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

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Title of paper: Some notes on the relationships between intuitionistic fuzzy sets and correlation analysis
Author(s):
Alžbeta Michalíková
Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia
Mathematical Institute, Slovak Academy of Sciences, Dumbierska 1, Banská Bystrica, Slovakia
alzbeta.michalikova@umb.sk
Adam Dudáš
Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia
adam.dudas@umb.sk
Presented at: Proceedings of the 27th International Conference on Intuitionistic Fuzzy Sets, 5–6 July 2024, Burgas, Bulgaria
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 1, pages 77–91
DOI: https://doi.org/10.7546/nifs.2024.30.1.77-91
Download:  PDF (449  Kb, File info)
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.
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy relations, InterCriteria Analysis, Correlation analysis.
AMS Classification: 03E72, 62H20.
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