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

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 pape...

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Detalles Bibliográficos
Autores principales: Gupta, S. K., Dangar, D., Ahmad, I., Al-Homidan, S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105221/
https://www.ncbi.nlm.nih.gov/pubmed/30839576
http://dx.doi.org/10.1186/s13660-018-1812-x
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author Gupta, S. K.
Dangar, D.
Ahmad, I.
Al-Homidan, S.
author_facet Gupta, S. K.
Dangar, D.
Ahmad, I.
Al-Homidan, S.
author_sort Gupta, S. K.
collection PubMed
description 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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spelling pubmed-61052212018-08-30 Duality in nonlinear programming problems under fuzzy environment with exponential membership functions Gupta, S. K. Dangar, D. Ahmad, I. Al-Homidan, S. J Inequal Appl Research 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. Springer International Publishing 2018-08-22 2018 /pmc/articles/PMC6105221/ /pubmed/30839576 http://dx.doi.org/10.1186/s13660-018-1812-x Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Gupta, S. K.
Dangar, D.
Ahmad, I.
Al-Homidan, S.
Duality in nonlinear programming problems under fuzzy environment with exponential membership functions
title 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_short 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
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105221/
https://www.ncbi.nlm.nih.gov/pubmed/30839576
http://dx.doi.org/10.1186/s13660-018-1812-x
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AT ahmadi dualityinnonlinearprogrammingproblemsunderfuzzyenvironmentwithexponentialmembershipfunctions
AT alhomidans dualityinnonlinearprogrammingproblemsunderfuzzyenvironmentwithexponentialmembershipfunctions

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