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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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
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spelling doaj-623a50626f7945d1a304ab8e1d890e6d2020-11-24T21:51:18ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-08-012018111010.1186/s13660-018-1812-xDuality in nonlinear programming problems under fuzzy environment with exponential membership functionsS. K. Gupta0D. Dangar1I. Ahmad2S. Al-Homidan3Department of Mathematics, Indian Institute of TechnologyDepartment of Mathematics, Marwari CollegeDepartment of Mathematics and Statistics, King Fahd University of Petroleum and MineralsDepartment of Mathematics and Statistics, King Fahd University of Petroleum and MineralsAbstract 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.http://link.springer.com/article/10.1186/s13660-018-1812-xFuzzy optimizationDuality resultsExponential membership functionMangasarian dual
collection DOAJ
language English
format Article
sources DOAJ
author S. K. Gupta
D. Dangar
I. Ahmad
S. Al-Homidan
spellingShingle S. K. Gupta
D. Dangar
I. Ahmad
S. Al-Homidan
Duality in nonlinear programming problems under fuzzy environment with exponential membership functions
Journal of Inequalities and Applications
Fuzzy optimization
Duality results
Exponential membership function
Mangasarian dual
author_facet S. K. Gupta
D. Dangar
I. Ahmad
S. Al-Homidan
author_sort S. K. Gupta
title Duality in nonlinear programming problems under fuzzy environment with exponential membership functions
title_short Duality in nonlinear programming problems under fuzzy environment with exponential membership functions
title_full Duality in nonlinear programming problems under fuzzy environment with exponential membership functions
title_fullStr Duality in nonlinear programming problems under fuzzy environment with exponential membership functions
title_full_unstemmed Duality in nonlinear programming problems under fuzzy environment with exponential membership functions
title_sort duality in nonlinear programming problems under fuzzy environment with exponential membership functions
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2018-08-01
description 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.
topic Fuzzy optimization
Duality results
Exponential membership function
Mangasarian dual
url http://link.springer.com/article/10.1186/s13660-018-1812-x
work_keys_str_mv AT skgupta dualityinnonlinearprogrammingproblemsunderfuzzyenvironmentwithexponentialmembershipfunctions
AT ddangar dualityinnonlinearprogrammingproblemsunderfuzzyenvironmentwithexponentialmembershipfunctions
AT iahmad dualityinnonlinearprogrammingproblemsunderfuzzyenvironmentwithexponentialmembershipfunctions
AT salhomidan dualityinnonlinearprogrammingproblemsunderfuzzyenvironmentwithexponentialmembershipfunctions
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