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Fuzzy cumulative entropy and its estimation based on fuzzy random variables

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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… Click to show full 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.

Keywords: random variables; cumulative entropy; fuzzy cumulative; fuzzy random; entropy; based fuzzy

Journal Title: International Journal of Systems Science
Year Published: 2021

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