Fuzzy reliability:Type II censoring test without replacement

Author

Amirzadeh, R. ; Parchami, A. ; Mashinchi, M.

Author_Institution

Mashad Branch, Islamic Azad Univ. Mashad Branch, Mashhad

Volume

1

fYear

2008

fDate

6-8 Sept. 2008

Firstpage

25235

Lastpage

27061

Abstract

In this paper, using a family of confidence intervals, we construct a triangular shaped fuzzy number as the estimator for mean lifetime as well as the estimator for reliability function of a component. We derive the explicit and unique membership functions of these fuzzy estimators. Our attention is on the case where the lifetime has an exponential distribution. Numerical examples are given to show the performance of the method.

Keywords

exponential distribution; fuzzy set theory; reliability theory; statistical testing; confidence intervals; exponential distribution; fuzzy estimators; fuzzy reliability; mean lifetime; membership functions; reliability function; triangular shaped fuzzy number; type II censoring test; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Life estimation; Lifetime estimation; Parameter estimation; Random variables; Reliability theory; Statistical analysis; System testing; Exponential distribution; Fuzzy statistics; Mean lifetime; Membership function; Reliability function;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Systems, 2008. IS '08. 4th International IEEE Conference

Conference_Location

Varna

Print_ISBN

978-1-4244-1739-1

Electronic_ISBN

978-1-4244-1740-7

Type

conf

DOI

10.1109/IS.2008.4670410

Filename

4670410