On Type-2 Fuzzy Sets and Type-2 Fuzzy Systems

被引：0
|
作者：
Shvedov A.S. [1 ]
机构：
[1] National Research University Higher School of Economics, Moscow
来源：
Journal of Mathematical Sciences | 2021年 / 259卷 / 3期
关键词：
93C42; 94D05; functional fuzzy system; fuzzy relation of type 2; fuzzy set of type 2; relational fuzzy system;
D O I：
10.1007/s10958-021-05624-8
中图分类号：
学科分类号：
摘要：
One of the advantages of systems based on fuzzy logic (fuzzy systems) is the possibility of a soft switch from one set of values of input parameters of the system to another, when different conclusions are drawn for different sets of these values. A fuzzy set of type 2 is a direct generalization of an ordinary fuzzy set. In this paper, we review some branches of the theory of type-2 fuzzy sets and the theory of type-2 fuzzy systems. We discuss operations on type-2 fuzzy sets, type-2 fuzzy relations, and the centroids of type-2 fuzzy sets and describe type-2 functional fuzzy systems and type-2 relational fuzzy systems. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
引用
收藏
页码：376 / 384
页数：8
相关论文
共 50 条
  • [41] Hedge Algebraic Type-2 Fuzzy Sets
    Tran Dinh Khang
    Phan Anh Phong
    Dinh Khac Dong
    Cao Minh Trang
    [J]. 2010 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2010), 2010,
  • [42] Exploring Constrained Type-2 Fuzzy Sets
    D'Alterio, Pasquale
    Garibaldi, Jonathan M.
    Pourabdollah, Amir
    [J]. 2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2018,
  • [43] Operations on Triangle Type-2 Fuzzy Sets
    Ling, Xue
    Zhang, Yunjie
    [J]. CEIS 2011, 2011, 15
  • [44] An Entropy of Interval Type-2 Fuzzy Sets
    Zheng, Gao
    Yin, Shiwei
    [J]. MECHATRONICS AND INDUSTRIAL INFORMATICS, PTS 1-4, 2013, 321-324 : 1999 - 2003
  • [45] APPLICATION OF FUZZY-SETS OF TYPE-2 TO THE SOLUTION OF FUZZY EQUATIONS SYSTEMS
    WAGENKNECHT, M
    HARTMANN, K
    [J]. FUZZY SETS AND SYSTEMS, 1988, 25 (02) : 183 - 190
  • [46] Type-2 fuzzy sets for computing with words
    Mendel, Jerry M.
    [J]. 2006 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING, 2006, : 8 - 8
  • [47] Containment and specificity for type-2 fuzzy sets
    Yager, Ronald R.
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2007, 9 (02) : 55 - 66
  • [48] Multivariate modeling and type-2 fuzzy sets
    Aisbett, Janet
    Rickard, John T.
    Morgenthaler, David
    [J]. FUZZY SETS AND SYSTEMS, 2011, 163 (01) : 78 - 95
  • [49] On interval type-2 rough fuzzy sets
    Zhang, Zhiming
    [J]. KNOWLEDGE-BASED SYSTEMS, 2012, 35 : 1 - 13
  • [50] Representation for general type-2 fuzzy sets
    Mo, Hong
    Wang, F-Y
    [J]. 2017 4TH INTERNATIONAL CONFERENCE ON INFORMATION, CYBERNETICS AND COMPUTATIONAL SOCIAL SYSTEMS (ICCSS), 2017, : 389 - 394
12345