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.
Bibliographical noteFunding Information:
The authors wish to thank the referees for several valuable suggestions which have considerably improved the presentation of the paper.
This research is supported by the King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, under the Internal Project No. IN161058.
© 2018, The Author(s).
- Duality results
- Exponential membership function
- Fuzzy optimization
- Mangasarian dual
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics