Table of Contents
International Journal of Quality, Statistics, and Reliability
Volume 2012, Article ID 870984, 7 pages
Research Article

Study on Posbist Systems

1Department of Mathematics, Ravenshaw University, Cuttack-753003, Odisha, India
2Department of Mathematics and Statistics, IISER Kolkata, Mohanpur Campus, Mohanpur 741252, India
3Vice-Chancellor, Aliah University, DN-41, Sector-V, Salt Lake City, Kolkata-700091, West Bengal, India

Received 30 May 2012; Accepted 24 October 2012

Academic Editor: Suk Joo Bae

Copyright © 2012 Subarna Bhattacharjee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The probability theory, in general, with the help of the dichotomous state develops the theory of reliability. Recently, the fuzzy reliability has been developed based on the concept of possibility distribution and fuzzy-state assumption. In this paper, we derive the possibility distribution function and discuss the properties of a -out-of- () system based on the assumption of the possibility theory and keeping the dichotomous state of the system unchanged when the lifetime distribution is either normal, Cauchy, or exponential. A few results contrary to the conventional reliability theory are obtained.