Duality in nonlinear programming problems under fuzzy environment with exponential membership functions

J Inequal Appl. 2018;2018(1):218. doi: 10.1186/s13660-018-1812-x. Epub 2018 Aug 22.

Abstract

In this paper, we have established appropriate duality relations for a general nonlinear optimization problem under fuzzy environment, taking exponential membership functions and using the aspiration level approach. A numerical example has also been shown to justify the results presented in the paper.

Keywords: Duality results; Exponential membership function; Fuzzy optimization; Mangasarian dual.