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Neutrosophic Goal Geometric Programming Problem and Its Application to Multi-objective Reliability Optimization Model

delete2018-03-29
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T
Tanmay Kundu *
S
Sahidul Islam
DOI:10.1007/s40815-018-0479-2delete
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Abstract

Abstract

En 中文
This paper presents the goal geometric programming method in neutrosophic environment. Neutrosophic set is one of the most useful tools to express uncertainty, impreciseness in a more general way compare to fuzzy set and intuitionistic fuzzy set. Thus, the proposed approach is described here as an extension of fuzzy goal geometric programming and intuitionistic fuzzy goal geometric programming. To demonstrate the methodology and applicability of the proposed approach, a multi-objective nonlinear reliability optimization model is taken here and it is evaluated comparing the result obtained by the proposed method with the solution obtained in intuitionistic fuzzy goal geometric programming technique at the end of this paper.
Keywords:
Goal programming
Geometric programming
Neutrosophic set
Reliability optimization
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Journal

International Journal of Fuzzy Systems cover
International Journal of Fuzzy Systems
IF:
3.6
Papers:
2.2K
Citations:
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K
kalyani university
Scholars:
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Papers: 1.2K
Citations: 1