ON CENTROID CALCULATIONS FOR TYPE-2 FUZZY SETS

被引:0
|
作者
Mendel, J. M. [1 ]
机构
[1] Univ So Calif, Ming Hsieh Dept Elect Engn, Los Angeles, CA 90089 USA
关键词
Type-2 Fuzzy Sets; Interval Type-2 Fuzzy Sets; Centroid of Type-2 Fuzzy Set; KM Algorithms; KARNIK-MENDEL ALGORITHMS; LOGIC SYSTEMS; WEIGHTED AVERAGE; DESIGN;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The centroid of a type-2 fuzzy set is very important because it projects a type-2 fuzzy set into a type-1 fuzzy set and also acts as a measure of uncertainty for that set. It is used in type-2 fuzzy logic control and communication systems. In this paper the centroid is reviewed and algorithms for its computation are summarized. Applications for the centroid are also reviewed.
引用
收藏
页码:88 / 96
页数:9
相关论文
共 50 条
  • [1] Centroid of triangular and Gaussian type-2 fuzzy sets
    Starczewski, Janusz T.
    [J]. INFORMATION SCIENCES, 2014, 280 : 289 - 306
  • [2] The Type-1 OWA Operator and the Centroid of Type-2 Fuzzy Sets
    Chiclana, Francisco
    Zhou, Shang-Ming
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-2011) AND LFA-2011, 2011, : 15 - 20
  • [3] Enhanced Centroid-Flow Algorithm for Computing the Centroid of General Type-2 Fuzzy Sets
    Zhai, Daoyuan
    Mendel, Jerry M.
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2012, 20 (05) : 939 - 956
  • [4] Centroid of a type-2 fuzzy set
    Karnik, NN
    Mendel, JM
    [J]. INFORMATION SCIENCES, 2001, 132 (1-4) : 195 - 220
  • [5] Monotone Centroid Flow Algorithm for Type Reduction of General Type-2 Fuzzy Sets
    Linda, Ondrej
    Manic, Milos
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2012, 20 (05) : 805 - 819
  • [6] Fuzzistics for Interval Type-2 Fuzzy Sets Using Centroid as Measure of Uncertainty
    Nie, Maowen
    Tan, Woei Wan
    [J]. PROCEEDINGS OF THE 2013 IEEE SYMPOSIUM ON ADVANCES IN TYPE-2 FUZZY LOGIC SYSTEMS (T2FUZZ), 2013, : 23 - 30
  • [7] On Type-2 Fuzzy Sets and Type-2 Fuzzy Systems
    Shvedov A.S.
    [J]. Journal of Mathematical Sciences, 2021, 259 (3) : 376 - 384
  • [8] Short Remark on Fuzzy Sets, Interval Type-2 Fuzzy Sets, General Type-2 Fuzzy Sets and Intuitionistic Fuzzy Sets
    Castillo, Oscar
    Melin, Patricia
    Tsvetkov, Radoslav
    Atanassov, Krassimir T.
    [J]. INTELLIGENT SYSTEMS'2014, VOL 1: MATHEMATICAL FOUNDATIONS, THEORY, ANALYSES, 2015, 322 : 183 - 190
  • [9] Centroid Density of Interval Type-2 Fuzzy Sets: Comparing Stochastic and Deterministic Defuzzification
    Linda, Ondrej
    Manic, Milos
    [J]. IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ 2011), 2011, : 1560 - 1567
  • [10] Centroid uncertainty bounds for interval type-2 fuzzy sets: Forward and inverse problems
    Mendel, JM
    Wu, HW
    [J]. 2004 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, PROCEEDINGS, 2004, : 947 - 952