Reliability Analysis of Random Fuzzy Unrepairable Systems

Abstract

The lifetimes of components in unrepairable systems are considered as random fuzzy variables since randomness and fuzziness are often merged with each other. Then we establish the fundamental mathematical models of random fuzzy unrepairable systems, including series systems, parallel systems, series-parallel systems, parallel-series systems, and cold standby systems with absolutely reliable conversion switches. Furthermore, the expressions of reliability and mean time to failure (MTTF) are given for the above five random fuzzy unrepairable systems, respectively. Finally, numerical examples are given to show the application in a lighting lamp system and a hi-fi system.

System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set

“…Also showed that extension principle enables decision makers to apply summation operators on intuitionistic fuzzy sets to the summation of generalized hesitant fuzzy sets for decision making problem. Liu et al (2014) evaluated system reliability and discussed randomness and fuzziness of lifetime components of unrepairable systems. They obtained mathematical expressions of a random fuzzy unrepairable system like the series system, parallel system, series-parallel systems, parallelseries systems and cold standby systems using reliable switches.…”

Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System

“…The theory of fuzzy reliability has been developed on the basis of fuzzy set theory. Many research works on the application of fuzzy set theory to problems in reliability or availability of systems were presented in [20][21][22][23], and a systemic review on fuzzy reliability of systems with binary-state was provided by Cai [24].…”