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
  • [31] The theory of intuitionistic fuzzy sets based on the intuitionistic fuzzy special sets
    Yuan, Xue-hai
    Li, Hong-xing
    Zhang, Cheng
    INFORMATION SCIENCES, 2014, 277 : 284 - 298
  • [32] Fuzzy rough sets are intuitionistic L-fuzzy sets
    Coker, D
    FUZZY SETS AND SYSTEMS, 1998, 96 (03) : 381 - 383
  • [33] Uncertain Reasoning Based on Intuitionistic Fuzzy Set
    Du Chun-yan
    He Shuai-tian
    ISTM/2009: 8TH INTERNATIONAL SYMPOSIUM ON TEST AND MEASUREMENT, VOLS 1-6, 2009, : 1708 - 1710
  • [34] An Interval-Valued Intuitionistic Fuzzy Rough Set Model
    Zhang, Zhiming
    FUNDAMENTA INFORMATICAE, 2009, 97 (04) : 471 - 498
  • [35] An interval-valued rough intuitionistic fuzzy set model
    Zhang, Zhiming
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2010, 39 (02) : 135 - 164
  • [36] Representation of rough sets based on intuitionistic fuzzy special sets
    Pei, Zheng
    Zhang, Li
    Chen, Honghua
    FOUNDATIONS OF FUZZY LOGIC AND SOFT COMPUTING, PROCEEDINGS, 2007, 4529 : 114 - +
  • [37] Intuitionistic fuzzy β-covering-based rough sets
    Huang, Bing
    Li, Huaxiong
    Feng, Guofu
    Guo, Chunxiang
    ARTIFICIAL INTELLIGENCE REVIEW, 2020, 53 (04) : 2841 - 2873
  • [38] Rough Approximations Based on Random Intuitionistic Fuzzy Sets
    Zhou, Lei
    Wu, Wei-Zhi
    2008 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, VOLS 1 AND 2, 2008, : 849 - +
  • [39] Attributes reduction based on intuitionistic fuzzy rough sets
    Zhang, Zhiming
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (02) : 1127 - 1137
  • [40] Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets - Revisited
    Smarandache, Florentin
    NEUTROSOPHIC SETS AND SYSTEMS, 2018, 21 : 153 - 166
12345