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Some Properties of the Left Recursive Form of the Convex Combination Linguistic Aggregator

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Flexible Query Answering Systems (FQAS 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14113))

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Abstract

The Left Recursive Form of the Convex Combination (CONV–LRF) is a linguistic aggregation operator which has been recently proposed in the framework of fuzzy ontology learning. The objective of this paper is to study some properties of the operator, namely commutativity, smoothness, internality, monotonicity, and orness. Our results show that, contrary to what preliminary experiments suggested, CONV–LRF has a similar orness that the Right Recursive Form (CONV–RRF).

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Notes

  1. 1.

    CONV–LRF, CONV–RRF, CONV–RRF, LOWA–RRF, WMEAN, and FOWA.

  2. 2.

    http://webdiis.unizar.es/~ihvdis/Fudge.html.

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Acknowledgments

I. Huitzil was supported by the Italian MUR under the PRIN project PINPOINT Prot. 2020FNEB27, CUP H45E21000210001. F. Bobillo was supported by the I+D+i project PID2020-113903RB-I00, funded by MCIN/AEI/10.13039/501100011033, and by DGA/FEDER. We are also grateful to Carlos Bobed and Jordi Bernad for their help to improve data visualization.

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Authors and Affiliations

  1. IKR3 Laboratory, University of Milano-Bicocca, Milano, Italy

    Ignacio Huitzil

  2. University of Zaragoza, Zaragoza, Spain

    Fernando Bobillo

  3. Aragon Institute of Engineering Research (I3A), Zaragoza, Spain

    Fernando Bobillo

Authors
  1. Ignacio Huitzil
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  2. Fernando Bobillo
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Correspondence to Fernando Bobillo .

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Editors and Affiliations

  1. Legind Technologies, Esbjerg V, Denmark

    Henrik Legind Larsen

  2. University of Granada, Granada, Spain

    Maria J. Martin-Bautista

  3. University of Granada, Granada, Spain

    M. Dolores Ruiz

  4. Roskilde University, Roskilde, Denmark

    Troels Andreasen

  5. Consiglio Nazionale delle Ricerche, Milano, Italy

    Gloria Bordogna

  6. Ghent University, Gent, Belgium

    Guy De Tré

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Huitzil, I., Bobillo, F. (2023). Some Properties of the Left Recursive Form of the Convex Combination Linguistic Aggregator. In: Larsen, H.L., Martin-Bautista, M.J., Ruiz, M.D., Andreasen, T., Bordogna, G., De Tré, G. (eds) Flexible Query Answering Systems. FQAS 2023. Lecture Notes in Computer Science(), vol 14113. Springer, Cham. https://doi.org/10.1007/978-3-031-42935-4_5

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  • DOI: https://doi.org/10.1007/978-3-031-42935-4_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-42934-7

  • Online ISBN: 978-3-031-42935-4

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