Fuzzy reliability framework under hesitant and dual hesitant fuzzy sets to air conditioning system

Aayushi Chachra (), Mangey Ram () and Akshay Kumar ()
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Aayushi Chachra: Graphic Era Deemed to be University
Mangey Ram: Graphic Era Deemed to be University
Akshay Kumar: Graphic Era Hill University

OPSEARCH, 2024, vol. 61, issue 2, No 5, 603-627

Abstract: Abstract The utmost need of any system is that it should be reliable, thus, making reliability one of the most crucial aspects of engineering. There are numerous methods for calculating a system's reliability, such as the Markov technique and fault tree analysis, however, they fail to take the fuzziness of the data due to impreciseness or insufficiency of data into consideration. This particular work considers the case of a summer air-conditioner for reliability assessment with the help of hesitant and dual hesitant fuzzy sets. The universal generating function technique is used to assess the system's reliability function and each fuzzy variable is characterized using a triangular fuzzy number and follows the Weibull distribution. Mean time to failure is also evaluated to achieve a better perspective on the system using both hesitant and dual hesitant fuzzy sets are validated with the help of numerical examples. Moreover, the aggregation or averaging operators for both hesitant and dual hesitant fuzzy sets are also applied to get a better overview of the fuzzy reliability. Finally, the attained results of hesitant fuzzy sets are also depicted graphically for better understanding.

Keywords: Fuzzy reliability; Hesitant fuzzy sets (HFS); Dual hesitant fuzzy sets (DHFS); Hesitant fuzzy reliability; Dual hesitant fuzzy reliability (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s12597-023-00711-7

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