OWA Operators in Generalized Distances

Different types of aggregation operators such as the ordered weighted quasi-arithmetic mean (Quasi-OWA) operator and the normalized Hamming distance are studied. We introduce the use of the OWA operator in generalized distances such as the quasi-arithmetic distance. We will call these new distance a...

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Detalles Bibliográficos
Autores: Gil Lafuente, Anna Maria, Merigó Lindahl, José M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/69566
Acceso en línea:https://hdl.handle.net/2445/69566
Access Level:acceso abierto
Palabra clave:Economia d'empresa
Direcció d'empreses
Presa de decisions
Teoria d'operadors
Managerial economics
Industrial management
Decision making
Operator theory
Descripción
Sumario:Different types of aggregation operators such as the ordered weighted quasi-arithmetic mean (Quasi-OWA) operator and the normalized Hamming distance are studied. We introduce the use of the OWA operator in generalized distances such as the quasi-arithmetic distance. We will call these new distance aggregation the ordered weighted quasi-arithmetic distance (Quasi-OWAD) operator. We develop a general overview of this type of generalization and study some of their main properties such as the distinction between descending and ascending orders. We also consider different families of Quasi-OWAD operators such as the Minkowski ordered weighted averaging distance (MOWAD) operator, the ordered weighted averaging distance (OWAD) operator, the Euclidean ordered weighted averaging distance (EOWAD) operator, the normalized quasi-arithmetic distance, etc