(┬,┴,N) Fuzzy logic

To investigate more reasonable fuzzy reasoning model in expert systems as well as more effective logical circuit in fuzzy control, a $(\top, \bot, N)$ fuzzy logic is proposed in this paper by using $\top$-norm, $\bot$-norm and pseudo-complement $N$ as the logical connectives. Two aspects are discuss...

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Detalhes bibliográficos
Autores: Xu, Y., Liu, J., Ruan, Da
Formato: artículo
Fecha de publicación:2001
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/3597
Acesso em linha:https://hdl.handle.net/2099/3597
Access Level:acceso abierto
Palavra-chave:(┬,┴,N) fuzzy logic
┬-phrase
┴-sentence
┬(┴)-normal form
G-fuzzy truth (falsity)
Lògica matemàtica
Classificació AMS::03 Mathematical logic and foundations::03B General logic
Descrição
Resumo:To investigate more reasonable fuzzy reasoning model in expert systems as well as more effective logical circuit in fuzzy control, a $(\top, \bot, N)$ fuzzy logic is proposed in this paper by using $\top$-norm, $\bot$-norm and pseudo-complement $N$ as the logical connectives. Two aspects are discussed: (1) some concepts of ($\top, \bot, N)$ fuzzy logic are introduced and some properties of ($\top, \bot, N)$ fuzzy logical formulae are discussed. (2) $G$-fuzzy truth (falsity) of $(\top, \bot, N)$ fuzzy logical formulae are investigated and also the relation between the Boolean truth (falsity) of $\bot$-normal forms ($\top$-normal forms) and the $G$-fuzzy truth (falsity) of them are analyzed.\