A novel approach for modeling system reliability characteristics in an imprecise environment

In this paper, we introduce and investigate a new definition for the density function of fuzzy random variables. Then, based on this definition, we give a new viewpoint on aging properties. To do this end, the concepts of the hazard rate function and mean residual function are investigated for the Exponential fuzzy random variable. Also, we obtain  the aging properties of  new Exponential fuzzy random variables based on existing methods.  Finally, using a practical example, we illustrate the proposed approach and show that  the performance of proposed  approach is better than two other existing  methods.

Keywords:

Exponential lifetime , fuzzy parameter , survival function , Hazard rate function , mean residual life function