Interval subsethood measures with respect to uncertainty for the interval-valued fuzzy setting

In this paper, the problem of measuring the degree of subsethood in the interval-valued fuzzy setting is addressed. Taking into account the widths of the intervals, two types of interval subsethood measures are proposed. Additionally, their relation and main properties are studied. These development...

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Detalles Bibliográficos
Autores: Pekala, Barbara, Bentkowska, Urszula, Sesma Sara, Mikel, Fernández Fernández, Francisco Javier, Lafuente López, Julio, Altalhi, A. H., Knap, Maksymilian, Bustince Sola, Humberto, Pintor Borobia, Jesús María
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
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:2454/37301
Acceso en línea:https://hdl.handle.net/2454/37301
Access Level:acceso abierto
Palabra clave:Aggregation function
Interval-valued fuzzy set
Subsethood measure
Descripción
Sumario:In this paper, the problem of measuring the degree of subsethood in the interval-valued fuzzy setting is addressed. Taking into account the widths of the intervals, two types of interval subsethood measures are proposed. Additionally, their relation and main properties are studied. These developments are made both with respect to the regular partial order of intervals and with respect to admissible orders. Finally, some construction methods of the introduced interval subsethood measures with the use interval-valued aggregation functions are examined.