Some notes on the relationships between intuitionistic fuzzy sets and correlation analysis

Abstract

In the real world applications it is common that relationship between tuples of attributes of dimension higher than two need to be examined. It is well known that correlation analysis is focused on measuring of strength and direction of relationship between a pair of attributes. Algorithms using intercriteria analysis that solve the problem of measuring the strength of relationship between triples, quadruples, etc., were designed previously. The research presented in this paper is motivated by possibilities of using intuitionistic fuzzy equivalence relations to classify the data into the specific classes. The objective of this work is to use the values of correlation coefficients and compute the relationship between more than two attributes. The results are compared with the results obtained by intercriteria analysis.