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Exploring the complexity of natural languages: A fuzzy evaluative perspective on Greenberg universals

  • Identification data

    Identifier:  imarina:9366495
    Authors:  Brosa-Rodriguez, Antoni; Jimenez-Lopez, Dolores; Torrens-Urrutia, Adria
    Abstract:
    In this paper, we introduced a fuzzy model for calculating complexity based on universality, aiming to measure the complexity of natural languages in terms of the degree of universality exhibited in their rules. We validated the model by conducting experiments on a corpus of 143 languages obtained from Universal Dependencies 2.11. To formalize the linguistic universals proposed by Greenberg, we employed the Grew tool to convert them into a formal rule representation. This formalization enables the verification of universals within the corpus. By analyzing the corpus, we extracted the occurrences of each universal in different languages. The obtained results were used to define a fuzzy model that quantifies the degree of universality and complexity of both the Greenberg universals and the languages themselves, employing the mathematical theory of evaluative expressions from fuzzy natural logic (FNL). Our analysis revealed an inversely proportional relationship between the degree of universality and the level of complexity observed in the languages. The implications of our findings extended to various applications in the theoretical analysis and computational treatment of languages. In addition, the proposed model offered insights into the nature of language complexity, providing a valuable framework for further research and exploration.
  • Others:

    Link to the original source: https://www.aimspress.com/article/doi/10.3934/math.2024109
    APA: Brosa-Rodriguez, Antoni; Jimenez-Lopez, Dolores; Torrens-Urrutia, Adria (2024). Exploring the complexity of natural languages: A fuzzy evaluative perspective on Greenberg universals. Aims Mathematics, 9(1), 2181-2214. DOI: 10.3934/math.2024109
    Paper original source: Aims Mathematics. 9 (1): 2181-2214
    Article's DOI: 10.3934/math.2024109
    Journal publication year: 2024
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/publishedVersion
    Record's date: 2025-02-19
    URV's Author/s: Brosa Rodríguez, Antoni / Jiménez López, María Dolores / Torrens Urrutia, Adrià
    Department: Filologies Romàniques
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    Author, as appears in the article.: Brosa-Rodriguez, Antoni; Jimenez-Lopez, Dolores; Torrens-Urrutia, Adria
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Mathematics, applied, Mathematics (miscellaneous), Mathematics (all), Mathematics, General mathematics
    Author's mail: adria.torrens@urv.cat, antoni.brosa@urv.cat, antoni.brosa@urv.cat, mariadolores.jimenez@urv.cat
  • Keywords:

    Logic
    Linguistic universals
    Linguistic gradience
    Linguistic constraints
    Linguistic complexity
    Fuzzy grammar
    Evaluative expressions
    Mathematics
    Mathematics (Miscellaneous)
    Applied
    Mathematics (all)
    General mathematics
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