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
  • [1] Uncertainty and Equivalence Relation Analysis for Hesitant Fuzzy-Rough Sets and Their Applications in Classification
    Zhang, Haiqing
    Li, Daiwei
    Wang, Tao
    Li, Tianrui
    Yu, Xi
    Bouras, Abdelaziz
    COMPUTING IN SCIENCE & ENGINEERING, 2019, 21 (06) : 26 - 39
  • [2] Fuzzy preference relation rough sets
    Hu, Qinghua
    Yu, Daren
    Wu, Congxin
    2008 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, 2008, : 300 - 305
  • [3] Covering-based rough fuzzy sets and binary relation
    Kozae, A. M.
    El-Sheikh, S. A.
    Mareay, R.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (02) : 1031 - 1038
  • [4] Covering Based Rough Sets and Relation Based Rough Sets
    Restrepo, Mauricio
    Gomez, Jonatan
    ROUGH SETS AND INTELLIGENT SYSTEMS PARADIGMS, RSEISP 2014, 2014, 8537 : 143 - 152
  • [5] Fuzzy modeling based on rough sets and fuzzy sets
    Xie, KM
    Chen, ZH
    PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 2262 - 2265
  • [6] Fuzzy modeling based on rough sets and fuzzy sets
    Xie, KM
    Chen, ZH
    Xie, G
    Müller-Schloer, C
    ISTM/2003: 5TH INTERNATIONAL SYMPOSIUM ON TEST AND MEASUREMENT, VOLS 1-6, CONFERENCE PROCEEDINGS, 2003, : 977 - 980
  • [7] Generalized rough equivalence and generalized rough inclusion based on equivalence operator of pansystems of rough sets
    Wu, LL
    Li, YL
    Lin, H
    2005 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, 2005, : 679 - 682
  • [8] Generalized fuzzy rough sets based on (β, δ)-fuzzy similarity relation and their application to emergency management
    Rehman N.
    Ali A.
    Hila K.
    Journal of Ambient Intelligence and Humanized Computing, 2023, 14 (04) : 4127 - 4155
  • [9] Multi-granularity decision-theoretic rough sets based on the fuzzy T-equivalence relation with new strategies
    Qian, Jin
    Han, Xing
    Yu, Ying
    Liu, Caihui
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44 (04) : 5617 - 5631
  • [10] Multi-granularity decision-theoretic rough sets based on the fuzzy T-equivalence relation with new strategies
    Qian J.
    Han X.
    Yu Y.
    Liu C.
    Journal of Intelligent and Fuzzy Systems, 2023, 44 (04): : 5617 - 5631