Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 29, Issue 3, Pages 539-548Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2019.2956668
Keywords
Fuzzy numbers (FNs); fuzzy simulation; alpha-cuts
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This article proposes a method for generating fuzzy random variables based on alpha-cuts and uniform random numbers. It proves a form of alpha-invariance for a class of fuzzy numbers (FNs) and provides exact equations for random variable generators for some well-known singleton-core FNs. Applications to univariate/bivariate FNs, two optimization inventory models are discussed in the obtained results.
A method for fuzzy random variable generation based on alpha-cuts and uniform random numbers is proposed in this article. A form of alpha-invariance is proven for a class of fuzzy numbers (FNs) and exact equations for random variable generators of some well-known singleton-core FNs are provided. Applications to univariate/bivariate FNs, two optimization inventory models, and a discussion of the obtained results are provided.
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