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Multi-attribute Group Decision Making Through the Development of Dombi Bonferroni Mean Operators Using Dual Hesitant Pythagorean Fuzzy Data

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Proceedings of Academia-Industry Consortium for Data Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1411))

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Abstract

Dual hesitant Pythagorean fuzzy set has been emerged as a successful fuzzy variant to deal with uncertain and vague information. Bonferroni mean possesses the capacity to deal with interrelated input arguments in multi-attribute group decision-making problems. Moreover, the process of aggregation becomes more supple using a dynamic Dombi parameter. Considering these two aspects, in this paper Bonferroni mean is merged with Dombi operations for dual hesitant Pythagorean fuzzy information processing. At first, Dombi operations on dual hesitant Pythagorean fuzzy sets are introduced. Then, utilizing Bonferroni mean operator with Dombi operations, some new aggregation operators for aggregating dual hesitant Pythagorean fuzzy information, viz., dual hesitant Pythagorean fuzzy Dombi Bonferroni mean, dual hesitant Pythagorean fuzzy Dombi geometric Bonferroni mean and their weighted operators, are proposed. Some special cases and important properties of the proposed operators have been discussed. Further, an approach for the application of the proposed operators in solving real-life group decision-making problem is presented and two illustrated numerical examples have been provided to show its validity.

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Acknowledgements

The authors express their gratitude to the reviewers for their invaluable suggestions for improvement of the quality of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Kalyani, 741235, India

    Nayana Deb & Animesh Biswas

  2. Department of Mathematics, Heramba Chandra College, Kolkata, 700029, India

    Arun Sarkar

Authors
  1. Nayana Deb
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  2. Arun Sarkar
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  3. Animesh Biswas
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, College of Science and Technology, Wenzhou Kean University, Wenzhou, China

    Gaurav Gupta

  2. Department of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lipo Wang

  3. Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology Jalandhar, Jalandhar, Punjab, India

    Anupam Yadav

  4. School of Mathematical Sciences, College of Science and Technology, Wenzhou Kean University, Wenzhou, China

    Puneet Rana

  5. Newford Research Institute of Advanced Technology, Wenzhou, China

    Zhenyu Wang

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Deb, N., Sarkar, A., Biswas, A. (2022). Multi-attribute Group Decision Making Through the Development of Dombi Bonferroni Mean Operators Using Dual Hesitant Pythagorean Fuzzy Data. In: Gupta, G., Wang, L., Yadav, A., Rana, P., Wang, Z. (eds) Proceedings of Academia-Industry Consortium for Data Science. Advances in Intelligent Systems and Computing, vol 1411. Springer, Singapore. https://doi.org/10.1007/978-981-16-6887-6_17

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