On possibilistic correlation

On possibilistic correlation

In 2004 Fullér and Majlender introduced the notion of covariance between fuzzy numbers by their joint possibility distribution to measure the degree to which they interact. Based on this approach, in this paper we will present the concept of possibilistic correlation representing an average degree of interaction between marginal distributions of a joint possibility distribution as compared to t...

On Possibilistic Correlation Coefficient and Ratio for Fuzzy Numbers

In this paper we show some properties of possibilistic correlation coefficient and correlation ratio for marginal possibility distributions. We will show some examples for their computation from some joint possibility distributions. Key–Words: Fuzzy number, Possibility distribution, Correlation coefficient, Correlation ratio

A note on the convexity assumption of possibilistic correlation

The Lower Limit for Possibilistic Correlation Coefficient

Recently, Fullér et al. [Fuzzy Sets and Systems, 2010] introduced a new f -weighted index of interactivity, ρf (A,B), between marginal possibility distributions A and B of a joint possibility distribution C for any weighting function f . They also left two open questions in connection with the lower limit for f -weighted possibilistic correlation coefficient related to the improved index of int...

Some applications of possibilistic mean value, variance, covariance and correlation

In 2001 we introduced the notions of possibilistic mean value and variance of fuzzy numbers. In this paper we list some works that use these notions. We shall mention some application areas as well. 1 Possibilistic mean value, variance, covariance and correlation A fuzzy number A is a fuzzy set R with a normal, fuzzy convex and continuous membership function of bounded support. The family of fu...