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变异粗集与它的过滤特性
引用本文:刘纪芹,陈淑珍,王红雨.变异粗集与它的过滤特性[J].山东工业大学学报,2006,36(2):75-80.
作者姓名:刘纪芹  陈淑珍  王红雨
作者单位:[1]山东大学数学与系统科学学院,山东济南250100 [2]山东财政学院统计与数理学院,山东济南250014 [3]三明学院计算机科学系,福建三明365004
基金项目:福建省自然科学基金(A0410026)
摘    要:利用变异粗集的概念,提出了变异粗集粒度、过滤度的概念,讨论了变异粗集(X_(a),X^-(a))与Z.Pawlak粗集(R_(X),R^-(X))的粒度、过滤度的关系特征,给出了变异粗集粒度、过滤度的单调性定理。本文的讨论是对变异粗集理论的丰富与发展.

关 键 词:变异粗集  变异粗集粒度  变异粗集过滤度
收稿时间:2005-01-05

Variation rough set and its filter characters
LIU Ji-qin, CHEN Shu-zhen, WANG Hong-yu.Variation rough set and its filter characters[J].Journal of Shandong University of Technology,2006,36(2):75-80.
Authors:LIU Ji-qin  CHEN Shu-zhen  WANG Hong-yu
Affiliation:1. School of Mathematics and System Sciences, Shandong University, Jinan 250100, China; 2. Department of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, China; 3. Department of Computer Science, Sanming Institute, Sanming 365004, China
Abstract:By using concept of variation rough set, this paper presents the concepts of granulation degree and filter degree of variation rough set, the granulation characters between variation rough set and Z. Pawlak rough set are discussed . We also analyze the filter characters between variation rough set and Z. Pawlak rough set. In the end, we give the monotonicity theorems of granulation degree and filter degree about variation rough set.
Keywords:variation rough set  granulation degree of variation rough set  filter degree of variation rough set
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