Title
A non-linear fuzzy regression for estimating reliability in a degradation process
Abstract
Since some assumptions such as the function @f(.) needs to be completely specified and the relationship between @m and @f(s) must have linear behavior in the model @m=a+b@f(S) used in the accelerated life testing analysis, generally do not hold; the estimation of stress level contains uncertainty. In this paper, we propose to use a non-linear fuzzy regression model for performing the extrapolation process and adapting the fuzzy probability theory to the classical reliability including uncertainty and process experience for obtaining fuzzy reliability of a component. Results show, that the proposed model has the ability to estimate reliability when the mentioned assumptions are violated and uncertainty is implicit; so that the classical models are unreliable.
Year
DOI
Venue
2014
10.1016/j.asoc.2013.11.019
Appl. Soft Comput.
Keywords
Field
DocType
classical model,degradation process,accelerated life testing analysis,classical reliability,process experience,fuzzy probability theory,linear behavior,fuzzy reliability,extrapolation process,non-linear fuzzy regression model,fuzzy numbers,accelerated life testing,reliability engineering
Mathematical optimization,Nonlinear system,Defuzzification,Fuzzy logic,Accelerated life testing,Extrapolation,Fuzzy regression,Fuzzy number,Degradation process,Mathematics
Journal
Volume
ISSN
Citations 
16,
1568-4946
6
PageRank 
References 
Authors
0.51
9
5