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测量粗糙集中模糊性的一种新方法

何亚群 胡寿松 魏崇辉

南京航空航天大学学报(英文版)2004,Vol.21Issue(1):31-35,5.
南京航空航天大学学报(英文版)2004,Vol.21Issue(1):31-35,5.

测量粗糙集中模糊性的一种新方法

NEW METHOD FOR MEASURING FUZZINESS IN ROUGH SETS

何亚群 1胡寿松 2魏崇辉1

作者信息

  • 1. 南京航空航天大学自动化学院,南京,210016
  • 2. 空军后勤学院三系,徐州,221002
  • 折叠

摘要

Abstract

A method with the fuzzy entropy for measuring fuzziness to fuzzy problem in rough sets is proposed. A new sort of the fuzzy entropy is given. The calculating formula and the equivalent expression method with the fuzzy entropy in rough sets based on equivalence relation are provided, and the properties of the fuzzy entropy are proved. The fuzzy entropy based on equivalent relation is extended to generalize the fuzzy entropy based on general binary relation, and the calculating formula and the equivalent expression of the generalized fuzzy entropy are also given. Finally, an example illustrates the way for getting the fuzzy entropy. Results show that the fuzzy entropy can conveniently measure the fuzziness in rough sets.

关键词

粗糙集/模糊度/模糊熵/广义模糊熵

Key words

rough sets/fuzziness/fuzzy entropy/generalized fuzzy entropy

分类

信息技术与安全科学

引用本文复制引用

何亚群,胡寿松,魏崇辉..测量粗糙集中模糊性的一种新方法[J].南京航空航天大学学报(英文版),2004,21(1):31-35,5.

基金项目

Supported by the National Natural Science Foundation of China(60234010) (60234010)

Aeronautical Science Foundation of China(02E52025). (02E52025)

南京航空航天大学学报(英文版)

1005-1120

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