Otadi, M., Mosleh, M. (2015). Minimal solution of fuzzy linear systems. Iranian Journal of Fuzzy Systems, 12(1), 89-99. doi: 10.22111/ijfs.2015.1863

M. Otadi; M. Mosleh. "Minimal solution of fuzzy linear systems". Iranian Journal of Fuzzy Systems, 12, 1, 2015, 89-99. doi: 10.22111/ijfs.2015.1863

Otadi, M., Mosleh, M. (2015). 'Minimal solution of fuzzy linear systems', Iranian Journal of Fuzzy Systems, 12(1), pp. 89-99. doi: 10.22111/ijfs.2015.1863

Otadi, M., Mosleh, M. Minimal solution of fuzzy linear systems. Iranian Journal of Fuzzy Systems, 2015; 12(1): 89-99. doi: 10.22111/ijfs.2015.1863

^{}Department of Mathematics, Firoozkooh Branch, Islamic Azad Univer- sity, Firoozkooh, Iran

Abstract

In this paper, we use parametric form of fuzzy number and we convert a fuzzy linear system to two linear system in crisp case. Conditions for the existence of a minimal solution to $mtimes n$ fuzzy linear equation systems are derived and a numerical procedure for calculating the minimal solution is designed. Numerical examples are presented to illustrate the proposed method.

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