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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10690
Title: The weakest t-norm based intuitionistic fuzzy fault-tree analysis to evaluate system reliability
Authors: Kumar M.
Yadav, Shiv Prasad
Published in: ISA Transactions
Abstract: In this paper, a new approach of intuitionistic fuzzy fault-tree analysis is proposed to evaluate system reliability and to find the most critical system component that affects the system reliability. Here weakest t-norm based intuitionistic fuzzy fault tree analysis is presented to calculate fault interval of system components from integrating expert's knowledge and experience in terms of providing the possibility of failure of bottom events. It applies fault-tree analysis, α-cut of intuitionistic fuzzy set and T ω (the weakest t-norm) based arithmetic operations on triangular intuitionistic fuzzy sets to obtain fault interval and reliability interval of the system. This paper also modifies Tanaka et al.'s fuzzy fault-tree definition. In numerical verification, a malfunction of weapon system "automatic gun" is presented as a numerical example. The result of the proposed method is compared with the listing approaches of reliability analysis methods. © 2012 ISA. Published by Elsevier Ltd. All rights reserved.
Citation: ISA Transactions (2012), 51(4): 531-538
URI: https://doi.org/10.1016/j.isatra.2012.01.004
http://repository.iitr.ac.in/handle/123456789/10690
Issue Date: 2012
Publisher: ISA - Instrumentation, Systems, and Automation Society
Keywords: Intuitionistic fuzzy fault-tree analysis
Reliability analysis
Triangular intuitionistic fuzzy sets
Weakest t-norm
ISSN: 190578
Author Scopus IDs: 55456371100
57209022284
Author Affiliations: Kumar, M., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Yadav, S.P., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Corresponding Author: Kumar, M.; Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India; email: msharmadma.iitr@gmail.com
Appears in Collections:Journal Publications [MA]

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