An algorithm for minimizing a linear objective function subject to the fuzzy relation inequalities with addition–min composition

In this paper, we study the optimal solution of minimizing a linear objective function subject to the fuzzy relation inequalities with addition–min composition. We first discuss some properties about the minimal solutions of fuzzy relation inequalities with addition–min composition, and define the p...

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Vydané v:	Fuzzy sets and systems Ročník 255; s. 41 - 51
Hlavný autor:	Yang, Shao-Jun
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier B.V 16.11.2014
Predmet:	Fuzzy relation inequalities Pseudo-minimal index The minimal solutions The optimal solution The optimization system Pseudo-minimal index The minimal solutions The optimal solution The optimization system Fuzzy relation inequalities
ISSN:	0165-0114, 1872-6801
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Shrnutí:	In this paper, we study the optimal solution of minimizing a linear objective function subject to the fuzzy relation inequalities with addition–min composition. We first discuss some properties about the minimal solutions of fuzzy relation inequalities with addition–min composition, and define the pseudo-minimal indexes of this system. Next we give an algorithm to get the set of the pseudo-minimal indexes, which is called PMI algorithm. Finally, we obtain an algorithm for this optimization system by utilizing these concepts and results. The example is provided to show that our algorithm is simple and convenient.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/j.fss.2014.04.007