Topological Structure of Relation-based Generalized Rough Sets

被引：18
|
作者：
Zhang, Yan-Lan [1 ]
Li, Jinjin [2 ]
Li, Changqing [2 ]
机构：
[1] Minnan Normal Univ, Coll Comp, Zhangzhou 363000, Fujian, Peoples R China
[2] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
来源：
FUNDAMENTA INFORMATICAE | 2016年 / 147卷 / 04期
基金：
中国国家自然科学基金;
关键词：
approximation operator; closure operator; generalized rough set; topology; REFLEXIVE; REDUCTION;
D O I：
10.3233/FI-2016-1418
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Rough set theory is an important tool to deal with vagueness and granularity in information systems. Lower and upper approximation operators are two important basic concepts in the rough set theory. The classical Pawlak rough set approximations is based on equivalence relations and has been extended to relation-based generalized rough set approximations. In this paper, properties of relation-based generalized rough set approximations are examined, and topological properties of relation-based generalized rough set approximations presents. Necessary and sufficient conditions for the relation-based generalized upper (lower) approximation operators to be topological closure (interior) operators are proposed.
引用
收藏
页码：477 / 491
页数：15
相关论文
共 50 条
  • [1] Relationships between covering-based rough sets and relation-based rough sets
    Zhang, Yan-Lan
    Luo, Mao-Kang
    [J]. INFORMATION SCIENCES, 2013, 225 : 55 - 71
  • [2] Topological structure of generalized rough sets
    Li, Zhaowen
    Xie, Tusheng
    Li, Qingguo
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (06) : 1066 - 1071
  • [3] Relationships between relation-based rough sets and belief structures
    Zhang, Yan-Lan
    Li, Chang-Qing
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2020, 127 (127) : 83 - 98
  • [4] On the topological properties of generalized rough sets
    Yu, Hai
    Zhan, Wan-rong
    [J]. INFORMATION SCIENCES, 2014, 263 : 141 - 152
  • [5] On the matroidal structure of generalized rough set based on relation via definable sets
    Liu, Yanfang
    Zhu, William
    [J]. INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2016, 7 (01) : 135 - 144
  • [6] On the matroidal structure of generalized rough set based on relation via definable sets
    Yanfang Liu
    William Zhu
    [J]. International Journal of Machine Learning and Cybernetics, 2016, 7 : 135 - 144
  • [7] A Refined Classification Method with Tolerance Relation-Based Rough Sets for Incomplete Decision Systems
    Bai, Yongqiang
    Zha, Wenzhong
    Chen, Jie
    Peng, Zhihong
    [J]. 2013 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC 2013), 2013, : 68 - 73
  • [8] Topological characterizations of generalized fuzzy rough sets
    Wang, Chun Yong
    [J]. FUZZY SETS AND SYSTEMS, 2017, 312 : 109 - 125
  • [9] On the structure of generalized rough sets
    Kondo, M
    [J]. INFORMATION SCIENCES, 2006, 176 (05) : 589 - 600
  • [10] A fast approach to attribute reduction in incomplete decision systems with tolerance relation-based rough sets
    Meng, Zuqiang
    Shi, Zhongzhi
    [J]. INFORMATION SCIENCES, 2009, 179 (16) : 2774 - 2793
12345