Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets

Convexity is a very important property in many areas and the studies of this property are frequent. In this paper, we have extended the notion of convexity for interval-valued fuzzy sets based on different order between intervals. The considered orders are related and their behavior analyzed. In par...

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Detalles Bibliográficos
Autores principales: Huidobro, Pedro, Alonso, Pedro, Janiš, Vladimir, Montes, Susana
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274709/
http://dx.doi.org/10.1007/978-3-030-50153-2_37
Descripción
Sumario:Convexity is a very important property in many areas and the studies of this property are frequent. In this paper, we have extended the notion of convexity for interval-valued fuzzy sets based on different order between intervals. The considered orders are related and their behavior analyzed. In particular, we study the preservation of the convexity under intersections, where again the chosen order is essential. After this study, we can conclude the appropriate behavior of the admissible orders for this purpose.

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