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A solution for systems of linear fuzzy equations in spite of the non-existence of a field of fuzzy numbers. (English) Zbl 1077.03033
It is well known that the fuzzy numbers, if combined with the usual fuzzy arithmetic, do not form a field due to the fact that the concept of inverse of a fuzzy number does not exist. Despite the lack of inverses, the authors propose a method to find an approximate solution of a system of linear fuzzy equations, making also a comparison with a method of J. J. Buckley and Y. Qu [Fuzzy Sets Syst. 43, No. 1, 33–43 (1991; Zbl 0741.65023)].
MSC:
03E72Fuzzy set theory
15A06Linear equations (linear algebra)
65F05Direct methods for linear systems and matrix inversion (numerical linear algebra)