Matrix-pattern-based computer algorithm for solving fuzzy relation equations

Authors:
Leh Luoh;W. -J. Wang;Yi-Ke Liaw
Affiliations:
Chung Shan Inst. of Sci. & Technol., Lungtan, Taiwan;-;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2003

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Abstract

This paper proposes a new computer algorithm to solve the fuzzy relation equation P&ogr;Q=R, where &ogr; denotes max-min composition or max-product composition. This algorithm operates systematically and graphically on a matrix pattern to get all the solutions of P. Furthermore, by using MATLAB software 6.0, the algorithm is implemented in a computer program attached in the appendix of this paper. Two examples are given to illustrate the effectiveness of the proposed algorithm.