Relationship between Similarity Measure and Entropy of Interval Type-2 Fuzzy Sets

被引:0
|
作者
Zhang, Xiang [1 ]
Zheng, Gao [2 ]
机构
[1] Sichuan Coll Architectural Technol, Dept Econ Management, Deyang, Peoples R China
[2] China Maritime Police Acad, Dept Electromech Management, Ningbo, Zhejiang, Peoples R China
来源
2013 10TH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (FSKD) | 2013年
关键词
fuzzy logic; interval type-2 fuzzy set; similarity measure; entropy;
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
The similarity measure and entropy of fuzzy sets are two important fuzzy measures in fuzzy logic theory and it is significant to research their relationship. In this paper, we mainly discuss the relationship between the similarity measure and entropy of interval type-2 fuzzy sets (IT2 FSs) proposed by Zheng et al., and give two Theorems and a Corollary that can reflect the mutual conversion relationship between two indexes. These conclusions have extensive practicability in many fields.
引用
收藏
页码:98 / 102
页数:5
相关论文
共 50 条
  • [1] ON SIMILARITY, INCLUSION MEASURE AND ENTROPY BETWEEN TYPE-2 FUZZY SETS
    Hwang, Chao-Ming
    Yang, Miin-Shen
    Hung, Wen-Liang
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2012, 20 (03) : 433 - 449
  • [2] Relationship between similarity measure and entropy of interval valued fuzzy sets
    Zeng, Wenyi
    Li, Hongxing
    FUZZY SETS AND SYSTEMS, 2006, 157 (11) : 1477 - 1484
  • [3] The Similarity Measure between Interval Type-2 Fuzzy Sets based on Triangles
    Lv, Zehua
    Jin, Hai
    Yuan, Pingpeng
    ICIA: 2009 INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION, VOLS 1-3, 2009, : 1349 - 1354
  • [4] A vector similarity measure for interval type-2 fuzzy sets
    Wu, Dongrui
    Mendel, Jerry M.
    2007 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-4, 2007, : 17 - 22
  • [5] The Similarity Measure between Interval Type-2 Fuzzy Sets based on the Intersection of their FOUs
    Rezaee, Babak
    2012 IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND CYBERNETICS (CYBERNETICSCOM), 2012, : 108 - 112
  • [6] Relationship between σ-entropy and σ-similarity measure of fuzzy sets
    Tong Xiaojun
    Yi Lin
    Tao Hongjiu
    KYBERNETES, 2006, 35 (9-10) : 1382 - 1392
  • [7] An Entropy of Interval Type-2 Fuzzy Sets
    Zheng, Gao
    Yin, Shiwei
    MECHATRONICS AND INDUSTRIAL INFORMATICS, PTS 1-4, 2013, 321-324 : 1999 - 2003
  • [8] The Entropy and Similarity Measure of Interval Valued Intuitionistic Fuzzy Sets and Their Relationship
    Hu, Kai
    Li, Jinquan
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2013, 15 (03) : 279 - 288
  • [9] FUSE (Fuzzy Similarity Measure) - A measure for determining fuzzy short text similarity using Interval Type-2 fuzzy sets
    Adel, Naeemeh
    Crockett, Keeley
    Crispin, Alan
    Chandran, David
    Carvalho, Joao P.
    2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2018,
  • [10] A Method for Converting Inclusion Measure to Entropy of Interval Type-2 Fuzzy Sets
    Zheng, Gao
    Wang, Jing
    5TH ANNUAL INTERNATIONAL CONFERENCE ON INFORMATION SYSTEM AND ARTIFICIAL INTELLIGENCE (ISAI2020), 2020, 1575