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

3 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

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

Cite this

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title = "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 the paper.",

keywords = "Duality results, Exponential membership function, Fuzzy optimization, Mangasarian dual",

author = "Gupta, \{S. K.\} and D. Dangar and I. Ahmad and S. Al-Homidan",

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year = "2018",

doi = "10.1186/s13660-018-1812-x",

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AU - Dangar, D.

AU - Ahmad, I.

AU - Al-Homidan, S.

PY - 2018

Y1 - 2018

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AB - 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.

KW - Duality results

KW - Exponential membership function

KW - Fuzzy optimization

KW - Mangasarian dual

UR - https://www.scopus.com/pages/publications/85051950249

U2 - 10.1186/s13660-018-1812-x

DO - 10.1186/s13660-018-1812-x

M3 - Article

AN - SCOPUS:85051950249

SN - 1025-5834

VL - 2018

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 218

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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