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Entropy of Capacity

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Non-Additive Measures

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 310))

Abstract

Capacity is a monotone set function and an important class of non-additive measure. In this chapter entropies of capacities are discussed. First, entropies for classical capacities are introduced, then they are generalized for capacities on set systems. Moreover axiomatizations of the entropies are given to characterize them

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Author information

Authors and Affiliations

  1. Kyushu Institute of Technology, 680-4 Kawazu, Iizuka, Fukuoka, 820-8502, Japan

    Aoi Honda

Authors
  1. Aoi Honda
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Editor information

Editors and Affiliations

  1. IIIA-CSIC, Bellaterra, Spain

    Vicenc Torra

  2. Toho Gakuen, Kunitachi, Tokyo, Japan

    Yasuo Narukawa

  3. European Centre for Soft Computing, Mieres, Spain

    Michio Sugeno

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© 2014 Springer International Publishing Switzerland

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Honda, A. (2014). Entropy of Capacity. In: Torra, V., Narukawa, Y., Sugeno, M. (eds) Non-Additive Measures. Studies in Fuzziness and Soft Computing, vol 310. Springer, Cham. https://doi.org/10.1007/978-3-319-03155-2_4

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  • DOI: https://doi.org/10.1007/978-3-319-03155-2_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03154-5

  • Online ISBN: 978-3-319-03155-2

  • eBook Packages: EngineeringEngineering (R0)

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