Intuitionistic Fuzzy Rough Approximation Operators Determined by Intuitionistic Fuzzy Triangular Norms

被引:1
|
作者
Wu, Wei-Zhi [1 ]
Gu, Shen-Ming [1 ]
Li, Tong-Jun [1 ]
Xu, You-Hong [1 ]
机构
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316022, Zhejiang, Peoples R China
关键词
Approximation operators; Intuitionistic fuzzy rough sets; Intuitionistic fuzzy sets; Intuitionistic fuzzy triangular norms; Rough sets; SETS;
D O I
10.1007/978-3-319-11740-9_60
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, relation-based intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy triangular norm T are investigated. By employing an intuitionistic fuzzy triangular norm T and its dual intuitionistic fuzzy triangular conorm, lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first introduced. Properties of T-intuitionistic fuzzy rough approximation operators are then examined. Relationships between special types of intuitionistic fuzzy relations and properties of T-intuitionistic fuzzy rough approximation operators are further explored.
引用
收藏
页码:653 / 662
页数:10
相关论文
共 50 条
  • [1] On Dual Intuitionistic Fuzzy Rough Approximation Operators Determined by an Intuitionistic Fuzzy Implicator
    Wu, Wei-Zhi
    Gao, Cang-Jian
    Li, Tong-Jun
    Xu, You-Hong
    [J]. ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, 2013, 8170 : 138 - 146
  • [2] On generalized intuitionistic fuzzy rough approximation operators
    Zhou, Lei
    Wu, Wei-Zhi
    [J]. INFORMATION SCIENCES, 2008, 178 (11) : 2448 - 2465
  • [3] Independence of axiom sets on intuitionistic fuzzy rough approximation operators
    Xiaoping Yang
    Yu Yang
    [J]. International Journal of Machine Learning and Cybernetics, 2013, 4 : 505 - 513
  • [4] Independence of axiom sets on intuitionistic fuzzy rough approximation operators
    Yang, Xiaoping
    Yang, Yu
    [J]. INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2013, 4 (05) : 505 - 513
  • [5] Generalized Soft Intuitionistic Fuzzy Rough Sets Determined by a Pair of Intuitionistic Fuzzy Implicators
    Shao, Wenkai
    Shao, Yabin
    [J]. 2015 12TH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (FSKD), 2015, : 226 - 230
  • [6] Rough sets on intuitionistic fuzzy approximation spaces
    Tripathy, B. K.
    [J]. 2006 3RD INTERNATIONAL IEEE CONFERENCE INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2006, : 762 - 765
  • [7] Intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings
    Zhang, Zhi-Ming
    Bai, Yun-Chao
    Tian, Jing-Feng
    [J]. Kongzhi yu Juece/Control and Decision, 2010, 25 (09): : 1369 - 1373
  • [8] 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
  • [9] Intuitionistic Fuzzy Topologies Induced by Intuitionistic Fuzzy Approximation Spaces
    Yun, Sang Min
    Lee, Seok Jong
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2017, 19 (02) : 285 - 291
  • [10] Intuitionistic Fuzzy Topologies Induced by Intuitionistic Fuzzy Approximation Spaces
    Sang Min Yun
    Seok Jong Lee
    [J]. International Journal of Fuzzy Systems, 2017, 19 : 285 - 291