Correlation Coefficient between Intuitionistic Fuzzy Sets

被引:0
|
作者
Park, Jin Han [1 ]
Lim, Ki Moon [1 ]
Park, Jong Seo [2 ]
Kwun, Young Chel [3 ]
机构
[1] Pukyong Natl Univ, Div Math Sci, Pusan 608737, South Korea
[2] Chinju Natl Univ Educ, Dept Math Educ, Chinju 660756, South Korea
[3] Dong A Univ, Dept Math, Pusan 604714, South Korea
来源
FUZZY INFORMATION AND ENGINEERING, VOLUME 2 | 2009年 / 62卷
关键词
Intuitionistic fuzzy sets; correlation coefficient; interval-valued intuitionistic fuzzy sets; OPERATIONS;
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
When we deal with crisp data, it is common to find the correlation between variables. In this paper, we propose a method to calculate the correlation coefficient between intuitionistic fuzzy sets, by adopting the concepts from the conventional statistics. The value of the correlation coefficient computed front our formula not only provides us the strength of the relationship of intuitionistic fuzzy sets; but also shows that the intuitionistic fuzzy sets are positively or negatively related. Furthermore, we extend the proposed method to interval-valued intuitionistic fuzzy sets. The value of the correlation coefficient between interval-valued intuitionistic fuzzy sets lies in the interval [-1,1].
引用
收藏
页码:601 / +
页数:3
相关论文
共 50 条
  • [1] A correlation coefficient for intuitionistic fuzzy sets
    Mitchell, HB
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2004, 19 (05) : 483 - 490
  • [2] An Improved Correlation Coefficient of Intuitionistic Fuzzy Sets
    Huang, Han-Liang
    Guo, Yuting
    JOURNAL OF INTELLIGENT SYSTEMS, 2019, 28 (02) : 231 - 243
  • [3] CORRELATION COEFFICIENT BETWEEN GENERALIZED ATANASSOV'S INTUITIONISTIC FUZZY SETS
    Park, Jin Han
    Lim, Ki Moon
    Lee, Bu Young
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2009, 17 (03) : 449 - 461
  • [4] A new correlation coefficient of the intuitionistic fuzzy sets and its application
    Nguyen Xuan Thao
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (02) : 1959 - 1968
  • [5] Choquet integral correlation coefficient of intuitionistic fuzzy sets and its applications
    Qu, Guohua
    Qu, Weihua
    Zhang, Zhenhua
    Wang, Jianxiu
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (01) : 543 - 553
  • [6] On an Enhanced Method for a More Meaningful Pearson's Correlation Coefficient between Intuitionistic Fuzzy Sets
    Szmidt, Eulalia
    Kacprzyk, Janusz
    ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING, PT I, 2012, 7267 : 334 - 341
  • [7] CORRELATION OF INTUITIONISTIC FUZZY-SETS
    GERSTENKORN, T
    MANKO, J
    FUZZY SETS AND SYSTEMS, 1991, 44 (01) : 39 - 43
  • [8] STATISTICAL CORRELATION OF INTUITIONISTIC FUZZY SETS
    Zhang, Qian-Sheng
    Jiang, Sheng-Yi
    PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 817 - +
  • [9] On correlation measures of intuitionistic fuzzy sets
    Xu, Zeshui
    INTELLIGENT DATA ENGINEERING AND AUTOMATED LEARNING - IDEAL 2006, PROCEEDINGS, 2006, 4224 : 16 - 24
  • [10] Correlation between Intuitionistic Fuzzy Sets: Some Conceptual and Numerical Extensions
    Szmidt, Eulalia
    Kacprzyk, Janusz
    Bujnowski, Pawel
    2012 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2012,