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• W2798082153 abstract "In the presented article, we define the R-norm entropy and the conditional R-norm entropy of partitions of a given fuzzy probability space and study the properties of the suggested entropy measures. In addition, we introduce the concept of R-norm divergence of fuzzy P-measures and we derive fundamental properties of this quantity. Specifically, it is shown that the Shannon entropy and the conditional Shannon entropy of fuzzy partitions can be derived from the R-norm entropy and conditional R-norm entropy of fuzzy partitions, respectively, as the limiting cases for R going to 1; the Kullback–Leibler divergence of fuzzy P-measures may be inferred from the R-norm divergence of fuzzy P-measures as the limiting case for R going to 1. We also provide numerical examples that illustrate the results." @default.
• W2798082153 created "2018-04-24" @default.
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• W2798082153 date "2018-04-11" @default.
• W2798082153 modified "2023-09-26" @default.
• W2798082153 title "R-Norm Entropy and R-Norm Divergence in Fuzzy Probability Spaces" @default.
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• W2798082153 doi "https://doi.org/10.3390/e20040272" @default.
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