Fuzzy symmetric solutions of fuzzy matrix equations

Authors:
Xiaobin Guo;Dequan Shang
Affiliations:
College of Mathematics and Information Science, Northwest Normal University, Lanzhou, China;Department of Public Courses, Gansu College of Chinese Medicine, Lanzhou, China
Venue:
Advances in Fuzzy Systems
Year:
2012

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Abstract

The fuzzy symmetric solution of fuzzy matrix equation AX = B, in which A is a crisp m×m nonsingular matrix and B is an m×n fuzzy numbers matrix with nonzero spreads, is investigated. The fuzzy matrix equation is converted to a fuzzy system of linear equations according to the Kronecker product of matrices. From solving the fuzzy linear system, three types of fuzzy symmetric solutions of the fuzzy matrix equation are derived. Finally, two examples are given to illustrate the proposed method.