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Fuzzy Property Grammars for Gradience in Natural Language

Author

Listed:
  • Adrià Torrens-Urrutia

    (Research Group on Mathematical Linguistics (GRLMC), Universitat Rovira i Virgili, 43002 Tarragona, Spain
    These authors contributed equally to this work.)

  • Vilém Novák

    (Institute for Research and Applications of Fuzzy Modeling (IRAFM), University of Ostrava, 701 03 Ostrava, Czech Republic
    These authors contributed equally to this work.)

  • María Dolores Jiménez-López

    (Research Group on Mathematical Linguistics (GRLMC), Universitat Rovira i Virgili, 43002 Tarragona, Spain
    These authors contributed equally to this work.)

Abstract

This paper introduces a new grammatical framework, Fuzzy Property Grammars (FPGr). This is a model based on Property Grammars and Fuzzy Natural Logic. Such grammatical framework is constraint-based and provides a new way to formally characterize gradience by representing grammaticality degrees regarding linguistic competence (without involving speakers judgments). The paper provides a formal-logical characterization of FPGr. A test of the framework is presented by implementing an FPGr for Spanish. FPGr is a formal theory that may serve linguists, computing scientists, and mathematicians since it can capture infinite grammatical structures within the variability of a language.

Suggested Citation

  • Adrià Torrens-Urrutia & Vilém Novák & María Dolores Jiménez-López, 2023. "Fuzzy Property Grammars for Gradience in Natural Language," Mathematics, MDPI, vol. 11(3), pages 1-36, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:735-:d:1053761
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    References listed on IDEAS

    as
    1. Adrià Torrens-Urrutia & Vilém Novák & María Dolores Jiménez-López, 2022. "Describing Linguistic Vagueness of Evaluative Expressions Using Fuzzy Natural Logic and Linguistic Constraints," Mathematics, MDPI, vol. 10(15), pages 1-24, August.
    2. Adrià Torrens-Urrutia & María Dolores Jiménez-López & Antoni Brosa-Rodríguez & David Adamczyk, 2022. "A Fuzzy Grammar for Evaluating Universality and Complexity in Natural Language," Mathematics, MDPI, vol. 10(15), pages 1-23, July.
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