Title: Systems reliability assessment using hesitant fuzzy set

Authors: Akshay Kumar; S.B. Singh; Mangey Ram

Addresses: Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India ' Department of Mathematics, Graphic Era University, Dehradun, India

Abstract: The present study deals with fuzzy reliability evaluation series, parallel and linear (circular) consecutive k-out-of-n: F systems. Fuzzy reliability of series, parallel systems have been evaluated to help of hesitant fuzzy sets and triangular fuzzy number, whereas fuzzy reliability of linear (circular) consecutive k-out-of-n: F systems have been determined with the help of application of Weibull distribution and Markov process in comporting hesitant fuzzy sets and triangular fuzzy number. Numerical examples are also provided to demonstrate the effectiveness of the proposed approach.

Keywords: series system; parallel system; Weibull distribution; linear (circular) (k, n: F) system; hesitant fuzzy set; hesitant fuzzy weighted averaging operator.

DOI: 10.1504/IJOR.2020.106357

International Journal of Operational Research, 2020 Vol.38 No.1, pp.1 - 18

Received: 17 Jan 2017
Accepted: 29 May 2017
Published online: 03 Apr 2020 *

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