Volume 07,Issue 02

A Novel Reliability Calculation Method Based on Fuzzy Universal Generating Function

Authors

Huiying Gao, Xiaoqiang Zhang, Xiaoqiang Yang, Bo Zheng, Xin Ma

Abstract
The universal generating function (UGF) can be used for reliability calculation where the system variables are discrete random variables. In some cases, the possible values of the variables are not crisp values, which may be fuzzy. This paper regards the possible values of the system variables and the corresponding probability as triangular fuzzy numbers (TFNs), a fuzzy reliability method based on fuzzy universal generating function (FUGF) is proposed. The proposed method can deal with fuzzy reliability issues. A case study is presented to illustrate the proposed method. Through the comparison between the required reliability and the calculated value, whether the design scheme is feasible can be determined.

Keyword: Universal generating function, Reliability, Fuzzy, Multi-state system, Uncertainties.

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