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Relationships between fuzzy approximation spaces and their uncertainty measures
Information Sciences ( IF 5.524 ) Pub Date : 2020-04-08 , DOI: 10.1016/j.ins.2020.04.008
Guangji Yu

Fuzzy approximation spaces (FA-spaces) can be seen as approximation spaces (A-spaces) in a fuzzy environment. This article studies relationships between FA-spaces and their uncertainty measures. Dependence, partial dependence and independence between FA-spaces, as characterized by the inclusion degree, are first proposed. Then, the distance between FA-spaces is considered in terms of the angle of difference. Next, algebraic, map and lattice features of FA-spaces are obtained. Finally, the uncertainty of FA-spaces is measured by using the dependence between them, an application is given, and to assess the performance of the presented measures, two examples are used to perform effectiveness analysis by means of elementary statistical methods.
更新日期:2020-04-21

 

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