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
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author Huidobro, Pedro
Alonso, Pedro
Janiš, Vladimir
Montes, Susana
author_facet Huidobro, Pedro
Alonso, Pedro
Janiš, Vladimir
Montes, Susana
author_sort Huidobro, Pedro
collection PubMed
description 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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spelling pubmed-72747092020-06-08 Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets Huidobro, Pedro Alonso, Pedro Janiš, Vladimir Montes, Susana Information Processing and Management of Uncertainty in Knowledge-Based Systems Article 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. 2020-05-16 /pmc/articles/PMC7274709/ http://dx.doi.org/10.1007/978-3-030-50153-2_37 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Huidobro, Pedro
Alonso, Pedro
Janiš, Vladimir
Montes, Susana
Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets
title Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets
title_full Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets
title_fullStr Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets
title_full_unstemmed Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets
title_short Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets
title_sort orders preserving convexity under intersections for interval-valued fuzzy sets
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274709/
http://dx.doi.org/10.1007/978-3-030-50153-2_37
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AT janisvladimir orderspreservingconvexityunderintersectionsforintervalvaluedfuzzysets
AT montessusana orderspreservingconvexityunderintersectionsforintervalvaluedfuzzysets

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