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Induced triangular norms and negations on bounded lattices
dc.contributor.author | Lobillo Borrero, Francisco Javier | |
dc.contributor.author | Navarro Garulo, Gabriel | |
dc.contributor.author | Merino González, Luis Miguel | |
dc.contributor.author | Santos Aláez, Evangelina | |
dc.date.accessioned | 2024-09-05T06:58:11Z | |
dc.date.available | 2024-09-05T06:58:11Z | |
dc.date.issued | 2021-07 | |
dc.identifier.citation | IEEE Transactions on Fuzzy Systems, vol. 29, no. 7, pp. 1802-1814 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/93952 | |
dc.description.abstract | Some relevant notions in fuzzy set theory are those of triangular norm and conorm, and negation, which provide a systematic way of defining set-theoretic operations or, from other point of view, logical connectives. For instance, the majority of fuzzy implications are directly derived from these operators, so they play a prominent role in fuzzy control theory or in approximate reasoning. This incites the search of suitable t-norms, t-conorms and negations for solving each specific problem. In this paper we propose a procedure, that we call induction, for designing them on spaces of lattice-valued maps. Concretely, for each family of operators (t-norms, t-conorms or negations) indexed in the domain set, we may induce an operator of the same kind, so that our method offers a great flexibility in the design task. It may be applied to well-known fuzzy objects as interval-valued or type-2 fuzzy sets. Nevertheless, the theory is formally developed for arbitrary bounded lattices. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | IEEE | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lattices | es_ES |
dc.subject | Fuzzy sets | es_ES |
dc.subject | negation | es_ES |
dc.subject | triangular norm-conorm | es_ES |
dc.title | Induced triangular norms and negations on bounded lattices | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1109/TFUZZ.2020.2985337 | |
dc.type.hasVersion | AM | es_ES |