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2021•Fuzzy Sets and SystemsOpen access

Some results on convergence and distributions of fuzzy random variables

Miriam Alonso de la Fuente, Pedro Terán

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Abstract

Versions of several results from the theory of random variables are proved for fuzzy random variables: the Skorokhod representation theorem, the Vitali convergence theorem, the dominated convergence theorem, the continuous mapping theorem, existence of regular conditional distributions, and a few others.

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What this paper is about

Versions of several results from the theory of random variables are proved for fuzzy random variables: the Skorokhod representation theorem, the Vitali convergence theorem, the dominated convergence theorem, the continuous mapping theorem, existence of regular conditional distributions, and a few others.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Versions of several results from the theory of random variables are proved for fuzzy random variables: the Skorokhod representation theorem, the Vitali convergence theorem, the dominated convergence theorem, the continuous mapping theorem, existence of regular conditional distributions, and a few others.

Key concepts: Mathematics, Convergence of random variables, Proofs of convergence of random variables, Dominated convergence theorem, Convergence (economics), Random variable, Weak convergence, Fuzzy logic

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