Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables

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Bibliographische Detailangaben
Zeitschriftentitel:	Mathematics
Personen und Körperschaften:	Wu
In:	Mathematics, 7, 2019, 7, S. 569
Format:	E-Article
Sprache:	Englisch
veröffentlicht:	MDPI AG
Schlagwörter:	General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous)

Details
Zusammenfassung:	<jats:p>The numerical method for solving the fuzzy linear programming problems with fuzzydecision variables is proposed in this paper. The difficulty for solving this kind of problem is thatthe decision variables are assumed to be nonnegative fuzzy numbers instead of nonnegative realnumbers. In other words, the decision variables are assumed to be membership functions. One of thepurposes of this paper is to derive the analytic formula of error estimation regarding the approximateoptimal solution. On the other hand, the existence of optimal solutions is also studied in this paper.Finally we present two numerical examples to demonstrate the usefulness of the numerical method.</jats:p>
Umfang:	569
ISSN:	2227-7390
DOI:	10.3390/math7070569