Quadratic entropy of uncertain sets

Authors:
Xiaosheng Wang;Minghu Ha
Affiliations:
College of Science, Hebei University of Engineering, Handan, China 056038;College of Economics and Management, Hebei University of Engineering, Handan, China 056038
Venue:
Fuzzy Optimization and Decision Making
Year:
2013

Citing 5
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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.