Representation of multigranularity fuzzy rough sets and corresponding belief structure

doi:10.3778/j.issn.1002-8331.1605-0256

Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (19): 51-54.DOI: 10.3778/j.issn.1002-8331.1605-0256

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Representation of multigranularity fuzzy rough sets and corresponding belief structure

HU Qian, MI Jusheng

College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China

Online:2017-10-01 Published:2017-10-13

多粒度模糊粗糙集的表示与相应的信任结构

胡谦，米据生

河北师范大学数学与信息科学学院，石家庄 050024

Abstract

Abstract: By using the upper and lower approximations and the properties of the multi-granularity rough sets, and combining with fuzzy sets decomposition theorem, the representation and properties of upper and lower approximations of multi-granularity fuzzy rough sets are studied. Based on the upper and lower approximations of fuzzy rough sets, the belief function and the probability function are constructed.

Key words: multigranularity, rough set, fuzzy set, belief function, probability function

摘要： 利用多粒度粗糙集的上、下近似及其性质，结合模糊集的分解定理，研究多粒度模糊粗糙集的上、下近似的表示及性质，根据多粒度模糊粗糙集的上、下近似构造信任函数与似然函数。

关键词: 多粒度, 粗糙集, 模糊集, 信任函数, 似然函数

HU Qian, MI Jusheng. Representation of multigranularity fuzzy rough sets and corresponding belief structure[J]. Computer Engineering and Applications, 2017, 53(19): 51-54.

胡谦，米据生. 多粒度模糊粗糙集的表示与相应的信任结构[J]. 计算机工程与应用, 2017, 53(19): 51-54.

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Representation of multigranularity fuzzy rough sets and corresponding belief structure

多粒度模糊粗糙集的表示与相应的信任结构

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