Algorithm for Solving Max-product Fuzzy Relational Equations

Authors:
Ketty Peeva;Yordan Kyosev
Affiliations:
Technical University of Sofia, Faculty of Applied Mathematics and Informatics, P. O. Box 384, 1000, Sofia, Bulgaria and RWTH Aachen, Institut fuer Textiltechnik, Eilfschornsteinstr. 18, 52062, Aac ...;Technical University of Sofia, Department of Textile Engineering, P. O. Box 384, Bul. Kliment Ohridski 8, 1797, Sofia, Bulgaria
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2007

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Abstract

Analytical methods are proposed for solving fuzzy linear system of equations when the composition is max-product. These methods provide universal algorithm for computing the greatest solution and the set of all minimal solutions, when the system is consistent. In case of inconsistency, the equations that can not be satisfied are obtained.