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Novel MCGDM analysis under m-polar fuzzy soft expert sets

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Abstract

Multi-criteria group decision-making (MCGDM) is an approach to tackle different decision-making situations, where the criteria that drive the decision are considered by different experts. Research regarding MCGDM is quite challenging due to both the structure of the problem and the existence of complex uncertain information. The goal of this article is to produce a new MCGDM model which covers criteria evaluation by different experts. A novel hybrid model called m-polar fuzzy soft expert sets is developed by the combination of m-polar fuzzy sets with soft expert sets; thus, it investigates soft expert sets in the m-polar fuzzy environment. The characteristics of this hybrid model are explored with the aid of numerical examples. Further, its basic properties are investigated, and the operations of subsethood, complement, intersection, union, plus the OR and AND operators are introduced. Two well-known real-world problems are solved with the developed hybrid model, namely site selection for a dam and human trafficking analysis for different countries. The algorithm of the proposed model proves its efficiency and cogency. A comparison of the developed model with existing mathematical methods is provided.

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Funding

J.C.R. Alcantud is grateful to the Junta de Castilla y León and the European Regional Development Fund (Grant CLU-2019-03) for the financial support to the Research Unit of Excellence ‘Economic Management for Sustainability’ (GECOS).

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, 4590, Pakistan

    Muhammad Akram

  2. Division of Science and Technology, Department of Mathematics, University of Education, Lahore, Pakistan

    Ghous Ali

  3. Punjab University College of Information Technology, University of the Punjab, Old Campus, Lahore, 54000, Pakistan

    Muhammad Arif Butt

  4. BORDA Research Unit and IME, University of Salamanca, Salamanca, Spain

    José Carlos R. Alcantud

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  1. Muhammad Akram
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  2. Ghous Ali
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  3. Muhammad Arif Butt
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  4. José Carlos R. Alcantud
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Correspondence to José Carlos R. Alcantud.

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Akram, M., Ali, G., Butt, M.A. et al. Novel MCGDM analysis under m-polar fuzzy soft expert sets. Neural Comput & Applic 33, 12051–12071 (2021). https://doi.org/10.1007/s00521-021-05850-w

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