New algorithms for solving fuzzy relation equations

Authors:
Leh Luoh;Wen-June Wang;Yi-Ke Liaw
Affiliations:
Department of Electrical Engineering, Nation Central University, Chung-Li 320, Taiwan, ROC;Department of Electrical Engineering, Nation Central University, Chung-Li 320, Taiwan, ROC;Department of Electrical Engineering, Nation Central University, Chung-Li 320, Taiwan, ROC
Venue:
Mathematics and Computers in Simulation
Year:
2002

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Abstract

A new algorithm is proposed to solve the fuzzy relation equation P Q = R with max-min composition and max-product composition. The algorithm operates systematically and graphically on a matrix pattern to get all the solutions of P. An example is given to illustrate its effectiveness.