An intuitionistic fuzzy clustering algorithm based on a new correlation coefficient with application in medical diagnosis

Thao, Nguyen Xuan and Ali, Mumtaz ORCID: https://orcid.org/0000-0002-6975-5159 and Smarandache, Florentin (2019) An intuitionistic fuzzy clustering algorithm based on a new correlation coefficient with application in medical diagnosis. Journal of Intelligent and Fuzzy Systems, 36 (1). pp. 189-198. ISSN 1064-1246


Abstract

In this paper, we propose a new correlation coefficient between intuitionistic fuzzy sets. We then use this new result to compute some examples through which we find that it benefits from such an outcome with some well-known results in the literature. As in statistics with real variables, we refer to variance and covariance between two intuitionistic fuzzy sets. Then, we determined the formula for calculating the correlation coefficient based on the variance and covariance of the intuitionistic fuzzy set, the value of this correlation coefficient is in [–1,1]. Then, we develop this direction to build correlation coefficients between the interval-valued intuitionistic fuzzy sets and apply it in the pattern recognition problem. Finally, we apply this correlation coefficient in clustering problem with intuitionistic fuzzy information.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Date Deposited: 15 Jun 2022 04:29
Last Modified: 16 Jun 2022 00:09
Uncontrolled Keywords: Intuitionistic fuzzy set, interval –valued intuitionistic fuzzy set, variance, covariance, correlation coefficient
Fields of Research (2008): 08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080201 Analysis of Algorithms and Complexity
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010303 Optimisation
Fields of Research (2020): 46 INFORMATION AND COMPUTING SCIENCES > 4613 Theory of computation > 461399 Theory of computation not elsewhere classified
49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490304 Optimisation
Identification Number or DOI: https://doi.org/10.3233/JIFS-181084
URI: http://eprints.usq.edu.au/id/eprint/49065

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