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Weighted correlation coefficient measure for intuitionistic fuzzy set based on cosine entropy measure

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Abstract

Here, a new weighted correlation coefficient measure for intuitionistic fuzzy sets has been proposed having range between [− 1, 1]. It is obvious that the weight of criterion is completely unknown in multi-criterion decision making problems involving fuzziness and vagueness. To find the weight of each criterion, a weighted cosine entropy model is defined based on modified cosine entropy measure. The properties of the proposed measures have also been proved for the validity of measures. A comparative analysis of the suggested measure has been done with some existing measures in the field of medical sciences. The results of the comparative study are shown in tabular and graphical form.

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Authors and Affiliations

  1. Department of Statistics, Maharshi Dayanand University, Rohtak, Haryana, 124001, India

    S. C. Malik, Masum Raj & Rahul Thakur

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  1. S. C. Malik
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  2. Masum Raj
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  3. Rahul Thakur
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Correspondence to S. C. Malik.

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Malik, S.C., Raj, M. & Thakur, R. Weighted correlation coefficient measure for intuitionistic fuzzy set based on cosine entropy measure. Int. j. inf. tecnol. 15, 3449–3461 (2023). https://doi.org/10.1007/s41870-023-01384-7

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