According to [8,12,13,23], the optimization models with a linear objective function subject to fuzzy relation equations is decidable. Algorithms are developed to solve it. In this paper, a complementary problem for the original problem is defined. Due to the structure of the feasible domain and nature of the objective function, individual variable is restricted to become bi-valued. We propose a procedure for separating the decision variables into basic and nonbasic variables. An algorithm is proposed to determine the optimal solution. Two examples are considered to explain the procedure. © Springer-Verlag 2004.
CITATION STYLE
Pandey, D. (2004). On the optimization of fuzzy relation equations with continuous t-norm and with linear objective function. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3285, 41–51. https://doi.org/10.1007/978-3-540-30176-9_6
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