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
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;
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
DOI :
10.1109/IS.2008.4670409
