On Dual Intuitionistic Fuzzy Rough Approximation Operators Determined by an Intuitionistic Fuzzy Implicator

被引:0
|
作者
Wu, Wei-Zhi [1 ]
Gao, Cang-Jian [1 ]
Li, Tong-Jun [1 ]
Xu, You-Hong [1 ]
机构
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Zhejiang, Peoples R China
关键词
Approximation operators; Intuitionistic fuzzy implicators; Intuitionistic fuzzy rough sets; Intuitionistic fuzzy sets; Rough sets; SETS;
D O I
暂无
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, dual intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy implication operator I in infinite universes of discourse are investigated. Lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space in infinite universes of discourse are first introduced. Properties of I-intuitionistic fuzzy rough approximation operators are then examined. Relationships between special types of intuitionistic fuzzy relations and properties of I-intuitionistic fuzzy rough approximation operators are further established.
引用
收藏
页码:138 / 146
页数:9
相关论文
共 50 条
  • [41] Axiomatic Characterizations of Reflexive and T-Transitive I-Intuitionistic Fuzzy Rough Approximation Operators
    Wu, Wei-Zhi
    Xu, You-Hong
    Li, Tong-Jun
    Wang, Xia
    [J]. ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, RSFDGRC 2015, 2015, 9437 : 218 - 229
  • [42] ROBUSTNESS OF INTUITIONISTIC FUZZY DIFFERENCE OPERATORS
    Zanotelli, R.
    Reiser, R.
    Yamin, A.
    Bedregal, B.
    [J]. UNCERTAINTY MODELLING IN KNOWLEDGE ENGINEERING AND DECISION MAKING, 2016, 10 : 37 - 43
  • [43] Interval-Valued Intuitionistic Fuzzy Soft Rough Approximation Operators and Their Applications in Decision Making Problem
    Anjan Mukherjee
    Abhik Mukherjee
    [J]. Annals of Data Science, 2022, 9 : 611 - 625
  • [44] Intuitionistic fuzzy monotonic DOWA operators
    Xie, Zhichun
    Ma, Rong
    Li, Deqing
    Wan, Qianhui
    Zeng, Wenyi
    Yu, Xianchuan
    Xu, Zeshui
    [J]. AIMS MATHEMATICS, 2023, 8 (12): : 30445 - 30461
  • [45] About intuitionistic fuzzy implication operators
    Bustince, H
    Burillo, P
    Mohedano, V
    [J]. PROCEEDINGS OF THE 6TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2002, : 109 - 112
  • [46] A study on intuitionistic fuzzy topological operators
    Tarsuslu , Sinem
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (49): : 863 - 875
  • [47] Extension of intuitionistic fuzzy modal operators ⊞ and ⊠
    Dencheva, KP
    [J]. 2004 2ND INTERNATIONAL IEEE CONFERENCE INTELLIGENT SYSTEMS, VOL 3, STUDENT SESSIONS, PROCEEDINGS, 2004, : 21 - 22
  • [48] Induced generalized intuitionistic fuzzy operators
    Xu, Zeshui
    Xia, Meimei
    [J]. KNOWLEDGE-BASED SYSTEMS, 2011, 24 (02) : 197 - 209
  • [49] CUBIC INTUITIONISTIC FUZZY AGGREGATION OPERATORS
    Kaur, Gagandeep
    Garg, Harish
    [J]. INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2018, 8 (05) : 405 - 427
  • [50] On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes
    Thumbakara, Rajesh K.
    [J]. JOURNAL OF MATHEMATICS, 2013, 2013