Some remarks on optimality conditions for fuzzy optimization problems

A. Rufián-Lizana; R. Osuna-Gómez; Y. Chalco-Cano; H. Román-Flores

Some remarks on optimality conditions for fuzzy optimization problems

A. Rufián-Lizana
, R. Osuna-Gómez
, Y. Chalco-Cano
, H. Román-Flores

Department of Mathematics

University of Seville
Universidad de Tarapacá

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

1 Scopus citations

Abstract

In this article we present a new concept of stationary point for gH-differentiable fuzzy functions which generalize previous concepts that exist in the literature. Also, we give a concept of generalized convexity for gH-differentiable fuzzy functions more useful than level-wise generalized convexity (generalized convexity of the endpoint functions). Then we give optimatily conditions for fuzzy optimization problems.

Original language	English
Pages (from-to)	189-194
Number of pages	6
Journal	Investigacion Operacional
Volume	38
Issue number	2
State	Published - 2017

Keywords

Fuzzy optimization
GH-differentiable function
Stationary point

Cite this

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title = "Some remarks on optimality conditions for fuzzy optimization problems",

abstract = "In this article we present a new concept of stationary point for gH-differentiable fuzzy functions which generalize previous concepts that exist in the literature. Also, we give a concept of generalized convexity for gH-differentiable fuzzy functions more useful than level-wise generalized convexity (generalized convexity of the endpoint functions). Then we give optimatily conditions for fuzzy optimization problems.",

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T1 - Some remarks on optimality conditions for fuzzy optimization problems

AU - Rufián-Lizana, A.

AU - Osuna-Gómez, R.

AU - Chalco-Cano, Y.

AU - Román-Flores, H.

PY - 2017

Y1 - 2017

N2 - In this article we present a new concept of stationary point for gH-differentiable fuzzy functions which generalize previous concepts that exist in the literature. Also, we give a concept of generalized convexity for gH-differentiable fuzzy functions more useful than level-wise generalized convexity (generalized convexity of the endpoint functions). Then we give optimatily conditions for fuzzy optimization problems.

AB - In this article we present a new concept of stationary point for gH-differentiable fuzzy functions which generalize previous concepts that exist in the literature. Also, we give a concept of generalized convexity for gH-differentiable fuzzy functions more useful than level-wise generalized convexity (generalized convexity of the endpoint functions). Then we give optimatily conditions for fuzzy optimization problems.

KW - Fuzzy optimization

KW - GH-differentiable function

KW - Stationary point

UR - https://www.scopus.com/pages/publications/85017151807

M3 - Article

AN - SCOPUS:85017151807

SN - 0257-4306

VL - 38

SP - 189

EP - 194

JO - Investigacion Operacional

JF - Investigacion Operacional

IS - 2

ER -

Some remarks on optimality conditions for fuzzy optimization problems

Abstract

Keywords

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