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A new definition of independence of uncertain sets

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Abstract

Uncertain sets are an effective tool to describe unsharp concepts like “young”, “tall” and “most”. As a key concept in uncertain set theory, the independence was first defined in the paper (Liu in Fuzzy Optim Decis Mak 11(4):387–410, 2012b). However, the definition is somewhat weak to deal with uncertain sets completely. In order to overcome this disadvantage, this paper presents a stronger definition of independence of uncertain sets and discusses its mathematical properties.

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Acknowledgments

This work was supported by National Natural Science Foundation of China Grant No. 61273044.

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Authors and Affiliations

  1. Uncertainty Theory Laboratory, Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Baoding Liu

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  1. Baoding Liu
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Correspondence to Baoding Liu.

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Liu, B. A new definition of independence of uncertain sets. Fuzzy Optim Decis Making 12, 451–461 (2013). https://doi.org/10.1007/s10700-013-9164-y

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