Compartir
Título
The semantics of N-soft sets, their applications, and a coda about three-way decision
Autor(es)
Materia
N-soft set
Aggregation
Three-way decision
Decision making
Multi-valued logic
Clasificación UNESCO
1102.08 Lógica Matemática
Fecha de publicación
2022
Editor
Elsevier
Citación
Alcantud, J. C. R. (2022). The semantics of N-soft sets, their applications, and a coda about three-way decision. Information Sciences, 606, 837-852. https://doi.org/10.1016/j.ins.2022.05.084
Resumen
This paper presents the first detailed analysis of the semantics of N-soft sets. The two benchmark semantics associated with soft sets are perfect fits for N-soft sets. We argue that N-soft sets allow for an utterly new interpretation in logical terms, whereby N-soft sets can be interpreted as a generalized form of incomplete soft sets. Applications include aggregation strategies for these settings. Finally, three-way decision models are designed with both a qualitative and a quantitative character. The first is based on the concepts of V-kernel, V-core and V-support. The second uses an extended form of cardinality that is reminiscent of the idea of scalar sigma-count as a proxy of the cardinality of a fuzzy set.
URI
ISSN
0020-0255
DOI
10.1016/j.ins.2022.05.084
Versión del editor
Colecciones
- BORDA. Artículos [32]