Research on Rough Entropy of Interval Set Include Order Rough Set

6th Annual 2018 International Conference on Geo-Spatial Knowledge and Intelligence

Wang, Qinghai^1 ; Liu, Zhen^2

Department of Computer Science, Qinghai Normal University, Xining, Qinghai

810008, China^1

DNagasaki Institute of Applied Science, Nagasaki

851-0193, Japan^2

关键词: Entropy measure;    Granular size;    Inclusion relation;    Incomplete system;    Rough entropy;    Structure and properties;    Uncertainty measures;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/234/1/012049/pdf
DOI  :  10.1088/1755-1315/234/1/012049

来源: IOP

【 摘 要 】

In view of the characteristics that information incomplete system is difficult to be accurately expressed and described, based on the structure of interval containing ordered rough sets, this paper first gives the concept of granularity and roughness of interval rough sets through the inclusion relation between Boolean algebras. Then the roughness concept of interval set is defined, the structure and property of the measure satisfied are researched.By defining the element measure formula of interval set and the entropy measure of interval set, the rough entropy concept is further introduced in the rough interval set, and the theorem and conclusion satisfied by this measure are researched.For the measurement of roughness and roughness entropy of interval set rough set. For the measurement of roughness and roughness entropy of interval set rough set, the conclusion is that the uncertainty measure monotonically decreases as the granular size of interval set rough set becomes smaller,and finally the verification is carried out by a example.