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Averaging aggregation under uncertainty and bipolar preference environments

  • Soft computing in decision making and in modeling in economics
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Abstract

Uncertainty in information provides the possibility of having and applying preferences, and therefore, it necessitates the study of preferences-involved aggregation theory and techniques under uncertainty information environments. Hence, this paper discusses several rules-based decision-making methods in uncertain decision scenarios with or without fusion processes. Some special averaging aggregation methods and transformations for basic uncertain information vector are proposed. [0, 1]-valued, [\(-1\), 1]-valued, and vector-valued bipolar preferences with some of their relations are discussed. The discussions and analyses of aggregation mainly revolve around Sugeno integral. Finally, multiple aggregation schemes with vector-valued preferences with numerical examples are proposed, and some few related comparisons are provided.

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Acknowledgements

The authors would like to thank the Editor-in-Chief, the Associate Editor, and the anonymous referees for their prompt, thorough, and insightful comments on this paper.

Funding

This work is partly supported by the National Natural Science Foundation of China (Grant Nos. 72171182 and 71801175), grant APVV-18-0052, VEGA 1/0006/19, and the grant Palacky University Olomouc IGAPrF2021.

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Authors and Affiliations

  1. Business School, Nanjing Normal University, Nanjing, China

    LeSheng Jin

  2. Machine Intelligence Institute, Iona College, New Rochelle, NY, USA

    Ronald R. Yager

  3. School of Civil Engineering, Wuhan University, Wuhan, 430072, China

    Zhen-Song Chen

  4. Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 810 05, Bratislava, Slovakia

    Radko Mesiar

  5. Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 77 146, Olomouc, Czech Republic

    Radko Mesiar

  6. Department of Computer Science, University of Jáen, Campus Las Lagunillas s/n, 23071, Jaén, Spain

    Luis Martínez & Rosa M. Rodríguez

Authors
  1. LeSheng Jin
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  2. Ronald R. Yager
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  3. Zhen-Song Chen
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  4. Radko Mesiar
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  6. Rosa M. Rodríguez
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Correspondence to Zhen-Song Chen.

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Jin, L., Yager, R.R., Chen, ZS. et al. Averaging aggregation under uncertainty and bipolar preference environments. Soft Comput 27, 8153–8159 (2023). https://doi.org/10.1007/s00500-023-08152-6

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