Title: Fuzzy reliability appraisal of a system using probabilistic dual hesitant fuzzy element emphasising score function

Authors: Deepak Kumar; S.B. Singh; Pawan Kumar

Addresses: Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India ' Department of Mathematics, Government Degree College, Bhikiyasen, Almora, India

Abstract: Present paper introduces a new technique for analysing fuzzy reliability of a system under probabilistic fuzzy environment, where the reliability of a component/unit of a system is represented by probabilistic dual hesitant fuzzy element for handling uncertainty like hesitancy in real life situation. With the help of the proposed approach, in this study, we have evaluated the fuzzy reliability of some complex systems having series, parallel and bridge configurations using score function and deviation degree. Additionally, a numerical example is taken for better demonstration of the proposed technique.

Keywords: fuzzy reliability; probabilistic dual hesitant fuzzy element; bridge configuration; score function; deviation function.

DOI: 10.1504/IJMOR.2022.120315

International Journal of Mathematics in Operational Research, 2022 Vol.21 No.1, pp.67 - 82

Received: 15 Apr 2020
Accepted: 19 Sep 2020
Published online: 14 Jan 2022 *

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