Title :
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
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;
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
DOI :
10.1109/IS.2008.4670410
