Role of Distance Metric in Goal Geometric Programming Problem (G^2 P^2) Under Imprecise Environment

The objective of this article is to tie a knot between distance measure and fuzzy and intuitionistic fuzzy optimization through goal programming. Firstly, a distance measure for an intuitionistic fuzzy number is developed, and then it is implemented into an intuitionistic fuzzy nonlinear goal progra...

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Veröffentlicht in:International journal of fuzzy system applications Jg. 8; H. 1; S. 65 - 82
Hauptverfasser: Roy, Tapan Kumar, Ghosh, Payel
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hershey IGI Global 01.01.2019
Schlagworte:
Comparative studies
Design optimization
Fuzzy sets
Fuzzy systems
Goal programming
Linear programming
Mathematical programming
Germany
India
ISSN:2156-177X, 2156-1761
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Abstract The objective of this article is to tie a knot between distance measure and fuzzy and intuitionistic fuzzy optimization through goal programming. Firstly, a distance measure for an intuitionistic fuzzy number is developed, and then it is implemented into an intuitionistic fuzzy nonlinear goal programming. Then using some conditions, the distance measure of intuitionistic fuzzy number is converted into distance measure of fuzzy number and a comparative study using a numerical example is shown for highest applicability of distance measure based intuitionistic fuzzy goal programming than distance measure based fuzzy goal programming.
AbstractList The objective of this article is to tie a knot between distance measure and fuzzy and intuitionistic fuzzy optimization through goal programming. Firstly, a distance measure for an intuitionistic fuzzy number is developed, and then it is implemented into an intuitionistic fuzzy nonlinear goal programming. Then using some conditions, the distance measure of intuitionistic fuzzy number is converted into distance measure of fuzzy number and a comparative study using a numerical example is shown for highest applicability of distance measure based intuitionistic fuzzy goal programming than distance measure based fuzzy goal programming.
Audience Academic
Author Ghosh, Payel
Roy, Tapan Kumar
AuthorAffiliation IIEST, Shibpur, Howrah, India
Raidighi College, West Bengal, India
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  surname: Ghosh
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10.1016/S0165-0114(86)80034-3
10.1007/978-3-642-40712-3
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10.1016/j.fss.2003.08.005
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10.1142/S0218488508005406
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10.1007/978-3-642-10712-2
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Snippet The objective of this article is to tie a knot between distance measure and fuzzy and intuitionistic fuzzy optimization through goal programming. Firstly, a...
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SubjectTerms Comparative studies
Design optimization
Fuzzy sets
Fuzzy systems
Goal programming
Linear programming
Mathematical programming
Title Role of Distance Metric in Goal Geometric Programming Problem (G^2 P^2) Under Imprecise Environment
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