WEAK AND STRONG DUALITY THEOREMS FOR FUZZY CONIC OPTIMIZATION PROBLEMS

Document Type : Research Paper

Authors

1 Department of Mathematics, Quchan Institute of Engineering and Technology, Iran,

2 Department of Mathematics, Ferdowsi University of Mashhad, Iran,

Abstract

The objective of this paper is to deal with the fuzzy conic program-
ming problems. The aim here is to derive weak and strong duality theorems
for a general fuzzy conic programming. Toward this end, The convexity-like
concept of fuzzy mappings is introduced and then a speci c ordering cone is
established based on the parameterized representation of fuzzy numbers. Un-
der this setting, duality theorems are extended from crisp conic optimization
problems to fuzzy ones.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 10, Issue 1 - Serial Number 1
January and February 2013
Pages 143-152

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