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Soft Computing

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19.06.2019 | Methodologies and Application

Some inequalities and limit theorems for fuzzy random variables adopted with \(\alpha \)-values of fuzzy numbers

verfasst von: Gholamreza Hesamian, Mohammad Ghasem Akbari, Vahid Ranjbar

Erschienen in: Soft Computing | Ausgabe 5/2020

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Abstract

In this paper, some essential stochastic inequalities and several convergence theorems were investigated for fuzzy random variables. The classical counterpart relationship between the proposed convergence theorems was also discussed in the fuzzy environment. The main advantage of the proposed method is its minimal requirements for such limit theorems and inequalities compared to the conventional methods used in the fuzzy environments. The previous methods mostly rely on the lower and upper bounds of the \(\alpha \)-cuts of fuzzy random variables, while the proposed method utilizes a unified quantity called \(\alpha \)-value.

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Titel: Some inequalities and limit theorems for fuzzy random variables adopted with -values of fuzzy numbers
verfasst von: Gholamreza Hesamian
Mohammad Ghasem Akbari
Vahid Ranjbar
Publikationsdatum: 19.06.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 5/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-019-04149-2

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