New optimality conditions for multiobjective fuzzy programming problems

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

doi:10.22111/ijfs.2020.5345

New optimality conditions for multiobjective fuzzy programming problems

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

7 Scopus citations

Abstract

In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.

Original language	English
Pages (from-to)	19-31
Number of pages	13
Journal	Iranian Journal of Fuzzy Systems
Volume	17
Issue number	3
DOIs	https://doi.org/10.22111/ijfs.2020.5345
State	Published - 1 May 2020

Keywords

Fuzzy generalized convexity
Generalized differentiable fuzzy functions
Multiobjective fuzzy optimization

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10.22111/ijfs.2020.5345

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abstract = "In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.",

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AU - Hernández-Jiménez, B.

AU - Chalco-Cano, Y.

AU - Ruiz-Garzón, G.

PY - 2020/5/1

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N2 - In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.

AB - In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.

KW - Fuzzy generalized convexity

KW - Generalized differentiable fuzzy functions

KW - Multiobjective fuzzy optimization

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New optimality conditions for multiobjective fuzzy programming problems

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Keywords

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