A generalized interval type-2 fuzzy random variable based algorithm under mean chance value at risk criterion for inverse 1-median location problems on tree networks with uncertain costs
A generalized interval type-2 fuzzy random variable based algorithm under mean chance value at risk criterion for inverse 1-median location problems on tree networks with uncertain costs
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(n(2) log n) time. (C)& nbsp;2022 Elsevier B.V. All rights reserved.
Key words
Location problem/Inverse 1-median location problem/Type-2 fuzzy set theory/Fuzzy random/Value at risk/Conditional value at risk/SIMILARITY MEASURES/EXPECTED VALUE/SETS/SYSTEMS/MODEL
NSTL
Elsevier