Correlation Of Intuitionistic Fuzzy Sets Research Articles

Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment

The paper presents the correlation and correlation coefficient of single-valued neutrosophic sets (SVNSs) based on the extension of the correlation of intuitionistic fuzzy sets and demonstrates that the cosine similarity measure is a special case of the correlation coefficient in SVNS. Then a decision-making method is proposed by the use of the weighted correlation coefficient or the weighted cosine similarity measure of SVNSs, in which the evaluation information for alternatives with respect to criteria is carried out by truth-membership degree, indeterminacy-membership degree, and falsity-membership degree under single-valued neutrosophic environment. We utilize the weighted correlation coefficient or the weighted cosine similarity measure between each alternative and the ideal alternative to rank the alternatives and to determine the best one(s). Finally, an illustrative example demonstrates the application of the proposed decision-making method.

Correlation of Intuitionistic Fuzzy Sets

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 for intuitionistic fuzzy data, by adopting the concepts from the conventional statistics. The value of the correlation coefficient computed from 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.

Correlation of intuitionistic fuzzy sets by centroid method

Abstract In this paper, we propose a method to calculate the correlation coefficient of intuitionistic fuzzy sets by means of “centroid”. This value obtained from our formula tell us not only the strength of relationship between the intuitionistic fuzzy sets, but also whether the intuitionistic fuzzy sets are positively or negatively related. This approach looks better than previous methods which only evaluate the strength of the relation. Furthermore, we extend the “centroid” 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], as computed from our formula.

PARTIAL CORRELATION COEFFICIENTS OF INTUITIONISTIC FUZZY SETS

In many applications, partial correlation for three or more intuitionistic fuzzy sets are very important, but Hung [12] do not discuss this problem. In this paper, we propose a method to calculate the partial correlation of intuitionistic fuzzy sets by means of multivariate correlation model. In order to fit into normal framework, we use empirical logit transform (see Agresti [1] and Johnson and Wichern [13]) for the degree of membership of intuitionistic fuzzy set to achive this.

Using Statistical Viewpoint in Developing Correlation of Intuitionistic Fuzzy Sets

Using Statistical Viewpoint in Developing Correlation of Intuitionistic Fuzzy Sets

A note on the correlation of fuzzy numbers

This short note gives counterexamples showing that Yu's (1993) propositions on correlation of fuzzy numbers and Gerstenkorn and Mańko's (1991) note on correlation of intuitionistic fuzzy sets are not valid.

Correlation of intuitionistic fuzzy sets in probability spaces

In this paper, we study the concepts of correlation and correlation coefficient of intuitionistic fuzzy sets in probability spaces. In the case of finite spaces, these results give the results of Gerstenkorn and Mańko: (1991) and in the case of infinite spaces, also give the correct forms of Yu's (1993) results.

Correlation of interval-valued intuitionistic fuzzy sets

In this paper we introduce the concepts of correlation and correlation coefficient of interval-valued intuitionistic fuzzy sets and we study their first properties. We also introduce two decomposition theorems of the correlation of interval-valued intuitionistic fuzzy sets, one in terms of the correlation of interval-valued fuzzy sets and the entropy of the intuitionistic fuzzy sets, and the other theorem in terms of the correlation of intuitionistic fuzzy sets.

Correlation of intuitionistic fuzzy sets

In the present article we define a functional measuring the interrelation of intuitionistic fuzzy sets, the so-called correlation of these sets, and introduce a coefficient of such a correlation and examine its properties.