Introducing synchrony in fuzzy automata

This paper introduces a sort of automata and associated languages, often arising in modelling natural phenomena, in which both vagueness and simultaneity are taken as first class citizens. This requires a fuzzy semantics assigned to transitions and a precise notion of a synchronous product to enforc...

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Detalhes bibliográficos
Autor principal: Gomes, Leandro (author)
Outros Autores: Madeira, Alexandre (author), Barbosa, Luis Soares (author)
Formato: article
Idioma:eng
Publicado em: 2020
Assuntos:
Texto completo:http://hdl.handle.net/10773/28110
País:Portugal
Oai:oai:ria.ua.pt:10773/28110
Descrição
Resumo:This paper introduces a sort of automata and associated languages, often arising in modelling natural phenomena, in which both vagueness and simultaneity are taken as first class citizens. This requires a fuzzy semantics assigned to transitions and a precise notion of a synchronous product to enforce the simultaneous occurrence of actions. The expected relationships between automata and languages are revisited in this setting; in particular it is shown that any subset of a fuzzy synchronous language with the suitable signature forms a synchronous Kleene algebra.