A non-linear fuzzy regression for estimating reliability in a degradation process

Authors:
David S. Gonzalez-Gonzalez;Rolando J. Praga Alejo;Mario Cantú-Sifuentes;Luis M. Torres-Treviño;Gerardo M. Méndez
Affiliations:
-;-;-;-;-
Venue:
Applied Soft Computing
Year:
2014

Citing 14
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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.