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On Complex Picture Hesitant Fuzzy Set and Its Application in Classification Problem

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Cryptology and Network Security with Machine Learning (ICCNSML 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 918))

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Abstract

In this article, we have proposed a new concept of a complex picture hesitant fuzzy set which has advantages over the two theories of picture fuzzy set and hesitant fuzzy set. Later, some algebraic properties related to the proposed theory have also been explained in detail which adds the strong foundation of the concept for further study. An application based on the theory has also been presented which validates the applicability of the concept in solving the problems caused by the fuzziness of the data available.

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Acknowledgements

We do acknowledge our gratitude to the reviewers for giving valuable comments and suggestions for the improvement of the manuscript.

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Authors and Affiliations

  1. ABES Engineering College, Ghaziabad, Uttar Pradesh, 201009, India

    Mahima Poonia

  2. Jaypee University of Information Technology, Waknaghat, Solan, Himachal Pradesh, 173234, India

    Rakesh Kumar Bajaj

  3. Pranveer Singh Institute of Technology, Kanpur, Uttar Pradesh, 209305, India

    Varun Shukla

Authors
  1. Mahima Poonia
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  2. Rakesh Kumar Bajaj
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  3. Varun Shukla
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Corresponding author

Correspondence to Rakesh Kumar Bajaj .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Pranveer Singh Institute of Technology, Kanpur, India

    Atul Chaturvedi

  2. Department of Mathematics, Indian Institute of Technology Jammu, Jammu, India

    Sartaj Ul Hasan

  3. Applied Statistics Unit, Indian Statistical Institute, Kolkata, India

    Bimal Kumar Roy

  4. Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    Boaz Tsaban

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The authors declare no competing interests.

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© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Poonia, M., Bajaj, R.K., Shukla, V. (2024). On Complex Picture Hesitant Fuzzy Set and Its Application in Classification Problem. In: Chaturvedi, A., Hasan, S.U., Roy, B.K., Tsaban, B. (eds) Cryptology and Network Security with Machine Learning. ICCNSML 2023. Lecture Notes in Networks and Systems, vol 918. Springer, Singapore. https://doi.org/10.1007/978-981-97-0641-9_25

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  • DOI: https://doi.org/10.1007/978-981-97-0641-9_25

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-97-0640-2

  • Online ISBN: 978-981-97-0641-9

  • eBook Packages: EngineeringEngineering (R0)

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