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3RD: A Multi-criteria Decision-Making Method Based on Three-Way Rankings

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Rough Sets (IJCRS 2021)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12872))

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Abstract

By combining ideas from three-way decision theory, prospect theory, and several families of multi-criteria decision-making (MCDM) methods, including ELECTRE, PROMETHEE, TODIM, and dominance-based rough set analysis (DRSA), we propose a new ranking-based MCDM method called 3RD. With respect to a single criterion, we construct a three-way ranking (i.e., trilevel ranking) of a set of decision alternatives by using an alternative as a reference in the sense of prospect theory and a family of three-way rankings from all alternatives. With respect to a set of criteria, we have multiple families of three-way rankings. By adopting the TODIM procedure, we introduce a ranking function to rank the set of alternatives according to these multiple families of trilevel rankings.

This work was partially supported by a Discovery Grant from NSERC, Canada. The authors thank reviewers for their constructive comments.

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Authors and Affiliations

  1. Department of Computer Science, University of Regina, Regina, SK, S4S 0A2, Canada

    Yiyu Yao & Chengjun Shi

Authors
  1. Yiyu Yao
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  2. Chengjun Shi
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Correspondence to Yiyu Yao or Chengjun Shi .

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Editors and Affiliations

  1. University of Winnipeg, Winnipeg, MB, Canada

    Sheela Ramanna

  2. Ghent University, Gent, Belgium

    Chris Cornelis

  3. University of Milano-Bicocca, Milan, Italy

    Davide Ciucci

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Yao, Y., Shi, C. (2021). 3RD: A Multi-criteria Decision-Making Method Based on Three-Way Rankings. In: Ramanna, S., Cornelis, C., Ciucci, D. (eds) Rough Sets. IJCRS 2021. Lecture Notes in Computer Science(), vol 12872. Springer, Cham. https://doi.org/10.1007/978-3-030-87334-9_25

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  • DOI: https://doi.org/10.1007/978-3-030-87334-9_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-87333-2

  • Online ISBN: 978-3-030-87334-9

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