Title: System reliability analysis based on Pythagorean fuzzy set

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

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, D.S.B. Campus, Kumaun University, Nainital, India

Abstract: Generally, fuzzy sets and intuitionistic fuzzy sets are utilised to examine the system reliability, however, in this work the concept of intuitionistic fuzzy set (IFS) is extended in the form of Pythagorean fuzzy set (PFS). The current research is focused on the study of the reliability indices of some systems under the fuzzy environment using a Pythagorean fuzzy exponential distribution. Expressions for fuzzy hazard function, fuzzy reliability, fuzzy mean time to failure and their η-cut set along with the sensitivity have been determined when the considered systems follow the aforesaid distribution. At the end, numerical illustrations have been discussed to appraise the reliability characteristics of the systems using the proposed environment. This approach is very useful in various application areas like information measures, decision making, and aggregation operators.

Keywords: Pythagorean fuzzy set; mean time to failure; hazard function; exponential distribution; fuzzy reliability.

DOI: 10.1504/IJMOR.2023.129440

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.2, pp.253 - 285

Received: 24 Sep 2021
Accepted: 24 Dec 2021
Published online: 09 Mar 2023 *

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