Abstract
In this paper, we propose a generalized interval type-2 fuzzy random variable based algorithm under mean chance value at risk criterion. First, we introduce the interval type-2 fuzzy random variable and then we propose a scalar expected value of the interval type-2 fuzzy random variables. Also the new concepts of mean chance value at risk and mean chance conditional value at risk are discussed. An application to the inverse 1-median location problem on tree network with uncertain costs proves that this algorithm solves this problem in O(n2logn) time.
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