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Título: | On the representation of (weak) nilpotent minimum algebras |
Autor: | Flaminio, Tommaso CSIC ORCID ; Rivieccio, Umberto; Nascimiento, Thiago | Fecha de publicación: | 19-jul-2020 | Citación: | On the representation of (weak) nilpotent minimum algebras. 29th IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2020, Glasgow, UK, July 19-24, 2020 (pp. 1--8). IEEE. | Resumen: | We take a glimpse at the relation between WNM- algebras (algebraic models of the well-known Weak Nilpotent Minimum logic) and quasi-Nelson algebras, a non-involutive generalisation of Nelson algebras (models of Nelson¿s constructive logic with strong negation) that was introduced in a recent paper. We show that the two varieties can be related via the twist-structure construction, obtaining a new representation for a subvariety of WNM-algebras that includes the involutive ones (i.e. NM-algebras). Our results imply, in particular, that every pre-linear quasi-Nelson algebra is a WNM-algebra; we thus generalize the known result that the class of pre-linear Nelson algebras coincides with that of NM-algebras (models of Nilpotent Minimum logic). | Versión del editor: | http://dx.doi.org/10.1109/FUZZ48607.2020 | URI: | http://hdl.handle.net/10261/235676 | DOI: | 10.1109/FUZZ48607.2020 | Identificadores: | doi: 10.1109/FUZZ48607.2020 |
Aparece en las colecciones: | (IIIA) Comunicaciones congresos |
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