Some finitary constructions on inflationary BL-algebras and their properties

• Autores: José Ronaldo, Rui Eduardo Brasileiro Paiva, Benjamín Bedregal
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 28, Nº. 1, 2023, págs. 40-55
• Idioma: inglés
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• Resumen

  • Recently, in the article “Inflationary BL-algebras obtained from 2-dimensional general overlap functions”, published in Fuzzy Sets and Systems, Paiva et al. proposed a new generalization of BL-algebras dropping the requirements of associativity and existence of the neutral element for the fuzzy conjunction. Such a generalization was called inflationary BL-algebras. In this paper, we continue to consider this research topic and focus on operations of direct product, separated sum, and lifting for inflationary BL-algebras, as well as exploring some properties of these finitary constructions

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