Fuzzy Property Grammars for Gradience in Natural Language

Adrià Torrens-Urrutia (), Vilém Novák and María Dolores Jiménez-López
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Adrià Torrens-Urrutia: Research Group on Mathematical Linguistics (GRLMC), Universitat Rovira i Virgili, 43002 Tarragona, Spain
Vilém Novák: Institute for Research and Applications of Fuzzy Modeling (IRAFM), University of Ostrava, 701 03 Ostrava, Czech Republic
María Dolores Jiménez-López: Research Group on Mathematical Linguistics (GRLMC), Universitat Rovira i Virgili, 43002 Tarragona, Spain

Mathematics, 2023, vol. 11, issue 3, 1-36

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.

Keywords: gradience; grammaticality; vagueness; fuzzy grammar (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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