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

S. K. Gupta; D. Dangar; I. Ahmad; S. Al-Homidan

doi:10.1186/s13660-018-1812-x

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

S. K. Gupta^*, D. Dangar, I. Ahmad, S. Al-Homidan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	218
Journal	Journal of Inequalities and Applications
Volume	2018
DOIs	https://doi.org/10.1186/s13660-018-1812-x
State	Published - 2018

Bibliographical note

Funding Information:
The authors wish to thank the referees for several valuable suggestions which have considerably improved the presentation of the paper.

Funding Information:
This research is supported by the King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, under the Internal Project No. IN161058.

Publisher Copyright:
© 2018, The Author(s).

Keywords

Duality results
Exponential membership function
Fuzzy optimization
Mangasarian dual

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-018-1812-x

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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.",

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note = "Funding Information: The authors wish to thank the referees for several valuable suggestions which have considerably improved the presentation of the paper. Funding Information: This research is supported by the King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, under the Internal Project No. IN161058. Publisher Copyright: {\textcopyright} 2018, The Author(s).",

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KW - Duality results

KW - Exponential membership function

KW - Fuzzy optimization

KW - Mangasarian dual

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ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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