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Novel q-Rung Orthopair Fuzzy Hamacher Dual Muirhead Mean Operator for Multi-attribute Decision-Making

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Frontiers in Industrial and Applied Mathematics (FIAM 2021)

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Abstract

Real-life multi-attribute decision-making (MADM) has some major issues related to the space of the problem, inter-dependency among attributes, flexibility in the aggregation process, etc. So, our objective is to deal with these issues by adopting suitable tools and techniques like the q-rung orthopair fuzzy set (q-ROFS) for handling space-related difficulty. Dual Muirhead mean (DMM) is applied to address the inter-dependency among attributes, and for a flexible aggregation process, the Hamacher t-norm (TN) and t-conorm (TCN) are utilised. By fusing these approaches, this paper proposes two novel aggregation operators (AOs) named q-rung orthopair fuzzy Hamacher dual Muirhead mean (q-ROFHDMM) and q-rung orthopair fuzzy Hamacher weighted dual Muirhead mean (q-ROFHWDMM) operators. The essential properties of these AOs and special cases are explored as well. Finally, the q-ROFHWDMM operator has been used to construct a MADM method. The study also examines a practical example of selecting an enterprise resource planning (ERP) system, as well as sensitive and comparative analysis.

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Authors and Affiliations

  1. Doon University, Dehradun, India

    Sukhwinder Singh Rawat &  Komal

Authors
  1. Sukhwinder Singh Rawat
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  2. Komal
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Corresponding author

Correspondence to Sukhwinder Singh Rawat .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Institute of Technology, Nirma University, Ahmedabad, India

    Rajesh Kumar Sharma

  2. Dipartimento Di Matematica, University of Ferrara, Ferrara, Italy

    Lorenzo Pareschi

  3. Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa

    Abdon Atangana

  4. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

    Bikash Sahoo

  5. Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, India

    Vijay Kumar Kukreja

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Rawat, S.S., Komal (2023). Novel q-Rung Orthopair Fuzzy Hamacher Dual Muirhead Mean Operator for Multi-attribute Decision-Making. In: Sharma, R.K., Pareschi, L., Atangana, A., Sahoo, B., Kukreja, V.K. (eds) Frontiers in Industrial and Applied Mathematics. FIAM 2021. Springer Proceedings in Mathematics & Statistics, vol 410. Springer, Singapore. https://doi.org/10.1007/978-981-19-7272-0_8

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