THE FUZZY DESCRIPTION OF THE BOUNDARY REGION IN ROUGH SETS AND ITS APPLICATIONS

摘要：

In this paper, the boundary region of a rough set in theuniverse U is divided into lower and upper boundaries, and a fuzzy set is defined in the boundary region of the rough set based on the theory of inclusion degree.It can descript the element in boundary region of any rough set more precision; therefore, it can characterize the process which the rough set from vagueness to crisp exactly, and it also shows the nature of the rough set Based on this definition, we redefine the rough membership function by the fuzzy set on the boundary region, and the operation of the intersection and union of any two fuzzy set will be also hold under the new rough membership function.Hence, the deficiency of reference 3,4 is overcome.Finally, the measure of fuzziness of any rough set is discussed by the theory of fuzzy entropy.

关键词： Rough sets Fuzzy sets Inclusion degree Boundary region Rough membership function

作者: BING-ZHEN SUN ZENG-TAI GONG

作者单位: College of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070 Gansu China College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070 Gansu Ch

会议类型: 国际会议

会议名称: 2007 International Conference on Machine Learning and Cybernetics(IEEE第六届机器学习与控制论国际会议)

会议地点: 香港

会议语种:英文

页码: 3648-3652

在线出版日期: 2007-08-19（万方平台首次上网日期，不代表论文的发表时间）