Fuzzy cumulative entropy and its estimation based on fuzzy random variables

Gholamreza Hesamian and Mohamad Ghasem Akbari

International Journal of Systems Science, 2022, vol. 53, issue 5, 982-991

Abstract: The development of a conventional cumulative entropy was reported in this research within a fuzzy domain. For this purpose, the cumulative entropy and its estimators were developed based on fuzzy random variables to explore the predictability of the failure time of a system. Some common properties of the proposed fuzzy cumulative entropy and fuzzy empirical cumulative entropy were also discussed. The developed fuzzy entropies were illustrated via several numerical evaluations.

Date: 2022
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DOI: 10.1080/00207721.2021.1983064

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