Method of least squares applied to the generalized modus ponens with interval-valued fuzzy sets

Firstly we present a geometric interpretation of interval-valued fuzzy sets. Secondly, we apply the method of least squares to the fuzzy inference rules when working with these sets. We begin approximating the lower and upper extremes of the membership intervals to axb type functions by means of the...

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Detalles Bibliográficos
Autores: Agustench Cotilla, Eduard, Bustince Sola, Humberto Nicanor, Mohedano Salillas, Mª Victoria
Tipo de recurso: artículo
Fecha de publicación:1999
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/3558
Acceso en línea:https://hdl.handle.net/2099/3558
Access Level:acceso abierto
Palabra clave:Approximate reasoning
Fuzzy inference rules
Generalized modus ponens
Interval-valued fuzzy set
Method of least squares
Intel·ligència artificial
Classificació AMS::68 Computer science::68T Artificial intelligence
Descripción
Sumario:Firstly we present a geometric interpretation of interval-valued fuzzy sets. Secondly, we apply the method of least squares to the fuzzy inference rules when working with these sets. We begin approximating the lower and upper extremes of the membership intervals to axb type functions by means of the method of least squares. Then we analyze a technique for evaluating the conclusion of the generalized modus ponens and we verify the fulfillment of Fukami and alumni axioms [9].