From type-(2,k) grouping indices to type-(2,k) Jaccard indices

In this work, we introduce the notion of grouping index for type-2 fuzzy sets as a measure of how far the union of two type-2 fuzzy sets over the same universe is from the total universe. We also show how we can extend the notion of the Jaccard index to the type-2 setting by means of type-2 grouping...

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Detalles Bibliográficos
Autores: Roldán López de Hierro, Antonio Francisco, Roldán, Concepción, Guerra Errea, Carlos, Fernández Fernández, Francisco Javier, Cruz, Anderson, Moraes, Ronei Marcos de, Bustince Sola, Humberto
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2025
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/53586
Acceso en línea:https://hdl.handle.net/2454/53586
Access Level:acceso embargado
Palabra clave:Fuzzy set
Type-2 fuzzy set
Grouping index
Overlap index
Jaccard index
Descripción
Sumario:In this work, we introduce the notion of grouping index for type-2 fuzzy sets as a measure of how far the union of two type-2 fuzzy sets over the same universe is from the total universe. We also show how we can extend the notion of the Jaccard index to the type-2 setting by means of type-2 grouping and overlap indexes.