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

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

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...

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Bibliographic Details
Main Authors: S. K. Gupta, D. Dangar, I. Ahmad, S. Al-Homidan
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of Inequalities and Applications
Subjects:
Fuzzy optimization
Duality results
Exponential membership function
Mangasarian dual
Online Access:http://link.springer.com/article/10.1186/s13660-018-1812-x
Description
Summary: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.
ISSN:1029-242X

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