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Quadratic entropy of uncertain sets

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Abstract

Uncertain set is a set-valued function on an uncertainty space, and attempts to model unsharp concepts. Firstly, a definition of quadratic entropy to characterize the uncertainty of uncertain sets resulting from information deficiency is proposed. Secondly, some properties of quadratic entropy for uncertain sets are given, and the relation between quadratic entropy and Liu’s entropy of uncertain sets is discussed. Finally, a quadratic cross entropy for uncertain sets is investigated.

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Authors and Affiliations

  1. College of Science, Hebei University of Engineering, Handan, 056038, China

    Xiaosheng Wang

  2. College of Economics and Management, Hebei University of Engineering, Handan, 056038, China

    Minghu Ha

Authors
  1. Xiaosheng Wang
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  2. Minghu Ha
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Correspondence to Minghu Ha.

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Wang, X., Ha, M. Quadratic entropy of uncertain sets. Fuzzy Optim Decis Making 12, 99–109 (2013). https://doi.org/10.1007/s10700-012-9140-y

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  • DOI: https://doi.org/10.1007/s10700-012-9140-y

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