Some classes of divergence measures between fuzzy subsets and between fuzzy partitions

The aim of this paper is to present and study one important class of divergence measure between fuzzy subsets, and one important class of divergence measure between fuzzy partitions, each of them having some specific properties. In the first case, the divergence measure attempts to quantify the degr...

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Detalles Bibliográficos
Autores: Montes Rodríguez, Susana, Gil Álvarez, Pedro Angel
Tipo de recurso: artículo
Fecha de publicación:1998
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:2099/3529
Acceso en línea:https://hdl.handle.net/2099/3529
Access Level:acceso abierto
Palabra clave:Divergence measure
Local divergence
Fuzziness measure
Fuzzy partition
Conjunts, Teoria de
Classificació AMS::03 Mathematical logic and foundations::03E Set theory
Descripción
Sumario:The aim of this paper is to present and study one important class of divergence measure between fuzzy subsets, and one important class of divergence measure between fuzzy partitions, each of them having some specific properties. In the first case, the divergence measure attempts to quantify the degree of difference between two fuzzy subsets $\A$ and $\B$ by comparing the fuzziness of both $\A$ and $\B$ with the fuzziness of the intermediate fuzzy subset. In the second case, we use this divergence between subsets to measure the divergence between partitions.