Optimization of linear objective function under max-product fuzzy relational constraint

Authors:
Ketty Peeva;Zlatko Zahariev;Ivajlo Atanasov
Affiliations:
Technical University of Sofia, Fac. Appl. Math. and Informat., Sofia, Bulgaria;Technical University of Sofia, Fac. Appl. Math. and Informat., Sofia, Bulgaria;Technical University of Sofia, Fac. Appl. Math. and Informat., Sofia, Bulgaria
Venue:
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
Year:
2008

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Abstract

This paper presents optimization problem with a linear objective function subject to constraint - fuzzy linear system of equations or fuzzy linear system of inequalities, with max-product composition. Methods that provide algorithm for computing the maximum solution and all minimal solutions, when the fuzzy linear system is consistent, are developed for constraint resolution. A software is developed in MATLAB and Java.