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IFS-IBA Logical Aggregation with Frank t-norms

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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))

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Abstract

In this paper, we present a novel aggregation method for intuitionistic fuzzy sets (IFS) based on interpolative Boolean algebra (IBA) and logical aggregation (LA). The approach is founded on IFS-IBA calculus, an approach that maintains intuitionistic presumptions when dealing with IFS. The main contribution of IFS-IBA approach is the explicit inclusion of attribute correlation and automated choice of aggregation operator. That is accomplished by introducing parametric Frank t-norm in IFS-IBA calculus and by defining a clear relation between correlation and Frank t-norm parameter. Frank t-norm is chosen since it has the same mathematical properties as a generalized product in IFS-IBA framework. Furthermore, the proposed IFS-IBA LA approach incorporates guidelines for factor normalization, I-fuzzification, logical expression modeling and aggregation. The main applicative benefits of the proposed IFS-IBA LA approach are illustrated in the example of ranking gifted students.

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Acknowledgements

This study was supported by University of Belgrade - Faculty of Organizational Sciences.

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Authors and Affiliations

  1. Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia

    Pavle Milošević, Ivana Dragović, Milica Zukanović, Ana Poledica & Bratislav Petrović

Authors
  1. Pavle Milošević
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  2. Ivana Dragović
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  3. Milica Zukanović
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  4. Ana Poledica
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  5. Bratislav Petrović
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Correspondence to Pavle Milošević .

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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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Milošević, P., Dragović, I., Zukanović, M., Poledica, A., Petrović, B. (2023). IFS-IBA Logical Aggregation with Frank t-norms. 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_9

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  • DOI: https://doi.org/10.1007/978-3-031-39965-7_9

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  • Online ISBN: 978-3-031-39965-7

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