Resolution of fuzzy relational equations - Method, algorithm and software with applications

Authors:
K. Peeva
Affiliations:
Sofia 1000, P.O. Box 384, Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Bulgaria
Venue:
Information Sciences: an International Journal
Year:
2013

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Abstract

Analytical methods and algorithms for inverse problem resolution of fuzzy linear systems of equations in some BL-algebras (Godel algebra in case of max-min and min-max compositions, and Goguen algebra in case of max-product composition) are presented. Algorithms with software realization for solving fuzzy linear systems of equations are proposed. Applications include fuzzy optimization with fuzzy linear systems of equation constraint, fuzzy machines and covering problem.