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Generalized Correlation Coefficients of Intuitionistic Fuzzy Sets with Application to MAGDM and Clustering Analysis

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Abstract

Correlation coefficient between two variables plays an important role in statistics. Further, the perfection in quantification of correlation relies on data collected from the set of discourse. It is quite obvious that data collected for various statistical measures are full of ambiguity. In this communication, we propose one- and two-parametric generalization of correlation coefficient of intuitionistic fuzzy sets (IFSs). We show the application of one-parametric generalized correlation coefficient in multi-attribute group decision-making (MAGDM). We use normalized correlation efficiency as a measure of objective weights of the expertise of decision-experts in MAGDM problem. We also show the application of both generalized correlation coefficients in clustering analysis.

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Acknowledgements

Authors are very thankful to the editor and anonymous reviewers of the Journal for their constructive suggestions to bring this paper in the present form.

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Authors and Affiliations

  1. School of Mathematics, Shri Mata Vaishno Devi University, Katra, J & K, 182320, India

    Surender Singh, Sonam Sharma & Sumita Lalotra

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  1. Surender Singh
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  2. Sonam Sharma
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  3. Sumita Lalotra
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Correspondence to Surender Singh.

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Singh, S., Sharma, S. & Lalotra, S. Generalized Correlation Coefficients of Intuitionistic Fuzzy Sets with Application to MAGDM and Clustering Analysis. Int. J. Fuzzy Syst. 22, 1582–1595 (2020). https://doi.org/10.1007/s40815-020-00866-1

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  • DOI: https://doi.org/10.1007/s40815-020-00866-1

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