Duality theorems in fuzzy optimization problems

H. Mishmast Nehi () and A. Drayab
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H. Mishmast Nehi: University of Sistan and Baluchestan
A. Drayab: University of Sistan and Baluchestan

Fuzzy Information and Engineering, 2013, vol. 5, issue 1, 87-98

Abstract: Abstract Several duality formulation and theorems, and relationship between them in fuzzy programming problems have been studied in literature by various authors under different conditions. In this paper, by considering a partial order relation on the set of fuzzy numbers, and convexity with differentiability of fuzzy mappings, we discuss duality theorems and relationships between them in fuzzy optimization problems with fuzzy coefficients.

Keywords: Comparable fuzzy mapping; Convex fuzzy mapping; Differentiable fuzzy mapping; Fuzzy Lagrange mapping; Saddle point; Duality theorems (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s12543-013-0130-8

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