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

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...

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Vydáno v:	Fuzzy sets and systems Ročník 492; s. 109067
Hlavní autoři:	Wang, Xue-ping, Li, Meng, Shu, Qian-yu
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier B.V 15.09.2024
Témata:	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
ISSN:	0165-0114, 1872-6801
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Shrnutí:	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 minimal solution. We then supply an algorithm for obtaining some minimal solutions starting from a given one and apply minimal solutions to the minimax programming problems for searching optimal solutions. We also provide two algorithms for solving a kind of single variable optimization problems and get the greatest optimal solution. The algorithm for finding some minimal solutions of a given one is also used for searching some minimal optimal solutions.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/j.fss.2024.109067