A fundamental decomposition of type-2 fuzzy sets

被引:0
|
作者
Mendel, JM [1 ]
John, RI [1 ]
机构
[1] Univ So Calif, Integrated Media Syst Ctr, Los Angeles, CA 90089 USA
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Type-2 fuzzy sets let us model and minimize the effects of uncertainties in rule-base fuzzy logic systems; however, they are difficult to understand for a variety of reasons which we enunciate. In this paper we strive to overcome the difficulties by: (1) establishing a small set of terms that let us easily communicate about type-2 fuzzy sets and also let us define such sets very precisely, and (2) presenting a new representation for type-2 fuzzy sets. This new representation can be used to derive formulas for union, intersection and complement of type-2 fuzzy sets without having to use the Extension Principle.
引用
收藏
页码:1896 / 1901
页数:6
相关论文
共 50 条
  • [21] INTERVAL TYPE-2 FUZZY ROUGH SETS AND INTERVAL TYPE-2 FUZZY CLOSURE SPACES
    Sharan, S.
    Tiwar, S. P.
    Yadav, V. K.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (03): : 113 - 125
  • [22] ON CENTROID CALCULATIONS FOR TYPE-2 FUZZY SETS
    Mendel, J. M.
    [J]. APPLIED AND COMPUTATIONAL MATHEMATICS, 2011, 10 (01) : 88 - 96
  • [23] A model for type-2 fuzzy rough sets
    Lu, Juan
    Li, De-Yu
    Zhai, Yan-Hui
    Li, Hua
    Bai, He-Xiang
    [J]. INFORMATION SCIENCES, 2016, 328 : 359 - 377
  • [24] On defuzzification of interval type-2 fuzzy sets
    Starczewski, Janusz T.
    [J]. ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING - ICAISC 2008, PROCEEDINGS, 2008, 5097 : 333 - 340
  • [25] Uninorm operations on type-2 fuzzy sets
    Takacs, Marta
    [J]. INES 2008: 12TH INTERNATIONAL CONFERENCE ON INTELLIGENT ENGINEERING SYSTEMS, PROCEEDINGS, 2008, : 277 - 280
  • [26] Aggregation operators on type-2 fuzzy sets
    Tones-Blanc, Carmen
    Cubillo, Susana
    Hernandez, Pablo
    [J]. FUZZY SETS AND SYSTEMS, 2017, 324 : 74 - 90
  • [27] Type-2 Fuzzy Sets as Functions on Spaces
    Aisbett, Janet
    Rickard, John T.
    Morgenthaler, David G.
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (04) : 841 - 844
  • [28] Footprint of uncertainty for type-2 fuzzy sets
    Mo, Hong
    Wang, F. -Y.
    Zhou, Min
    Li, Runmei
    Xiao, Zhiquan
    [J]. INFORMATION SCIENCES, 2014, 272 : 96 - 110
  • [29] An Approach to the Formation of the Type-2 Fuzzy Sets
    Yerukayev, Andrew
    [J]. 2016 13TH INTERNATIONAL CONFERENCE ON MODERN PROBLEMS OF RADIO ENGINEERING, TELECOMMUNICATIONS AND COMPUTER SCIENCE (TCSET), 2016, : 460 - 462
  • [30] A new approach to type-2 fuzzy sets
    Thiele, H
    [J]. LOGIC, ARTIFICIAL INTELLIGENCE AND ROBOTICS, 2001, 7 : 255 - 262