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- W2906193039 abstract "The aim of the paper is to extend the results concerning the Shannon entropy and Kullback–Leibler divergence in product MV-algebras to the case of R-norm entropy and R-norm divergence. We define the R-norm entropy of finite partitions in product MV-algebras and its conditional version and derive the basic properties of these entropy measures. In addition, we introduce the concept of R-norm divergence in product MV-algebras and we prove basic properties of this quantity. In particular, it is proven that the Kullback–Leibler divergence and Shannon’s entropy of partitions in a given product MV-algebra can be obtained as the limits of their R-norm divergence and R-norm entropy, respectively." @default.
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- W2906193039 date "2018-12-26" @default.
- W2906193039 modified "2023-10-14" @default.
- W2906193039 title "R-norm entropy and R-norm divergence in product MV-algebras" @default.
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- W2906193039 doi "https://doi.org/10.1007/s00500-018-03695-5" @default.
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