Fuzzy universal generating functions for multi-state system reliability assessment

doi:10.1016/j.fss.2007.06.004

Fuzzy Sets and Systems

Volume 159, Issue 3, 1 February 2008, Pages 307-324

https://doi.org/10.1016/j.fss.2007.06.004 Get rights and content

Abstract

The paper considers a multi-state system (MSS) where performance rates or/and corresponding state probabilities are presented as fuzzy values. In many real world MSSs it is difficult to estimate precise values of performance rates and their probabilities because of two main reasons. The first reason is inaccuracy and insufficiency of data. The second one is based on the fact that MSSs are often used as the approximation for continuous-state systems in order to simplify computational burden. To overcome these deficiencies, performance rates (levels) or/and corresponding probabilities are considered as fuzzy values in this paper. The fuzzy universal generating function (FUGF) is developed to extend the universal generating function with crisp sets. The composition operators are extended for FUGFs and introduced in more general forms. Based on this a special technique for reliability assessment of such MSSs is developed. Illustrative examples are presented to demonstrate the technique.

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Fuzzy universal generating functions for multi-state system reliability assessment

Abstract

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

IEEE Trans. Reliability

Reliability Eng. System Safety

Reliability Eng. System Safety

Fuzzy Sets and Systems

Fuzzy Sets and Systems

European J. Oper. Res.

Fuzzy Sets and Systems

Reliability Eng. System Safety

Coherent systems with multi-state elements

Math. Oper. Res.

Introduction to Fuzzy Reliability

Fuzzy variables as a basis for a theory of fuzzy reliability in the possibility context

Fuzzy Sets and Systems

Fuzzy reliability modeling of gracefully degradable computing systems

Reliability Eng. System Safety

Posbist reliability behavior of fault-tolerant systems

Microelectron. Reliability

Fuzzy Sets and Systems: Theory and Applications

Probabilistic Reliability Engineering

Multi-state consecutive-k-out-of-n systems

IIE Trans.