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Mathematical Methods in the Applied Sciences
Article . 2018 . Peer-reviewed
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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https://dx.doi.org/10.1002/mma...
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Nondominated solutions in a fully fuzzy linear programming problem

descriptionPublicationkeyboard_double_arrow_right Article 14 May 2018 English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 41, pages 7,421-7,430 (issn: 0170-4214, eissn: 1099-1476, Copyright policy )
Authors: M. Arana‐Jiménez;

doi: 10.1002/mma.4882

Nondominated solutions in a fully fuzzy linear programming problem

Abstract

In this work, a new method is presented for locating fuzzy optimal (nondominated) solutions of a fully fuzzy linear programming problem with inequality constraints and triangular fuzzy numbers, not necessarily symmetric, without ranking functions, by means of solving a multiobjective linear problem. An equivalence is proved between the set of nondominated solutions of the fully fuzzy linear programming problem and the set of weakly efficient solutions of the considered and related multiobjective linear problem. An algorithm is provided to generate nondominated solutions of a fully fuzzy linear programming problem, as well as an example to illustrate it.

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Keywords

fully fuzzy linear programming problem, multiobjective optimization, Fuzzy and other nonstochastic uncertainty mathematical programming, fuzzy numbers, Theory of fuzzy sets, etc., Multi-objective and goal programming

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
26
Top 10%
Top 10%
Top 10%
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