DocumentCode
478648
Title
Algorithm and software for solving fuzzy relational equations in some BL-algebras
Author
Peeva, Ketty ; Petrov, Dobromir
Author_Institution
Dept. of Algebra & Geometry, Tech. Univ. of Sofia, Sofia
Volume
1
fYear
2008
fDate
6-8 Sept. 2008
Firstpage
23043
Lastpage
24869
Abstract
We study fuzzy linear systems of equations when the composition is infrarr. Algebraic-logical approach and procedures for inverse problem resolution are proposed. They provide algorithm for solving fuzzy linear system of equations in Godel algebra, product (Goguen) algebra and Lukasiewicz algebra: when the system is consistent, its complete solution set is calculated. In case of inconsistency, the equations that can not be satisfied by the minimal solution are obtained.
Keywords
algebra; fuzzy set theory; inverse problems; BL-algebras; Godel algebra; Goguen algebra; Lukasiewicz algebra; algebraic-logical approach; fuzzy linear systems; fuzzy relational equations; inverse problem resolution; product algebra; Algebra; Equations; Fuzzy sets; Fuzzy systems; Intelligent systems; Inverse problems; Linear systems; NP-hard problem; Software algorithms; Software systems; BL-algabra; fuzzy relational equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Systems, 2008. IS '08. 4th International IEEE Conference
Conference_Location
Varna
Print_ISBN
978-1-4244-1739-1
Electronic_ISBN
978-1-4244-1740-7
Type
conf
DOI
10.1109/IS.2008.4670409
Filename
4670409
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