On type-2 fuzzy sets and their t-norm operations

被引：66
|
作者：
Hu, Bao Qing [1 ]
Kwong, C. K. [2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Hong Kong Polytech Univ, Dept Ind & Syst Engn, Hong Kong, Hong Kong, Peoples R China
来源：
INFORMATION SCIENCES | 2014年 / 255卷
基金：
中国国家自然科学基金;
关键词：
Type-2 fuzzy set; Fuzzy true value; t-Norm; Type-2 fuzzy number; TRUTH VALUES; UNCERTAINTY MEASURES; TRIANGULAR NORMS; LOGIC SYSTEMS; FUZZISTICS; ALGORITHMS; OPERATORS; ALGEBRA;
D O I：
10.1016/j.ins.2013.07.023
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we discuss t-norm extension operations of general binary operation for fuzzy true values on a linearly ordered set, with a unit interval and a real number set as special cases. On the basis of it, t-norm operations of type-2 fuzzy sets and properties of type-2 fuzzy numbers are discussed. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：58 / 81
页数：24
相关论文
共 50 条
  • [21] Distance-based operations on type-2 fuzzy sets
    Takacs, Marta
    ICCC 2007: 5TH IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL CYBERNETICS, PROCEEDINGS, 2007, : 47 - 49
  • [22] Sets with type-2 operations
    Walker, Carol
    Walker, Elbert
    NAFIPS 2006 - 2006 ANNUAL MEETING OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY, VOLS 1 AND 2, 2006, : 14 - +
  • [23] Sets with type-2 operations
    Walker, Carol L.
    Walker, Elbert A.
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2009, 50 (01) : 63 - 71
  • [24] Centroid of norm Type-2 fuzzy sets based on structured element
    Guo S.-C.
    Ren Y.
    Yang Y.
    Kongzhi yu Juece/Control and Decision, 2017, 32 (04): : 734 - 740
  • [25] On Type-2 Fuzzy Sets and Type-2 Fuzzy Systems
    Shvedov A.S.
    Journal of Mathematical Sciences, 2021, 259 (3) : 376 - 384
  • [26] Fuzzy subgroups over a t-norm
    Rasuli, Rasul
    JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2018, 39 (08): : 1757 - 1765
  • [27] t-Norm Fuzzy Incidence Graphs
    Mordeson, John N.
    Mathew, Sunil
    MATHEMATICS, 2018, 6 (04):
  • [28] On T-Norms for Type-2 Fuzzy Sets
    Hernandez, Pablo
    Cubillo, Susana
    Torres-Blanc, Carmen
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (04) : 1155 - 1163
  • [29] T-norms for type-2 fuzzy sets
    Walker, Carol L.
    Walker, Elbert A.
    2006 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-5, 2006, : 1235 - +
  • [30] Fuzzy arithmetic with product t-norm
    Soylu, G.
    Aslan, M. E.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2021, 18 (06): : 185 - 197
12345