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

  • Identification data

    Identifier: imarina:9333731
    Authors:
    Brosa-Rodríguez AJiménez-López MDTorrens-Urrutia A
    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:

    Author, as appears in the article.: Brosa-Rodríguez A; Jiménez-López MD; Torrens-Urrutia A
    Department: Filologies Romàniques
    URV's Author/s: Jiménez López, María Dolores
    Keywords: Evaluative expressions Fuzzy grammar Linguistic complexity Linguistic constraints Linguistic gradience Linguistic universals
    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.
    Thematic Areas: General mathematics Mathematics Mathematics (all) Mathematics (miscellaneous) Mathematics, applied
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: mariadolores.jimenez@urv.cat
    Author identifier: 0000-0001-5544-3210
    Record's date: 2024-01-13
    Papper version: info:eu-repo/semantics/publishedVersion
    Papper original source: Aims Mathematics. 9 (1): 2181-2214
    APA: Brosa-Rodríguez A; Jiménez-López MD; Torrens-Urrutia A (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
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2024
    Publication Type: Journal Publications
  • Keywords:

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