The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems

Y. Chalco-Cano; W. A. Lodwick; R. Osuna-Gómez; A. Rufián-Lizana

doi:10.1007/s10700-015-9213-9

The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems

Y. Chalco-Cano
, W. A. Lodwick
, R. Osuna-Gómez
, A. Rufián-Lizana

Department of Mathematics

University of Colorado Boulder
University of Seville

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

48 Scopus citations

Abstract

This paper considers optimization problems with fuzzy-valued objective functions. For this class of fuzzy optimization problems we obtain Karush–Kuhn–Tucker type optimality conditions considering the concept of generalized Hukuhara differentiable and pseudo-invex fuzzy-valued functions.

Original language	English
Pages (from-to)	57-73
Number of pages	17
Journal	Fuzzy Optimization and Decision Making
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/s10700-015-9213-9
State	Published - 1 Mar 2016

Keywords

Fuzzy optimization
Generalized Hukuhara differentiability
KKT conditions

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10.1007/s10700-015-9213-9

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title = "The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems",

abstract = "This paper considers optimization problems with fuzzy-valued objective functions. For this class of fuzzy optimization problems we obtain Karush–Kuhn–Tucker type optimality conditions considering the concept of generalized Hukuhara differentiable and pseudo-invex fuzzy-valued functions.",

keywords = "Fuzzy optimization, Generalized Hukuhara differentiability, KKT conditions",

author = "Y. Chalco-Cano and Lodwick, \{W. A.\} and R. Osuna-G{\'o}mez and A. Rufi{\'a}n-Lizana",

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AU - Osuna-Gómez, R.

AU - Rufián-Lizana, A.

PY - 2016/3/1

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N2 - This paper considers optimization problems with fuzzy-valued objective functions. For this class of fuzzy optimization problems we obtain Karush–Kuhn–Tucker type optimality conditions considering the concept of generalized Hukuhara differentiable and pseudo-invex fuzzy-valued functions.

AB - This paper considers optimization problems with fuzzy-valued objective functions. For this class of fuzzy optimization problems we obtain Karush–Kuhn–Tucker type optimality conditions considering the concept of generalized Hukuhara differentiable and pseudo-invex fuzzy-valued functions.

KW - Fuzzy optimization

KW - Generalized Hukuhara differentiability

KW - KKT conditions

UR - https://www.scopus.com/pages/publications/84958750254

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The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems

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Keywords

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