Minimizing a linear objective function under a fuzzy max- t norm relation equation constraint

• Published in: Information sciences Vol. 181; no. 4; pp. 832 - 841
• Main Author: Shieh, Bih-Sheue
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.02.2011
• Subjects: Availability; Branch-and-bound method; Covering problem; Decomposition; Feasibility; Fuzzy; Fuzzy decision making; Fuzzy logic; Fuzzy relation equations; Fuzzy set theory; Linear optimization; Mathematical analysis; Max- t composition; Max-product composition; Max–min composition; Norms; Optimization; Fuzzy relation equations; Fuzzy logic; Branch-and-bound method; Max–min composition; Covering problem; Fuzzy decision making; Max- t composition; Linear optimization; Max-product composition
• ISSN: 0020-0255
• DOI: 10.1016/j.ins.2010.10.024

The work examines the feasibility of minimizing a linear objective function subject to a max- t fuzzy relation equation constraint, where t is a continuous/Archimedean t-norm. Conventional methods for solving this problem are significantly improved by, first separating the problem into two sub-probl...