Fuzzy reliability using a discrete stress-strength interference model

Author

Wang, J.D. ; Liu, T.S.

Author_Institution

Dept. of Mech. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan

Volume

45

Issue

1

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

145

Lastpage

149

Abstract

This paper uses a fuzzy line-segment method to calculate the fuzzy unreliability of a system when only discrete-interval probabilities of stress and strength inside an interference region are available. The discrete-interval probabilities are treated as fuzzy numbers. A stress-strength interference model and extended operations of fuzzy numbers are used to calculate the fuzzy unreliability. Probability density functions are approximated by piecewise fuzzy line-segments that are expressed by linear fuzzy polynomials; the centroid of the membership function for the fuzzy unreliability is treated as the point estimate of unreliability. This method requires less computer time than previous methods in the literature, and is useful since it does not require information on distribution types of stress and strength. Numerical examples demonstrate the method

Keywords

engineering computing; fuzzy set theory; microcomputer applications; piecewise polynomial techniques; probability; reliability theory; computer time; discrete stress-strength interference model; discrete-interval probabilities; fuzzy line-segment method; fuzzy numbers; fuzzy unreliability; interference region; linear fuzzy polynomials; membership function centroid; piecewise fuzzy line-segments; probability density functions; Distributed computing; Equations; Failure analysis; Fuzzy systems; Interference; Parametric statistics; Polynomials; Probability density function; Strain measurement; Stress;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.488933

Filename

488933