Topological structures of intuitionistic fuzzy rough sets

被引：0
|
作者：
Wu, Wei-Zhi [1 ]
Zhou, Lei [1 ]
机构：
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Zhejiang, Peoples R China
来源：
PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7 | 2008年
关键词：
approximation operators; approximation spaces; intuitionistic fuzzy sets; intuitionistic fuzzy topology; rough sets; topological spaces;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the topological structures of intuitionistic fuzzy rough sets. It is shown that an intuitionistic fuzzy rough approximation space can induce an intuitionistic fuzzy topological space if and only if the intuitionistic fuzzy relation in the approximation space is reflexive and transitive. The sufficient and necessary conditions that an intuitionistic fuzzy interior (closure, respectively) operator in an intuitionistic fuzzy topological space can associate with an intuitionistic fuzzy reflexive and transitive relation such that the inducing intuitionistic fuzzy rough lower (upper, respectively) approximation operator is the intuitionistic fuzzy interior (closure, respectively) operator are also examined.
引用
收藏
页码：618 / 623
页数：6
相关论文
共 50 条
  • [1] On intuitionistic fuzzy rough sets and their topological structures
    Zhou, Lei
    Wu, Wei-Zhi
    Zhang, Wen-Xiu
    [J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2009, 38 (06) : 589 - 616
  • [2] On the topological properties of intuitionistic fuzzy rough sets
    Lin, Renbing
    Wang, Jiyi
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING ( GRC 2009), 2009, : 404 - +
  • [3] The topological properties of intuitionistic fuzzy rough sets
    Bashir, Zia
    Malik, M. G. Abbas
    Asif, Saba
    Rashid, Tabasam
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (01) : 795 - 807
  • [4] On Fuzzy Rough Sets and Their Topological Structures
    Tang, Weidong
    Wu, Jinzhao
    Zheng, Dingwei
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [5] On a type of rough intuitionistic fuzzy sets and its topological structure
    Zhang, Yan-lan
    Lei, Yin-bin
    Li, Chang-qing
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (03) : 590 - 598
  • [6] A survey on topological structures on fuzzy rough sets
    Kumar, Virendra
    Tiwari, Surabhi
    [J]. AFRIKA MATEMATIKA, 2024, 35 (02)
  • [7] Topological structures of soft fuzzy rough sets
    Qin, Bin
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (03) : 459 - 467
  • [8] Rough intuitionistic fuzzy sets
    Rizvi, S
    Naqvi, HJ
    Nadeem, D
    [J]. PROCEEDINGS OF THE 6TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2002, : 101 - 104
  • [9] Topological structures of rough sets over fuzzy lattices
    Liu, GL
    Qu, DL
    Song, R
    [J]. 2005 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, 2005, : 535 - 538
  • [10] Intuitionistic Fuzzy Rough Sets and Intuitionistic Fuzzy Topology Spaces
    Feng, Tao
    Zhang, Shao-Pu
    Mi, Ju-Sheng
    [J]. INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL, 2011, 14 (08): : 2553 - 2562
12345