Open Mathematics (Mar 2019)

Characterizations of the Solution Sets of Generalized Convex Fuzzy Optimization Problem

  • Chen Wang,
  • Zhou Zhiang

DOI
https://doi.org/10.1515/math-2019-0005
Journal volume & issue
Vol. 17, no. 1
pp. 52 – 70

Abstract

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This paper provides some new characterizations of the solution sets for non-differentiable generalized convex fuzzy optimization problem. Firstly, we introduce some new generalized convex fuzzy functions and discuss the relationships among them. Secondly, some properties of these new generalized convex fuzzy functions are given. Finally, as applications, some characterizations of the solution sets for non-differentiable generalized convex fuzzy optimization problem are obtained.

Keywords