Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions

• Published in: Fuzzy sets and systems Vol. 492; p. 109067
• Main Authors: Wang, Xue-ping, Li, Meng, Shu, Qian-yu
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.09.2024
• Subjects: Addition-Łukasiewicz composition; Fuzzy relational inequality; Minimal solution; Minimax programming problem; Optimal solution; Minimax programming problem; Fuzzy relational inequality; Minimal solution; Addition-Łukasiewicz composition; Optimal solution

This article focuses on minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities. We first establish two necessary and sufficient conditions for a solution of the fuzzy relational inequalities being a minimal one and explore the existence condition of the unique min...