Analyzing system reliability using conflicting bifuzzy failure rates of the components

Abstract

Since uncertainty and ambiguity are common in real-world problems, numerous methods based on different kinds of fuzzy sets have been widely used in the evaluation of system reliability over the years. However, these methods are unable to deal with conflict uncertainty, particularly when it comes to the uncertain failure rates of the system's components. This paper introduces the idea of the triangular conflicting bifuzzy set (TCBFS), which is a novel paradigm for dealing with conflicting uncertainty. A novel method is devised to determine the membership and non-membership functions for the system's reliability when subsystems/components exhibit conflicting bifuzzy failure rates. In order to generate the membership and non-membership functions for various system configurations, including series, parallel, series-parallel, and parallel-series systems, non-linear programming is used to derive a number of functions based on conflicting bifuzzy numbers. The validity of the suggested method in modeling and evaluating system reliability with different conflicting bifuzzy failure rates is demonstrated through illustrated scenarios. This novel approach improves the precision and resilience of reliability estimations for systems by providing a more precise representation of uncertainties.