Ranking Fuzzy Random Variables Based on New Fuzzy Stochastic Orders

摘要

The stochastic ordering of random variables is extended to the cases where the available data are imprecise quantities, rather than crisp. To do this, using some elements of fuzzy set theory, we suggest the fuzzy reversed hazard rate and fuzzy mean inactivity time functions and apply them to construct some new fuzzy stochastic orders for ranking fuzzy random variables. In addition, we study the relations between the proposed fuzzy stochastic orders.