On definition and construction of association measures

被引:20
作者
Batyrshin, Ildar Z. [1 ]
机构
[1] Inst Politecn Nacl, CIC, Mexico City 07738, DF, Mexico
关键词
Association measure; Pearson's correlation coefficient; t-conorm; similarity measure; involution;
D O I
10.3233/IFS-151930
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The definition and the general methods of construction of non-statistical association measures on different domains are discussed. An association measure is a function of two variables defined on a set X with involutive operation and satisfying the properties similar to the properties of the Pearson's correlation coefficient. Such measure can be used for analysis of the possible positive and negative relationships between variables. The methods of construction of association measures using similarity measures and pseudo-difference operations associated to t-conorms are discussed. The examples of association measures on different domains are considered.
引用
收藏
页码:2319 / 2326
页数:8
相关论文
共 18 条
[1]  
[Anonymous], 2008, AGGREGATION FUNCTION
[2]  
[Anonymous], 1994, Fuzzy preference modelling and multicriteria decision support
[3]  
[Anonymous], 2011, Pei. data mining concepts and techniques
[4]  
Batyrshin Ildar, 2013, Advances in Soft Computing and Its Applications. 12th Mexican International Conference on Artificial Intelligence, MICAI 2013. Proceedings, LNCS 8266, P194, DOI 10.1007/978-3-642-45111-9_17
[5]   On the structure of involutive, contracting and expanding negations [J].
Batyrshin, I .
FUZZY SETS AND SYSTEMS, 2003, 139 (03) :661-672
[6]  
Batyrshin I., 2012, ORADM 2012, P117
[7]  
Batyrshin I., 2013, BRICS CCI 2013
[8]  
Batyrshin I., 2015, P 4 WORLD C SOFT COM
[9]   Association measures on [0,1] [J].
Batyrshin, Ildar Z. .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (03) :1011-1020
[10]  
Brin S., 1997, P 1997 ACM SIGMOD IN, P265