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

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.

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Bibliographic Details
Published inFuzzy optimization and decision making Vol. 15; no. 1; pp. 57 - 73
Main Authors Chalco-Cano, Y., Lodwick, W. A., Osuna-Gómez, R., Rufián-Lizana, A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2016
Springer Nature B.V
Subjects
Artificial Intelligence
Calculus of Variations and Optimal Control; Optimization
Decision making
Fuzzy
Fuzzy logic
Fuzzy sets
Mathematical analysis
Mathematical Logic and Foundations
Mathematical programming
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Probability Theory and Stochastic Processes
Studies
KKT conditions
Generalized Hukuhara differentiability
Fuzzy optimization
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Summary: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.
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ISSN:1568-4539
1573-2908
DOI:10.1007/s10700-015-9213-9