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A Generalized Intuitionistic Fuzzy Optimization Approach on Entropy Based Multi-Objective Reliability Optimization Model


Affiliations
1 Department of Mathematics, University of Kalyani, West Bengal, India
     

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This paper presents the problem of optimizing the system reliability of a bridge network complex system in intuitionistic fuzzy environment and also consider entropy as an additional objective function besides system reliability. A generalized intuitionistic fuzzy optimization technique is used here to analyze the proposed entropy based reliability optimization model. Also a special type of hyperbolic membership and parabolic non-membership function is considered here for the degree of acceptance and degree of rejection of objectives respectively. Finally, numerical examples are given to illustrate the approach to evaluate the system reliability and entropy of the system.


Keywords

Reliability, Bridge Network, Entropy, Intuitionistic Fuzzy Sets, Intuitionistic Fuzzy Optimization.
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  • A Generalized Intuitionistic Fuzzy Optimization Approach on Entropy Based Multi-Objective Reliability Optimization Model

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Authors

Sahidul Islam
Department of Mathematics, University of Kalyani, West Bengal, India
Tanmay Kundu
Department of Mathematics, University of Kalyani, West Bengal, India

Abstract


This paper presents the problem of optimizing the system reliability of a bridge network complex system in intuitionistic fuzzy environment and also consider entropy as an additional objective function besides system reliability. A generalized intuitionistic fuzzy optimization technique is used here to analyze the proposed entropy based reliability optimization model. Also a special type of hyperbolic membership and parabolic non-membership function is considered here for the degree of acceptance and degree of rejection of objectives respectively. Finally, numerical examples are given to illustrate the approach to evaluate the system reliability and entropy of the system.


Keywords


Reliability, Bridge Network, Entropy, Intuitionistic Fuzzy Sets, Intuitionistic Fuzzy Optimization.

References