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On generalized correlation coefficients of the hesitant fuzzy sets with their application to clustering analysis

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Abstract

Hesitant fuzzy sets (HFSs) are considered as a powerful tool to deal with uncertain information in the problems of group decision making (GDM). To measure the degree of association between the two HFSs various correlation coefficients exist in the literature. We derive one parametric and two parametric generalizations of these correlation coefficients and apply them to clustering analysis in hesitant fuzzy settings. We also investigate the effectiveness of the proposed generalized correlation coefficients while dealing with a real-world problem by clustering analysis.

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Acknowledgements

The authors would like to thank the anonymous referees for their helpful and constructive suggestions.

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Authors and Affiliations

  1. School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, 182320, India

    Surender Singh & Sumita Lalotra

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  1. Surender Singh
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  2. Sumita Lalotra
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Correspondence to Surender Singh.

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Communicated by Anibal Tavares de Azevedo.

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Singh, S., Lalotra, S. On generalized correlation coefficients of the hesitant fuzzy sets with their application to clustering analysis. Comp. Appl. Math. 38, 11 (2019). https://doi.org/10.1007/s40314-019-0765-0

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  • DOI: https://doi.org/10.1007/s40314-019-0765-0

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