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Correlation coefficient of intuitionistic hesitant fuzzy sets based on informational energy and their applications to clustering analysis

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Abstract

On daily basis human beings came across with the activity in which one should have to choose among various choices the most convenient one for the decision situation by means of mental and reasoning process. In this paper we utilize the concept of intuitionistic hesitant fuzzy set (IHFS) which is the combination of hesitant fuzzy set and intuitionistic fuzzy set to manage those situations in which professionals hesitate amid several possible membership and non-membership values to evaluate an alternative. To attain a few correlation coefficient formulas for IHFS and implement them to clustering analysis under intuitionistic hesitant fuzzy surroundings is the aim of this paper. Two examples, i.e., universities categorization on the basis of quality and countries evaluation on the basis of economy are implemented to exemplify the undeniable requirement of the clustering algorithm depend on IHFS. These examples link the distinction of assessment data supplied by unalike professionals in clustering operations.

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Acknowledgements

The authors would like to thank the editors and the anonymous reviewers, whose insightful comments and constructive suggestions helped us to significantly improve the quality of this paper.

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Authors and Affiliations

  1. University of Management and Technology, Lahore, 54770, Pakistan

    Adina Asim, Rabia Nasar & Tabasam Rashid

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  1. Adina Asim
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  2. Rabia Nasar
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  3. Tabasam Rashid
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Correspondence to Tabasam Rashid.

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Asim, A., Nasar, R. & Rashid, T. Correlation coefficient of intuitionistic hesitant fuzzy sets based on informational energy and their applications to clustering analysis. Soft Comput 23, 10393–10406 (2019). https://doi.org/10.1007/s00500-018-3591-1

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