Type-2 Fuzzy Sets as Functions on Spaces

被引：72
|
作者：
Aisbett, Janet [1 ]
Rickard, John T. [2 ]
Morgenthaler, David G. [3 ]
机构：
[1] Univ Newcastle, Callaghan, NSW 2308, Australia
[2] Distributed Infin Inc, Larkspur, CO 80118 USA
[3] Lockheed Martin Corp, Integrated Syst & Global Solut, Littleton, CO 80127 USA
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2010年 / 18卷 / 04期
关键词：
Embedded type-1 (T1) fuzzy sets; interval-valued fuzzy sets; type-2 (T2) fuzzy sets;
D O I：
10.1109/TFUZZ.2010.2046176
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
For many readers and potential authors, type-2 (T2) fuzzy sets might be more readily understood if expressed by the use of standard mathematical notation and terminology. This paper, therefore, translates constructs associated with T2 fuzzy sets to the language of functions on spaces. Such translations may encourage researchers in different disciplines to investigate T2 fuzzy sets, thereby potentially broadening their application and strengthening the underlying theory.
引用
收藏
页码：841 / 844
页数：4
相关论文
共 50 条
  • [31] Extension of Restricted Equivalence Functions and Similarity Measures for Type-2 Fuzzy Sets
    De Miguel, Laura
    Santiago, Regivan
    Wagner, Christian
    Garibaldi, Jonathan M.
    Takac, Zdenko
    Roldan Lopez de Hierro, Antonio Francisco
    Bustince, Humberto
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (09) : 4005 - 4016
  • [32] Critique of "A New Look at Type-2 Fuzzy Sets and Type-2 Fuzzy Logic Systems"
    Mendel, Jerry M.
    Wu, Dongrui
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (03) : 725 - 727
  • [33] ON CENTROID CALCULATIONS FOR TYPE-2 FUZZY SETS
    Mendel, J. M.
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2011, 10 (01) : 88 - 96
  • [34] A model for type-2 fuzzy rough sets
    Lu, Juan
    Li, De-Yu
    Zhai, Yan-Hui
    Li, Hua
    Bai, He-Xiang
    INFORMATION SCIENCES, 2016, 328 : 359 - 377
  • [35] On defuzzification of interval type-2 fuzzy sets
    Starczewski, Janusz T.
    ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2008, PROCEEDINGS, 2008, 5097 : 333 - 340
  • [36] Uninorm operations on type-2 fuzzy sets
    Takacs, Marta
    INES 2008: 12TH INTERNATIONAL CONFERENCE ON INTELLIGENT ENGINEERING SYSTEMS, PROCEEDINGS, 2008, : 277 - 280
  • [37] On the Variance of Interval Type-2 Fuzzy Sets
    Figueroa-Garcia, Juan Carlos
    Ramos-Cuesta, Jennifer Soraya
    Hernandez-Perez, German
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (07) : 2320 - 2330
  • [38] Type-2 fuzzy multigranulation rough sets
    Lu, Juan
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2020, 124 (124) : 173 - 193
  • [39] ALGEBRAIC STRUCTURE OF FUZZY SETS OF TYPE-2
    NIEMINEN, J
    KYBERNETIKA, 1977, 13 (04) : 261 - 273
  • [40] Type-2 fuzzy sets and system: An overview
    Mendel, Jerry M.
    IEEE Computational Intelligence Magazine, 2007, 2 (02) : 20 - 29
12345