Correlation coefficient of intuitionistic fuzzy sets

Authors

1 Professor, College of Information Science and Technology, Beijing Normal University, Beijing, 100875, China

2 Professor, School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

Abstract

Based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. Further, we discuss some of their properties and give three numerical examples to illustrate our proposed method reasonable.

Keywords