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

Analytical methods and algorithms for inverse problem resolution of fuzzy linear systems of equations in some BL-algebras (Gödel 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...

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Bibliographic Details
Published inInformation sciences Vol. 234; pp. 44 - 63
Main Author Peeva, K.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 10.06.2013
Subjects
Fuzzy relational equations
Inverse problem resolution
Fuzzy relational equations
Inverse problem resolution
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ISSN0020-0255
1872-6291
DOI10.1016/j.ins.2011.04.011

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Summary:Analytical methods and algorithms for inverse problem resolution of fuzzy linear systems of equations in some BL-algebras (Gödel 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.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2011.04.011