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A new type of cosine similarity measures based on intuitionistic hesitant fuzzy rough sets for the evaluation of volatile currency: evidence from the Pakistan economy

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Abstract

This article proposes novel cosine and weighted cosine similarity measures based on intuitionistic hesitant fuzzy rough sets and examines their fundamental characteristics. Similarity measures are crucial and advantageous tools that have a broad range of applications in decision making, data mining, medical diagnosis, and pattern recognition. To demonstrate the validity of the proposed similarity measures, an illustrative example in the evaluation of volatile currency in Pakistan is presented to verify the efficacy of our approach. Additionally, the rankings of suggested similarity measures are compared to those identified in the literature. The findings demonstrate that the innovative similarity measures lead in consistent patterns of ranking. The comparison confirms that the suggested similarity measures methodologies may achieve precise classification results and are applicable to real-world challenges involving hesitancy and uncertainty.

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Acknowledgements

The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: (23UQU4350518DSR001).

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The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Bacha Khan University, Charsadda, KP, 24460, Pakistan

    Attaullah

  2. Department of Economics Islamia College Peshawar, KPK, Pakistan

    Sami Ullah

  3. Department of Insurance, College of Islamic Economics and Finance, Umm Al-Qura University, Makkah, 24243, Saudi Arabia

    Ramzi Drissi

  4. Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin, Abdulaziz University, 11942, Al-Kharj, Al-Aflaj, Saudi Arabia

    Fuad S. Al-Duais

  5. Administration Department, Administrative Science College, Thamar University, Thamar, Yemen

    Fuad S. Al-Duais

Authors
  1. Attaullah
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  2. Sami Ullah
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  3. Ramzi Drissi
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  4. Fuad S. Al-Duais
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All the authors contributed equally to the manuscript. All authors read and approved the final manuscript.

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Correspondence to Attaullah.

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Attaullah, Ullah, S., Drissi, R. et al. A new type of cosine similarity measures based on intuitionistic hesitant fuzzy rough sets for the evaluation of volatile currency: evidence from the Pakistan economy. Knowl Inf Syst 65, 4741–4758 (2023). https://doi.org/10.1007/s10115-023-01909-3

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  • DOI: https://doi.org/10.1007/s10115-023-01909-3

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