Decomposition of rough sets based on fuzzy equivalence relation

被引:0
|
作者
Xu, Xiao-Jing [1 ]
Pei, Hai-Feng [1 ]
Shi, Kai-Quan [1 ]
机构
[1] School of Math. and System Sci., Shandong Univ., Jinan 250100, China
关键词
Computer aided software engineering - Equivalence classes - Fuzzy sets;
D O I
暂无
中图分类号
学科分类号
摘要
Firstly this paper presents some properties of fuzzy similarity relation and fuzzy equivalence relation. Secondly λ-equivalence classes are founded based on the fuzzy equivalence relation according to its properties and λ-rough sets are founded based on the λ-equivalence classes. λ-rough sets is a general case of Z. Pawlakrough sets. The general properties of the λ-equivalence classes and λ-rough sets are presented. The decomposition of λ-equiralence class and the decomposition of λ-rough sets are defined. Lastly the decomposition chain of rough sets is given.
引用
收藏
页码:626 / 628
相关论文
共 50 条
  • [21] The subsystem of the fuzzed rough, sets based on equivalence class
    Zhou, J
    Chen, DG
    2002 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-4, PROCEEDINGS, 2002, : 2157 - 2159
  • [22] Fuzzy Quantifier-Based Fuzzy Rough Sets
    Theerens, Adnan
    Cornelis, Chris
    PROCEEDINGS OF THE 2022 17TH CONFERENCE ON COMPUTER SCIENCE AND INTELLIGENCE SYSTEMS (FEDCSIS), 2022, : 269 - 278
  • [23] Axiomatic approaches of the approximation operation based on rough sets and fuzzy rough sets
    Li, XiangPeng
    Dong, Min
    Qing, Liu
    2008 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, 2008, : 393 - +
  • [24] Covering Based Rough Equivalence of Sets and Comparison of Knowledge
    Tripathy, B. K.
    Tripathy, Hrudaya Ku.
    IACSIT-SC 2009: INTERNATIONAL ASSOCIATION OF COMPUTER SCIENCE AND INFORMATION TECHNOLOGY - SPRING CONFERENCE, 2009, : 303 - +
  • [25] Fuzzy rough sets based on Morsi fuzzy hemimetrics
    Zhang, Guangxv
    Yao, Wei
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2024, 53 (01): : 107 - 120
  • [26] Generalization of rough fuzzy sets based on a fuzzy ideal
    Ibedou, I.
    Abbas, S. E.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2023, 20 (01): : 27 - 38
  • [27] Fuzzy multi-granulation decision-theoretic rough sets based on fuzzy preference relation
    Mandal, Prasenjit
    Ranadive, A. S.
    SOFT COMPUTING, 2019, 23 (01) : 85 - 99
  • [28] Fuzzy multi-granulation decision-theoretic rough sets based on fuzzy preference relation
    Prasenjit Mandal
    A. S. Ranadive
    Soft Computing, 2019, 23 : 85 - 99
  • [29] FURTHER REMARKS ON THE RELATION BETWEEN ROUGH AND FUZZY-SETS
    CHANAS, S
    KUCHTA, D
    FUZZY SETS AND SYSTEMS, 1992, 47 (03) : 391 - 394
  • [30] The Parameter Reduction of Fuzzy Soft Sets Based on Soft Fuzzy Rough Sets
    Zhang, Zhiming
    ADVANCES IN FUZZY SYSTEMS, 2013, 2013