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Towards Imprecise Scores in Multi-criteria Decision Making with Ranked Weights

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Fuzzy Logic and Technology, and Aggregation Operators (EUSFLAT 2023, AGOP 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14069))

Abstract

There is a vast number of contributions in the literature dealing with problems for which they explicitly consider the imprecision in the inputs while keeping the output in crisp terms. Moreover, as the complexity in the representation of imprecision increases (for example, from triangular fuzzy numbers to type-2 fuzzy sets), a higher effort is required from the user to determine the input information. This situation is quite clear in the context of multicriteria decision making problems. Here we focus on these problems under three premises: 1) the input information is known to be of a fuzzy (imprecise) type but such fuzziness is not represented explicitly, 2) the relative importance of the criteria is given as ranked weights and 3) there exist an infinite number of potential weights (under the ranked weights conditions) definitions thus leading to an infinite number of potential scores that an alternative can achieve. Under these premises, it has perfect sense to assign the alternatives an imprecise score. The aim of this contribution is to propose how to model and calculate such imprecise scores as intervals first, and as triangular fuzzy numbers secondly. Using an illustrative example, the outputs are displayed and compared. Several discussions regarding the usefulness of more complex proposals are raised.

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Acknowledgments

Authors acknowledge support from projects PID2020-112754GB-I00, MCIN/AEI /10.13039/501100011033 and FEDER/Junta de Andalucía - Consejería de Transformación Económica, Industria, Conocimiento y Universidades/Proyecto (2020B-TIC-640-UGR20).

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Authors and Affiliations

  1. Grupo de Investigación sobre Modelos de Decisión y Optimización, Departamento de Ciencias de la Computación e Inteligencia Artificial, Universidad de Granada, 18014, Granada, Spain

    Pavel Novoa-Hernández, Boris Pérez-Cañedo, David A. Pelta & José Luis Verdegay

Authors
  1. Pavel Novoa-Hernández
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  2. Boris Pérez-Cañedo
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  3. David A. Pelta
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  4. José Luis Verdegay
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Corresponding author

Correspondence to Pavel Novoa-Hernández .

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Editors and Affiliations

  1. University of the Balearic Islands, Palma, Spain

    Sebastia Massanet

  2. University of Oviedo, Gijón, Spain

    Susana Montes

  3. University of the Balearic Islands, Palma, Spain

    Daniel Ruiz-Aguilera

  4. University of the Balearic Islands, Palma, Spain

    Manuel González-Hidalgo

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Novoa-Hernández, P., Pérez-Cañedo, B., Pelta, D.A., Verdegay, J.L. (2023). Towards Imprecise Scores in Multi-criteria Decision Making with Ranked Weights. In: Massanet, S., Montes, S., Ruiz-Aguilera, D., González-Hidalgo, M. (eds) Fuzzy Logic and Technology, and Aggregation Operators. EUSFLAT AGOP 2023 2023. Lecture Notes in Computer Science, vol 14069. Springer, Cham. https://doi.org/10.1007/978-3-031-39965-7_17

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  • DOI: https://doi.org/10.1007/978-3-031-39965-7_17

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  • Publisher Name: Springer, Cham

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