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Abstract and Applied Analysis
Volume 2015, Article ID 164795, 5 pages
http://dx.doi.org/10.1155/2015/164795
Research Article

Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable

Department of Mathematics, Anna University, BIT Campus, Tiruchirappalli 620024, India

Received 4 March 2015; Accepted 23 June 2015

Academic Editor: Józef Banaś

Copyright © 2015 S. Ramasubramanian and P. Mahendran. 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.

Abstract

-metric is used to find the distance between triangular fuzzy numbers. The mean and variance of a fuzzy random variable are also determined by this concept. The hazard rate is estimated and its relationship with mean residual life ordering of fuzzy random variable is investigated. Additionally, we have focused on deriving bivariate characterization of hazard rate ordering which explicitly involves pairwise interchange of two fuzzy random variables and .