An approximation method for Type Reduction of an Interval Type-2 fuzzy set based on α-cuts

被引:0
|
作者
Figueroa Garcia, Juan Carlos [1 ]
机构
[1] Univ Dist Francisco Jose de Caldas, Bogota, Colombia
关键词
PLANE REPRESENTATION; LOGIC SYSTEMS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper shows a proposal for Type-reduction of an Interval Type-2 fuzzy set composed from alpha-cuts done over its primary membership functions. The definition of available Type-reduction methods for Interval Type-2 fuzzy sets are based on an homogeneous subdivision of the universe of discourse, so we propose an approximation algorithm for Type-reduction of an Interval type-2 fuzzy set through its primary alpha-cuts. Some definitions about the alpha-cut of a Type-2 fuzzy set are provided and used for computing the centroid of an Interval Type-2 fuzzy set through a mapping of its membership function, instead of its universe of discourse.
引用
收藏
页码:49 / 54
页数:6
相关论文
共 50 条
  • [1] Type-reduction of the discretised interval type-2 fuzzy set
    Greenfield, Sarah
    Chiclana, Francisco
    John, Robert
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 2009, : 738 - 743
  • [2] Interval Type-2 Fuzzy Set Extension of DEMATEL Method
    Hosseini, Mitra Bokaei
    Tarokh, Mohammad Jafar
    [J]. COMPUTATIONAL INTELLIGENCE AND INFORMATION TECHNOLOGY, 2011, 250 : 157 - 165
  • [3] An Extended TOPSIS Method Based on Gaussian Interval Type-2 Fuzzy Set
    Huidong Wang
    Jinli Yao
    Jun Yan
    Mingguang Dong
    [J]. International Journal of Fuzzy Systems, 2019, 21 : 1831 - 1843
  • [4] An Extended TOPSIS Method Based on Gaussian Interval Type-2 Fuzzy Set
    Wang, Huidong
    Yao, Jinli
    Yan, Jun
    Dong, Mingguang
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2019, 21 (06) : 1831 - 1843
  • [5] An Interval Type-2 Fuzzy Rough Set Model for Attribute Reduction
    Wu, Haoyang
    Wu, Yuyuan
    Luo, Jinping
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (02) : 301 - 315
  • [6] An interval type-2 fuzzy extension of the TOPSIS method using alpha cuts
    Dymova, Ludmila
    Sevastjanov, Pavel
    Tikhonenko, Anna
    [J]. KNOWLEDGE-BASED SYSTEMS, 2015, 83 : 116 - 127
  • [7] Interval Type-2 Fuzzy Markov Chains: Type Reduction
    Figueroa-Garcia, Juan C.
    Kalenatic, Dusko
    Amilcar Lopez, Cesar
    [J]. ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS: WITH ASPECTS OF ARTIFICIAL INTELLIGENCE, 2012, 6839 : 211 - +
  • [8] Geometric measurement of interval type-2 fuzzy sets and application based on λ-cuts
    Peng, Ying
    Mao, Junjun
    Wu, Xiaorui
    Wu, Tao
    [J]. 2018 15TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV), 2018, : 1333 - 1338
  • [9] Modeling Capability of Type-1 Fuzzy Set and Interval Type-2 Fuzzy Set
    Nie, Maowen
    Tan, Woei Wan
    [J]. 2012 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2012,
  • [10] A Novel Type-Reduction Method for Interval Type-2 Fuzzy Logic Systems
    Li, Chengdong
    Yi, Jianqiang
    Zhao, Dongbin
    [J]. FIFTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS, 2008, : 157 - 161