Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set

被引：0
|
作者：
Wu, Le-tao [1 ]
Yuan, Xue-hai [1 ]
机构：
[1] Dalian Univ Technol Panjin, Sch Math & Phys Sci, Panjin 124221, Liaoning, Peoples R China
来源：
FUZZY INFORMATION AND ENGINEERING AND DECISION | 2018年 / 646卷
关键词：
Fuzzy rough set; Intuitionistic fuzzy set; Cut set; Three valued fuzzy set; Rough set;
D O I：
10.1007/978-3-319-66514-6_4
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, the triple valued fuzzy set is selected as the cut set of intuitionistic fuzzy set and four kinds of cut sets of intuitionistic fuzzy sets are selected to investigate the intuitionistic fuzzy rough set. The intuitionistic fuzzy rough set is constructed by using the representation theorem of intuitionistic fuzzy set, and it is proved to be equivalent to the original intuitionistic fuzzy rough set. These works give a new perspective on intuitionistic fuzzy rough sets, which promotes the further research and development of the theory of intuitionistic fuzzy sets and rough sets.
引用
收藏
页码：37 / 45
页数：9
相关论文
共 50 条
  • [41] Dominance-based rough set model in intuitionistic fuzzy information systems
    Huang, Bing
    Li, Hua-xiong
    Wei, Da-kuan
    [J]. KNOWLEDGE-BASED SYSTEMS, 2012, 28 : 115 - 123
  • [42] Rule Generation Based on Novel Kernel Intuitionistic Fuzzy Rough Set Model
    Lin, Kuo-Ping
    Hung, Kuo-Chen
    Lin, Ching-Lin
    [J]. IEEE ACCESS, 2018, 6 : 11953 - 11958
  • [43] Design and Implementation of a Logic Reasoning System Based on Intuitionistic Fuzzy Rough Set
    Tian, Ye
    Li, Longyue
    Guo, Pengsong
    [J]. 2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC), 2021, : 2430 - 2435
  • [44] Traversing and Ranking of Elements of an Intuitionistic Fuzzy Set in the Intuitionistic Fuzzy Interpretation Triangle
    Atanassova, Vassia
    Vardeva, Ivelina
    Sotirova, Evdokia
    Doukovska, Lyubka
    [J]. NOVEL DEVELOPMENTS IN UNCERTAINTY REPRESENTATION AND PROCESSING: ADVANCES IN INTUITIONISTIC FUZZY SETS AND GENERALIZED NETS, 2016, 401 : 161 - 174
  • [45] 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
  • [46] A new generalized intuitionistic fuzzy set
    Jamkhaneh, Ezzatallah Baloui
    Nadarajah, Saralees
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06): : 1537 - 1551
  • [47] Consolidation Operator for Intuitionistic Fuzzy Set
    Nair, Premchand S.
    [J]. 2009 ANNUAL MEETING OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY, 2009, : 552 - 556
  • [48] Intuitionistic L-fuzzy Rough Sets, Intuitionistic L-fuzzy Preorders and Intuitionistic L-fuzzy Topologies
    Zhong, Yu
    Yan, Cong-Hua
    [J]. FUZZY INFORMATION AND ENGINEERING, 2016, 8 (03) : 255 - 279
  • [49] The Matrix Representation of Fuzzy Rough Set Model in Intuitionistic Fuzzy Ordered Information System
    Li, Zhiming
    Tang, Yongzhong
    [J]. PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 2177 - 2182
  • [50] Fuzzy Entropy with Order and Degree for Intuitionistic Fuzzy Set
    Dass, Bhagwan
    Tomar, Vijay Prakash
    Kumar, Krishan
    [J]. ADVANCES IN BASIC SCIENCES (ICABS 2019), 2019, 2142
12345