Generalized fuzzy rough sets

被引:505
|
作者
Wu, WZ [1 ]
Mi, JS
Zhang, WX
机构
[1] Xi An Jiao Tong Univ, Fac Sci, Inst Informat & Syst Sci, Xian 710049, Shaanxi, Peoples R China
[2] Zhejiang Ocean Univ, Informat Coll, Zhoushan 316004, Zheijiang, Peoples R China
关键词
approximation operators; fuzzy relations; fuzzy rough sets; rough sets;
D O I
10.1016/S0020-0255(02)00379-1
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a general framework for the study of fuzzy rough sets in which both constructive and axiomatic approaches are used. In constructive approach, a pair of lower and upper generalized approximation operators is defined. The connections between fuzzy relations and fuzzy rough approximation operators are examined. In axiomatic approach, various classes of fuzzy rough approximation operators are characterized by different sets of axioms. Axioms of fuzzy approximation operators guarantee the existence of certain types of fuzzy relations producing the same operators. (C) 2002 Published by Elsevier Science Inc.
引用
收藏
页码:263 / 282
页数:20
相关论文
共 50 条
  • [1] On generalized fuzzy rough sets
    Pei, D.
    Fan, T.
    [J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2009, 38 (03) : 255 - 271
  • [2] Uncertainty in generalized fuzzy rough sets
    Mi, JS
    Guo, ZX
    Feng, T
    Zhao, HY
    [J]. 2005 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, 2005, : 213 - 216
  • [3] A generalized model of fuzzy rough sets
    Pei, D
    [J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2005, 34 (05) : 603 - 613
  • [4] Invertible approximation operators of generalized rough sets and fuzzy rough sets
    Liu, Guilong
    Sai, Ying
    [J]. INFORMATION SCIENCES, 2010, 180 (11) : 2221 - 2229
  • [5] Generalized Probabilistic Rough Sets Characterized by Fuzzy Sets
    Qiu, Xu-Qin
    Wei, Li-Li
    [J]. PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL I, 2009, : 474 - 478
  • [6] Generalized rough sets over fuzzy lattices
    Liu, Guilong
    [J]. INFORMATION SCIENCES, 2008, 178 (06) : 1651 - 1662
  • [7] Rough Fuzzy Sets in Generalized Approximation Space
    Sun, Bingzhen
    Gong, Zengtai
    [J]. FIFTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS, 2008, : 416 - +
  • [8] On Structure of Generalized Intuitionistic Fuzzy Rough Sets
    Liu, Guilong
    Liu, Jie
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING ( GRC 2009), 2009, : 419 - 423
  • [9] Topological characterizations of generalized fuzzy rough sets
    Wang, Chun Yong
    [J]. FUZZY SETS AND SYSTEMS, 2017, 312 : 109 - 125
  • [10] Generalized rough sets and fuzzy membership functions
    Yao, YY
    [J]. PROCEEDINGS OF THE 6TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2002, : 145 - 148