Abstract
In this note, we generalize the concepts of correlation and correlation coefficient of interval-valued intuitionistic fuzzy sets in a general probability space and generalize the results of Bustince and Burillo (1995) with remarkably simple proofs. We also introduce three more decomposition theorems of the correlation of interval-valued intuitionistic fuzzy sets in terms of the correlation of interval-valued fuzzy sets and the entropy of the intuitionistic fuzzy sets.
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