Different optimum notions for fuzzy functions and optimality conditions associated

R. Osuna-Gómez; B. Hernández-Jiménez; Y. Chalco-Cano; G. Ruiz-Garzón

doi:10.1007/s10700-017-9269-9

Different optimum notions for fuzzy functions and optimality conditions associated

R. Osuna-Gómez
, B. Hernández-Jiménez
, Y. Chalco-Cano
, G. Ruiz-Garzón

Department of Mathematics

University of Seville
Universidad Pablo de Olavide
University of Cádiz

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Fuzzy numbers have been applied on decision and optimization problems in uncertain or imprecise environments. In these problems, the necessity to define optimal notions for decision-maker’s preferences as well as to prove necessary and sufficient optimality conditions for these optima are essential steps in the resolution process of the problem. The theoretical developments are illustrated and motivated with several numerical examples.

Original language	English
Pages (from-to)	177-193
Number of pages	17
Journal	Fuzzy Optimization and Decision Making
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s10700-017-9269-9
State	Published - 1 Jun 2018

Keywords

Crisp order relation
Differentiable fuzzy mappings
Fuzzy numbers
Fuzzy optimization
Interval order relation
Stationary fuzzy point

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10.1007/s10700-017-9269-9

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AU - Hernández-Jiménez, B.

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AU - Ruiz-Garzón, G.

PY - 2018/6/1

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N2 - Fuzzy numbers have been applied on decision and optimization problems in uncertain or imprecise environments. In these problems, the necessity to define optimal notions for decision-maker’s preferences as well as to prove necessary and sufficient optimality conditions for these optima are essential steps in the resolution process of the problem. The theoretical developments are illustrated and motivated with several numerical examples.

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KW - Crisp order relation

KW - Differentiable fuzzy mappings

KW - Fuzzy numbers

KW - Fuzzy optimization

KW - Interval order relation

KW - Stationary fuzzy point

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ER -

Different optimum notions for fuzzy functions and optimality conditions associated

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Keywords

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