The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings

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SONG F.; Wu Z.Z.

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:5 Page(s): 77-95

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Title

The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings

Author(s)

SONG F. | Wu Z.Z. | Issue Writer Certificate

Keywords

Fuzzy mappingsQ2

triangular fuzzy numberQ2

α−univexQ2

g−differentiabilityQ2

fuzzy optimizationQ2

Abstract

The aim of present paper is to study a constrained programming with generalized α − univex Fuzzy mappings. In this paper we introduce the concepts of α − univex, α − preunivex, pseudo α − univex and α − unicave Fuzzy mappings, and we discover that α − univex Fuzzy mappings are more general than univex Fuzzy mappings. Then, we discuss the relationships of generalized α − univex Fuzzy mappings and get some properties. In the last, we derive necessary and suffcient Karush-Kuhn-Tucker conditions and its dual problems with generalized differentiable α − univex Fuzzy mappings for fuzzy constrained programming problem.

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APA: Copy

SONG, F., & Wu, Z.Z.. (2019). The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(5 ), 77-95. SID. https://sid.ir/paper/113422/en

Vancouver: Copy

SONG F., Wu Z.Z.. The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(5 ):77-95. Available from: https://sid.ir/paper/113422/en

IEEE: Copy

F. SONG, and Z.Z. Wu, “The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 5 , pp. 77–95, 2019, [Online]. Available: https://sid.ir/paper/113422/en

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