghi and M. Ghanbari, 2012. The nearest symmetric fuzzy solution for a symmetric fuzzy linear system. Analele Stiintifice ale Universitatii Ovidius Constanta, 20: 151-172.

  79. Allahviranloo, T. and S.S. Behzadi, 2012. Application of iterative methods for solving general Riccati equation. Int. J. Ind. Math., 4: 389-404.
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  80. Allahviranloo, T. and S. Gholami, 2012. Note on ”Generalized Hukuhara differentiability of interval-valued functions and interval differential equations”. Fuzzy Set Valued Anal., Vol. 2012. 10.5899/2012/jfsva-00135.
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  81. Allahviranloo, T. and R. Saneifard, 2012. Defuzzification method for ranking fuzzy numbers based on center of gravity. Iranian J. Fuzzy Syst., 9: 57-67.

  82. Allahviranloo, T. and M. Ghanbari, 2012. On the algebraic solution of fuzzy linear systems based on interval theory. Applied Math. Model., 36: 5360-5379.
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  83. Allahviranloo, T. and M. Ghanbari, 2012. A new approach to obtain algebraic solution of interval linear systems. Soft Comput., 16: 121-133.
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  84. Sigarpich, L.A., T. Allahviranloo, F.H. Lotfi and N.A. Kiani, 2011. Degeneracy in fuzzy linear programming and its application. Int. J. Uncertainty Fuzziness Knowl.-Based Syst., 19: 999-1012.
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  85. Khalilpour, K. and T. Allahviranloo, 2011. An initial-value method for two-point fuzzy boundary value problems. World Applied Sci. J., 13: 2148-2155.

  86. Allahviranloo, T., S. Abbasbandy, S. Salahshour and A. Hakimzadeh, 2011. A new method for solving fuzzy linear differential equations. Computing, 92: 181-197.
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  87. Allahviranloo, T., S. Abbasbandy and R. Saneifard, 2011. An approximation approach for ranking fuzzy numbers based on weighted interval-value. Math. Comput. Applic., 16: 588-597.
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  88. Allahviranloo, T., S. Abbasbandy and R. Saneifard, 2011. A method for ranking of fuzzy numbers using new weighted distance. Math. Comput. Applic., 16: 359-369.
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  89. Allahviranloo, T., S. Abbasbandy and H. Rouhparvar, 2011. The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method. Applied Soft Comput., 11: 2186-2192.
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  90. Allahviranloo, T., M. Ghanbari, E. Haghi, A. Hosseinzadeh and R. Nouraei, 2011. A note on "Fuzzy linear systems". Fuzzy Sets Syst., 177: 87-92.

  91. Allahviranloo, T., A. Borhanifar and S. Hajihosseinlou, 2011. Quadrature rules for fuzzy integrals. J. Applied Math., 8: 9-22.
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  92. Allahviranloo, T., A. Amirteimoori, M. Khezerloo and S. Khezerloo, 2011. A new method for solving fuzzy voltra integro-differential equations. Aust. J. Basic Applied Sci., 5: 154-164.

  93. Allahviranloo, T. and S. Salahshour, 2011. Maximal- and minimal symmetric solutions of fully fuzzy linear systems. Comput. Applied Math., 235: 4652-4662.

  94. Allahviranloo, T. and S. Salahshour, 2011. Fuzzy symmetric solutions of fuzzy linear systems. Comput. Applied Math., 235: 4545-4553.

  95. Allahviranloo, T. and S. Salahshour, 2011. Bounded and symmetric solutions of fully fuzzy linear systems in dual form. Proc. Comput. Sci., 3: 1494-1498.
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  96. Allahviranloo, T. and N. Mikaeilvand, 2011. Non zero solutions of the fully fuzzy linear systems. Applied Comput. Math., 10: 271-282.

  97. Allahviranloo, T. and N. Mikaeilvand, 2011. Fully fuzzy linear systems solving using MOLP. World Applied Sci. J., 12: 2268-2273.
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  98. Allahviranloo, T. and M. Ghanbari, 2011. Discrete homotopy analysis method for the nonlinear Fredholm integral equations. Ain Shams Eng. J., 2: 133-140.
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  99. Allahviranloo, T. and K. Khalilpour, 2011. A numerical method for two-point fuzzy boundary value problems. World Applied Sci. J., 13: 2137-2147.
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  100. Allahviranloo, T. and S. Salahshour, 2011. Euler method for solving hybrid fuzzy differential equation. Soft Comput., 15: 1247-1253.
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  101. Abbasbandy, S., T. Allahviranloo, P. Darabi and O. Sedaghatfar, 2011. Variational iteration method for solving n-th order fuzzy differential equations. Math. Comput. Appl., 16: 819-829.
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  102. Abbasbandy, S., T. Allahviranloo and P. Darabi, 2011. Numerical solution of N-order fuzzy differential equations by Runge-Kutta method. Math. Comput. Applic., 16: 935-946.
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  103. Rouhparvar, H., S. Abbasbandy and T. Allahviranloo, 2010. Existence and uniqueness of solution of an uncertain characteristic cauchy reaction-diffusion equation by Adomian decomposition method. Math. Comput. Applic., 15: 404-419.
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  104. Allahviranloo, T., S. Khezerloo and M.A. Firouzja, 2010. Fuzzy regression on fuzzy data by new metric distance. Southeast Asian Bull. Math., 34: 215-230.

  105. Allahviranloo, T., M. Khezerloo, M. Ghanbari and S. Khezerloo, 2010. The homotopy perturbation method for fuzzy Volterra integral equations. Int. J. Comput. Cognition, 8: 31-37.
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  106. Allahviranloo, T., E. Khaji and N. Samadzadegan, 2010. Latus: A new accelerator for generating combined iterative methods in solving nonlinear equation. Int. J. Ind. Math., 2: 237-244.
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  107. Allahviranloo, T. and M.B. Ahmadi, 2010. Fuzzy laplace transforms. Soft Comput., 14: 235-243.
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  108. Allahviranloo, T. and M.A. Firozja, 2010. Ranking of fuzzy numbers by a new metric. Soft Comput., 14: 773-782.
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  109. Allahviranloo, T. and M. Ghanbari, 2010. Solving fuzzy linear systems by homotopy perturbation method. Int. J. Comput. Cognition, 8: 91-96.

  110. Allahviranloo, T. and M. Afshar, 2010. Numerical methods for fuzzy linear partial differential equations under new definition for derivative. Iranian J. Fuzzy Syst., 7: 33-50.

  111. Rouhparvar, H., T. Allahviranloo and S. Abbasbandy, 2009. Existence and uniqueness of fuzzy solution for linear Volterra fuzzy integral equations proved by Adomian decomposition method. ROMAI J., 5: 153-161.
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  112. Lotfi, F.H., T. Allahviranloo, M.A. Jondabeh and L. Alizadeh, 2009. Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution. Applied Math. Model., 33: 3151-3156.
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  113. Allahviranloo, T., S. Abbasbandy, N. Ahmady and E. Ahmady, 2009. Improved predictor-corrector method for solving fuzzy initial value problems. Inform. Sci., 179: 945-955.
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  114. Allahviranloo, T., N.A. Kiani and N. Motamedi, 2009. Solving fuzzy differential equations by differential transformation method. Inform. Sci., 179: 956-966.
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  115. Allahviranloo, T., N.A. Kiani and M. Barkhordari, 2009. Toward the existence and uniqueness of solutions of second-order fuzzy differential equations. Inform. Sci., 179: 1207-1215.
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  116. Allahviranloo, T., N. Mikaeilvand and M. Barkhordari, 2009. Fuzzy linear matrix equations. Fuzzy Optim. Decis. Making, 8: 165-177.

  117. Allahviranloo, T., M. Shafiee and Y. Nejatbakhsh, 2009. A note on “Fuzzy differential equations and the extension principle”. Inform. Sci., 179: 2049-2051.
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  118. Allahviranloo, T., F.H. Lotfi, L. Alizadeh and N. Kiani, 2009. Degeneracy in fuzzy linear programming problems. J. Fuzzy Math., 17: 389-402.

  119. Allahviranloo, T., E. Ahmady and N. Ahmady, 2009. A method for solving nth order fuzzy linear differential equations. Int. J. Comput. Math., 86: 730-742.
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  120. Allahviranloo, T., A. Panahi and H. Rouhparvar, 2009. A copmutational method to find an approximate analytical solution for fuzzy differential equations. Analele Stiintifice ale Universitatii Ovidius Constanta, 17: 5-14.

  121. Allahviranloo, T. and N. Taheri, 2009. An analytic approximation to the solution of fuzzy heat equation by adomian decomposition method. Int. J. Contemp. Math. Sci., 4: 105-114.
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  122. Allahviranloo, T. and L. Jamshidi, 2009. Solution of fuzzy differential equations under generalized differentiability by Adomian decomposition method. Iranian J. Optim., 1: 57-75.
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  123. Panahi, A., T. Allahviranloo and H. Rouhparvar, 2008. Solving fuzzy linear systems of equations. ROMAI J., 4: 207-214.

  124. Allahviranloo, T., S. Khezerloo and M. Mohammadzaki, 2008. Numerical solution for differential inclusion by adomian decomposition method. J. Applied Math., 5: 51-62.
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  125. Allahviranloo, T., N.A. Kiani, M. Barkhordary and M. Mosleh, 2008. Homomorphic solution of fully fuzzy linear systems. Comput. Math. Model., 19: 282-291.
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  126. Allahviranloo, T., N. Mikaeilvand, N.A. Kiani and R.M. Shabestari, 2008. Signed decomposition of fully fuzzy linear systems. Int. J. Applic. Applied Math., 3: 77-88.
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  127. Allahviranloo, T., N. Mikaeilvand, F.H. Lotfi and M.K. Kiasari, 2008. Fully fuzzy linear programming problem with positive or negative core. Far East J. Applied Math., 33: 337-350.

  128. Allahviranloo, T., M. Otadi and M. Mosleh, 2008. Iterative method for fuzzy equations. Soft Comput., 12: 935-939.

  129. Allahviranloo, T., M. Afshar and M. Shafiei, 2008. Revised solution of an overdetermined fuzzy linear system of equations. Int. J. Comput. Cognition, 6: 66-70.

  130. Allahviranloo, T., F.H. Lotfi, M.K. Kiasary, N.A. Kiani and L. Alizadeh, 2008. Solving fully fuzzy linear programming problem by the ranking function. Applied Math. Sci., 2: 19-32.

  131. Allahviranloo, T., E. Ahmady and N. Ahmady, 2008. "Erratum to ‘‘Numerical solution of fuzzy differential equations by predictor-corrector method”[Inform. Sci. 177 (7) (2007) 1633–1647]. Inform. Sci., 178: 1780-1782.

  132. Allahviranloo, T., E. Ahmady and N. Ahmady, 2008. Nth-order fuzzy linear differential equations. Inform. Sci., 178: 1309-1324.
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  133. Allahviranloo, T. and S. Hashemzehi, 2008. The homotopy pertubation method for fuzzy Fredholm integral equations. J. Applied Math., 5: 1-13.

  134. Allahviranloo, T. and M. Otadi, 2008. Numerical solution of fuzzy integral equations. Applied Math. Sci., 2: 33-46.

  135. Saneifard, R., F.H. Lotfi, T. Allahviranloo and N. Mikaeilvand, 2007. Euclidean ranking DMUs with fuzzy data in DEA. Applied Math. Sci., 1: 2989-2998.

  136. Pasha, E., T. Razzaghnia and T. Allahviranloo, 2007. Fuzzy linear regression models with fuzzy entropy. Applied Math. Sci., 1: 1715-1724.
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  137. Navabakhsh, M., G.R. Jahanshahloo, F.H. Lotfi, T. Allahviranloo, F.R. Balf and H.Z. Rezai, 2007. Finding suitable benchmark for inefficient commercial bank branches, application of DEA. Int. J. Contemp. Math. Sci., 2: 183-193.
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  138. Navabakhsh, M., F.H. Lotfi, T. Allahviranloo, F.R. Balf and H.Z. Rezai, 2007. The outputs estimation and improvement of efficiency on interval data in DEA. Int. J. Contemp. Math. Sci., 2: 195-201.

  139. Lotfi, F.H., T. Allahviranloo, M. Alimardani and N. Kiani, 2007. A new method for complex decision making based on TOPSIS for complex decision making problems with fuzzy data. Applied Math. Sci., 1: 2981-2987.

  140. Lotfi, F.H., G. Jahanshahloo, T. Allahviranloo, E. Noroozi and A.A.H. Lotfi, 2007. Equitable allocation of shared costs on fuzzy environment. Int. Math. Forum, 2: 3199-3210.

  141. Jahanshahloo, G.R., F.H. Lotfi, M.A. Firozja and T. Allahviranloo, 2007. Ranking DMUs with fuzzy data in DEA. Int. J. Contemp. Math. Sci., 2: 203-211.
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  142. Allahviranloo, T., N. Ahmady and E. Ahmady, 2007. Numerical solution of fuzzy differential equations by predictor-corrector method. Inform. Sci., 177: 1633-1647.
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  143. Allahviranloo, T., K. Shamsolkotabi, N.A. Kiani and L. Alizadeh, 2007. Fuzzy integer linear programmin problem. Int. J. Contemp. Math. Sci., 2: 167-181.

  144. Allahviranloo, T., F.H. Lotfi and M.A. Firozja, 2007. Fuzzy efficiency measure with fuzzy production possibility set. Applic. Applied Math.: Int. J., 2: 152-166.
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  145. Allahviranloo, T. and M.A. Firouzja, 2007. Note on "Trapezoidal approximation of fuzzy numbers". J. Fuzzy Sets Syst., 158: 755-756.

  146. Allahviranloo, T. and M. Afshar, 2007. Cramer's rule for fuzzy system of linear equations. J. Nonlinear Stud., 14: 381-387.

  147. Allahviranloo, T., N. Ahmady and E. Ahmady, 2006. Two step method for fuzzy differential equations. Int. Math. Forum, 1: 823-832.

  148. Allahviranloo, T., E. Ahmady, N. Ahmady and K.S. Alketaby, 2006. Block Jacobi two-stage method with Gauss-Sidel inner iterations for fuzzy system of linear equations. Applied Math. Comput., 175: 1217-1228.
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  149. Allahviranloo, T. and N. Mikaeilvand, 2006. Positive solutions of fully fuzzy linear systems. J. Applied Math., 3: 1-11.
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  150. Allahviranloo, T. and M. Otadi, 2006. Gaussian quadratures for approximate of fuzzy multiple integrals. Applied Math. Comput., 172: 175-187.
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  151. Allahviranloo, T. and M. Afshar, 2006. Solution of fuzzy system of linear equations. J. Applied Math. Comput., 175: 519-531.

  152. Abbasbandy, S. and T. Allahviranloo, 2006. The Adomian decomposition method applied to the fuzzy system of Fredholm integral equations of the second kind. Int. J. Uncertainty Fuzziness Knowl.-Based Syst., 14: 101-110.
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  153. Daneshian, B., G.R. Jahanshahloo, F.H. Lotfi, T. Allahviranloo and S. Mehrabian, 2005. The overall assurance interval for the non-archimedean epsilon in DEA models. Math. Comput. Applic., 10: 387-393.
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  154. Allahviranloo, T., 2005. The Adomian decomposition for fuzzy system of linear equations. J. Applied Math. Comput., 163: 553-563.

  155. Allahviranloo, T., 2005. Successive over relaxation iterative method for fuzzy system of linear equations. J. Applied Math. Comput., 162: 189-196.

  156. Allahviranloo, T., 2005. Romberg Integration for fuzzy functions. Applied Math. Comput., 168: 866-876.

  157. Allahviranloo, T., 2005. Newton Cot's methods for integration of fuzzy functions. Applied Math. Comput., 166: 339-348.

  158. Allahviranloo, T. and T. Hajari, 2005. Numerical methods for approximation of fuzzy surfaces. Applied Math. Comput., 169: 16-33.

  159. Allahviranloo, T. and M. Otadi, 2005. Gaussian quadratures for approximate of fuzzy integrals. Applied Math. Comput., 170: 874-885.
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  160. Allahviranloo, T., 2004. Numerical methods for fuzzy system of linear equations. J. Applied Math. Comput., 155: 493-502.

  161. Abbasbandy, S., T.A. Viranloo, O. Lopez-Pouso and J.J. Nieto, 2004. Numerical methods forfuzzy differential inclusions. Comput. Math. Applic., 48: 1633-1641.
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  162. Abbasbandy, S. and T. Allahviranloo, 2004. Extrapolation methods for improving solution of fuzzy differential equations. Math. Comput. Applic., 9: 205-214.

  163. Abbasbandy, S. and T. Allah Viranloo, 2004. Numerical solution of fuzzy differential equation by Runge-Kutta method. Nonlinear Stud., 11: 117-129.
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  164. Kurt, S., E.M. Soylu and S. Soylu, 2003. First report of downy leaf spot of walnuts caused by Microstroma juglandis in Turkey. Plant Pathol., 52: 409-409.

  165. Allahviranloo, T., 2003. On the iterative method for fuzzy system of linear equations. Int. Math. J., 4: 43-52.

  166. Allahviranloo, T., 2003. A comment on fuzzy linear systems. Fuzzy Sets Syst., 140: 559-559.

  167. Allahviranloo, T., 2002. Difference methods for fuzzy partial differential equations. Comput. Methods Applied Math., 2: 233-242.
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  168. Abbasbandy, S. and T.A. Viranloo, 2002. Numerical solutions of fuzzy differential equations by Taylor method. Comput. Methods Applied Math., 2: 113-124.
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  169. Abbasbandy, S. and T.A. Viranloo, 2002. Numerical solution of fuzzy differential equation. Math. Comput. Applic., 7: 41-52.

  170. Abbasbandy, S. and T.A. Viranlou, 2001. Numerical solution of fuzzy differential equation by Runge-Kutta method of order 2. J. Sci. (Islamic Azad Univ.), 11: 3176-3188.
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