A novel approach for analyzing system reliability using generalized intuitionistic fuzzy Pareto lifetime distribution. (English) Zbl 1513.90062
Summary: The present work concentrates on vagueness in the lifetime parameter and the generalized intuitionistic fuzzy set are extended to reliability characteristics. In order to satisfy this purpose, generalized intuitionistic fuzzy numbers are applied to evaluate the reliability of different systems. The reliability characteristics of systems using Pareto lifetime distribution are investigated where the lifetime scale parameter is assumed to be a generalized intuitionistic fuzzy number. In general, the generalized intuitionistic fuzzy reliability function, generalized intuitionistic fuzzy conditional reliability function, generalized intuitionistic fuzzy hazard function, generalized intuitionistic fuzzy mean time to failure and their cut sets are discussed. The whole mentioned reliability functions are discussed for generalized intuitionistic fuzzy Pareto lifetime systems. Furthermore, reliability analysis of the series and parallel systems are performed and numerical example is illustrated based on the proposed approach.
MSC:
| 90B25 | Reliability, availability, maintenance, inspection in operations research |
| 90C05 | Linear programming |
| 90C70 | Fuzzy and other nonstochastic uncertainty mathematical programming |
| 03E72 | Theory of fuzzy sets, etc. |
Keywords:
generalized intuitionistic fuzzy numbers; \(( \alpha_1,\alpha_2)\)-cut set; generalized intuitionistic fuzzy reliability; generalized intuitionistic fuzzy probability; Pareto distributionReferences:
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