Associativeness versus recursiveness

Absikact-Fuzzy connectives use to be assumed associative. In this way, key operational difficulties are solved by means of a single binary operator. In this paper we point out that the main property in order to assure operativeness should be recurszveness, which is weaker than associativity. If calc...

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Detalles Bibliográficos
Autores: Cutello, Vincenzo, Montero De Juan, Francisco Javier, Molina Ferragut, Elisenda
Tipo de recurso: capítulo de libro
Fecha de publicación:1996
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/60888
Acceso en línea:https://hdl.handle.net/20.500.14352/60888
Access Level:acceso abierto
Palabra clave:510.64
Formal logic
Fuzzy set theory
Recursive functions
Lógica simbólica y matemática (Matemáticas)
1102.14 Lógica Simbólica
Descripción
Sumario:Absikact-Fuzzy connectives use to be assumed associative. In this way, key operational difficulties are solved by means of a single binary operator. In this paper we point out that the main property in order to assure operativeness should be recurszveness, which is weaker than associativity. If calculus can be obtained by means of a recursive application of a sequence of binary connectives, we still can develop operative models. It is then clearly seen that a fuzzy rule should be always understood as a family of fuzzy connectives.