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A Fuzzy Grammar for Evaluating Universality and Complexity 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.)

  • María Dolores Jiménez-López

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

  • Antoni Brosa-Rodríguez

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

  • David Adamczyk

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

Abstract

The paper focuses on linguistic complexity and language universals, which are two important and controversial issues in language research. A Fuzzy Property Grammar for determining the degree of universality and complexity of a natural language is introduced. In this task, the Fuzzy Property Grammar operated only with syntactic constraints. Fuzzy Natural Logic sets the fundamentals to express the notions of universality and complexity as evaluative expressions. The Fuzzy Property Grammar computes the constraints in terms of weights of universality and calculates relative complexity. We present a proof-of-concept in which we have generated a grammar with 42B syntactic constraints. The model classifies constraints in terms of low, medium, and high universality and complexity. Degrees of relative complexity in terms of similarity from a correlation matrix have been obtained. The results show that the architecture of a Universal Fuzzy Property Grammar is flexible, reusable, and re-trainable, and it can easily take into account new sets of languages, perfecting the degree of universality and complexity of the linguistic constraints as well as the degree of complexity between languages.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2602-:d:871876
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    Citations

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    Cited by:

    1. Vilém Novák & Antonín Dvořák, 2022. "Preface to the Special Issue on “Fuzzy Natural Logic in IFSA-EUSFLAT 2021”," Mathematics, MDPI, vol. 10(22), pages 1-3, November.
    2. 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.

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