Approximate children fuzzy automata over the product structure

The general problem of determinization of fuzzy automata over the product structure is unsolvable, which necessitates the use of approximate methods. This paper introduces a new approach to the approximate determinization of fuzzy finite automata by utilizing a transition to a different structure, k...

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Detalles Bibliográficos
Autores: Jancic, Zorana, González de Mendívil Moreno, José Ramón, Micic, Ivana, Ciric, Miroslav
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2026
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:dnet:academicae__::5cdac60f17af9fc3267aab9b14f8892c
Acceso en línea:https://hdl.handle.net/2454/56712
Access Level:acceso abierto
Palabra clave:Approximate simulation
Determinization
Fuzzy automata
Simulation
Descripción
Sumario:The general problem of determinization of fuzzy automata over the product structure is unsolvable, which necessitates the use of approximate methods. This paper introduces a new approach to the approximate determinization of fuzzy finite automata by utilizing a transition to a different structure, known as the truncated product structure. This structure is residuated and has a locally finite semiring reduct, which enables efficient computation. The proposed method constructs a so-called Children automaton and employs approximate weak simulations to achieve more effective determinization. In comparison to existing techniques, this approach significantly enhances the performance and precision of the resulting crisp-deterministic fuzzy automata.