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

Departamento de Matemática

University of Seville
Universidad Pablo de Olavide
University of Cádiz

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

7 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	19-31
Número de páginas	13
Publicación	Iranian Journal of Fuzzy Systems
Volumen	17
N.º	3
DOI	https://doi.org/10.22111/ijfs.2020.5345
Estado	Publicada - 1 may. 2020

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title = "New optimality conditions for multiobjective fuzzy programming problems",

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 - Osuna-Gómez, R.

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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