Scores of hesitant fuzzy elements revisited: "Was sind und was sollen"
Consultable a partir de
2025-11-01
Fecha
2023Autor
Versión
Acceso embargado / Sarbidea bahitua dago
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
Impacto
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10.1016/j.ins.2023.119500
Resumen
This paper revolves around the notion of score for hesitant fuzzy elements, the constituent parts of hesitant fuzzy sets. Scores allow us to reduce the level of uncertainty of hesitant fuzzy sets to classical fuzzy sets, or to rank alternatives characterized by hesitant fuzzy information. We propose a rigorous and normative definition capable of encapsulating the characteristics of the most impor ...
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This paper revolves around the notion of score for hesitant fuzzy elements, the constituent parts of hesitant fuzzy sets. Scores allow us to reduce the level of uncertainty of hesitant fuzzy sets to classical fuzzy sets, or to rank alternatives characterized by hesitant fuzzy information. We propose a rigorous and normative definition capable of encapsulating the characteristics of the most important scores introduced in the literature. We systematically analyse different types of scores, with a focus on coherence properties based on cardinality and monotonicity. The hesitant fuzzy elements considered in this analysis are unrestricted. The inspection of the infinite case is especially novel. In particular, special attention will be paid to the analysis of hesitant fuzzy elements that are intervals. [--]
Materias
Hesitant fuzzy elements,
Hesitant fuzzy sets,
Scores
Editor
Elsevier
Publicado en
Information Sciences 648 (2023) 119500
Departamento
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute for Advanced Materials and Mathematics - INAMAT2 /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute for Advanced Research in Business and Economics - INARBE
Versión del editor
Entidades Financiadoras
This work has been partially supported by the research project whose reference is PID2019-108392GB-I00 (AEI/10.13039/501100011033). Alcantud is grateful to Junta de Castilla y León and the European Regional Development Fund (Grant CLU-2019-03) for financial support to the Research Unit of Excellence “Economic Management for Sustainability” (GECOS).