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Fuzzy analytic hierarchy process to a structure under 2-out-of-3:F modeling

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Abstract

The lack of consistency in reliability modeling under human failure can lead to inconsistent conclusions. However, fuzzy logic allows an address to the ambiguity in reliability modeling. The Analytic Hierarchy Process (AHP) is one of the comprehensively used multi-criteria decision making methods. This paper reveals the application of fuzzy AHP in a structure consisting of a 2-out-of-3:F substructure under human failure. In reliability engineering, failure is a major concern for system design, planning and operations and it is imperative to focus more on system failures. The novelty of this paper is that the major failure rates of the system are selected and the weight of each failure rate is calculated after constructing a pair wise comparison matrix. The fuzzy reliability index is then evaluated with the help of the linguistic variables considered by experts in the form of performance ratings of different reliability indexes, and then the reliability is measured using multi-criteria decision making technique. The contribution of the paper is the ranking of failure rates which shows the relative importance of each failure rate and how it affects the overall system reliability to decide on a desirable action plan.

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Authors and Affiliations

  1. Department of Mathematics, Graphic Era University, Dehradun, India

    Ritu Chandna & Mangey Ram

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  1. Ritu Chandna
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  2. Mangey Ram
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Correspondence to Mangey Ram.

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Chandna, R., Ram, M. Fuzzy analytic hierarchy process to a structure under 2-out-of-3:F modeling. OPSEARCH 53, 693–704 (2016). https://doi.org/10.1007/s12597-016-0255-8

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