[1] Basaran, M.A., Calculating fuzzy inverse matrix using fuzzy linear equation system, Applied Soft
Computing, Vol. 12, (2012), 1810-1813.
[2] Basiri, B., Faug`ere, J.-C., Changing the ordering of Grbner bases with LLL: case of two variables, In:
Proceedings of ISSAC, ACM Press, New York, (2003), 23-29.
[3] Becker, T., Weispfenning, V., Gr¨obner Bases, Springer-Varlag, New York, 1993.
[4] Buchberger, B., Gr¨obner bases : an algorithmic method in polynomial ideal theory. R. P. Company,
Ed. Bose, 1985.
[5] Buckley, J.J., Qu, Y., Solving systems of linear fuzzy equations, Fuzzy sets and systems, Vol. 43,
(1991), 33-43.
[6] Cen, J., Fuzzy matrix partial orderings and generalized inverses, Fuzzy Systems and Mathematics,
Vol. 105, (1999), 453-458.
[7] Cen, J., On Moore-Penrose Inverses of Fuzzy Matrices, Fuzzy Systems and Mathematics, Vol. 19,
(2005), 66-70.
[8] Chou, S., Gao, X., McPhee, N., A Combination of Ritt-Wu’s Method and Collins’ Method, Technical
report, Austin, Texax, USA, 1989.
[9] Cho, H.H., Regular fuzzy matrices and fuzzy equations, Fuzzy sets and systems, Vol. 105, (1999),
445-451.
[10] Cox, D., J. Little, J., O’Shea, D., Ideal, Varieties, and Algorithms: An introduction to computational
algebra geometry and commutative algebra, third edition, Springer-Varlag, New York, 2007.
[11] Dehghan, M., Hashemi, B., Ghatee, M., Computational methods for solving fully fuzzy linear systems,
Applied Mathematics and Computation, Vol. 179, (2006), 328-343.
[12] Dubois, D., Prade, H., Systems of linear fuzzy constrains, International Journal of Systems Science,
Vol. 9, (1978), 613-626.
[13] Dubois, D., Prade, H., Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York,
1980.
[14] Ebadi, M. J., Suleiman, M., Ismail, F. B., Ahmadian, A., Shahryari, M. R., Salahshour, S., A new distance
measure for trapezoidal fuzzy numbers, Mathematical Problems in Engineering, 2013:424186.
[15] Elias, J., Automated geometric theorem proving:Wu’s method, The Montana Mathematics Enthusiast,
Vol. 3, (2006), 3-50.
[16] Farahani, H., Ebadi, M. J., Jafari, Hossein Finding inverse of a fuzzy matrix using eigenvalue method,
International Journal of Innovative Technology & Exploring Engineering, Vol. 9, No. 2, (2019), 3030-
3037.
[17] Farahani, H., Mishmast Nehi, H., Paripour, M., Solving fuzzy complex system of linear equations
using eigenvalue method, Journal of Intelligent & Fuzzy Systems, Vol. 31, (2016), 1689-1699.
[18] Faug`ere, J.-C., A new efficient algorithm for computing Gr¨obner bases (F4), Journal of Pure and
Applied Algebra, Vol. 139, (1999), 61-88.
[19] Faug`ere, J.-C., A new efficient algorithm for computing Gr¨obner bases without reduction to zero (
F5), Proceedings of ISSACS, T. Mora, Ed., ACM Press, 2002.
[20] Gao, X., Hou, X., Tang, J., Cheng, H., Complete solution classification for the perspective-three-point
problem, IEEE Trans. Pattern Anal. Mach. Intell., Vol. 25, (2003), 930-943.
[21] Gao, S., Guan, Y., Volny IV, F., A new incremental algorithm for computing Gr¨obner bases, Proceedings
of the 2010 International Symposium on Symbolic and Algebraic Computation, ISSAC’10,
ACM, (2010), 13-19.
[22] Gao, S., Volny IV, F., Wang, M., A new framework for computing Gr¨obner bases), Mathematics of
Computation, Vol. 85, (2016), 449-465.
[23] Hashimoto, H., Subinverses of fuzzy matrices, Fuzzy sets and systems, Vol. 12, (1984), 155-168.
[24] Ismail, H.N., Morsi, N.N., Fuzzy rank of a fuzzy matrix, Fuzzy sets and systems, Vol. 41, (1991),
243-249.
[25] Jafari, H., Malinowski, M.T., Ebadi, M.J., Fuzzy stochastic differential equations driven by fractional
Brownian motion, Advances in Difference Equations, 2021, 16 (2021).
[26] Jafari, H., Ebadi, M.J., Malliavin calculus in statistical inference: Cramer-Rao lower bound for fuzzy
random variables, Journal of Decisions and Operations Research , Vol. 5, No. 2, (2020), 124-132,
[27] Jamali, N., Sadegheih, A., Lotfi, M.M., Wood, Lincoln C., Ebadi, M.J., Estimating the Depth of
Anesthesia During the Induction by a Novel Adaptive Neuro-Fuzzy Inference System: A Case Study,
Neural Processing Letters, Vol. 53, (2020), 131-175.
[28] Jin, M., Li, X., Wang, D., A new algorithmic scheme for computing characteristic sets, Journal of
Symbolic Computation, Vol. 50, (2013), 431-449.
[29] Kim, K.H., Roush, F.W., Generalized Fuzzy matrices, Fuzzy sets and systems, Vol. 4, (1980), 293-315.
[30] Mosleh, M, Otadi, M., A discussion on ”Calculating fuzzy inverse matrix using fuzzy linear equation
system”, Applied Soft Computing, Vol. 28, (2015), 511-513.
[31] Pang, C.T., Simultaneously controllable fuzzy matrices, Computers and Mathematics with Applications,
Vol. 50, (2005), 1647-1658.
[32] Thomasan, M.G., Convergence of powers of fuzzy matrix, Journal of Mathematical Analysis and
Applications, Vol. 57, (1977), 476-480.
[33] Zadeh, L.A., Fuzzy sets as a basis of possibility theory, Fuzzy Sets and Systems, Vol. 1, (1978), 3-28.
[34] Wen-Tsun, W., Basic principles of mechanical theorem proving in geometrics, Journal of Systems
Sciences and Mathematical Sciences, Vol. 4, (1984), 207-235.
[35] Wen-Tsun, W. On the decision problem and the mechanization of theorem-proving in elementary
geometry, Contemporary Mathematics, Vol. 29, (1984), 213-234.
[36] Wen-Tsun, W. Mathematics Mechanization: Mechanical Geometry Theorem-Proving, Mechanical
Geometry Problem-Solving and Polynomial Equations-Solving, Mathematics and Its Applications,
Beijing b Science Press, London, 2001.
[37] Wen-Tsun,W., Gao, X. Automated reasoning and equation solving with the characteristic set method.,
Journal of Computer Science and Technology, Vol. 21, No. 5, (2006), 756-764.
[38] Wen-Tsun, W., Gao, X. Mathematics mechanization and applications after thirty years, Frontiers of
Computer Science in China, Vol. 1, No. 1, (2007), 1-8.
[39] Zuzeng, P., Yunyu, S., Fuzzy Mathematics and Its Applications. . Wuhan University Press, Wuhan,
2002.