Construction of Nullnorms Based on Closure and Interior Operators on Bounded Lattices

In this paper, we introduce two rather effective methods for constructing new families of nullnorms with a zero element on the basis of the closure operators and interior operators on a bounded lattice under some additional conditions. Our constructions can be seen as a generalization of the ones in...

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Autor principal: Çaylı, Gül Deniz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274671/
http://dx.doi.org/10.1007/978-3-030-50143-3_37
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author Çaylı, Gül Deniz
author_facet Çaylı, Gül Deniz
author_sort Çaylı, Gül Deniz
collection PubMed
description In this paper, we introduce two rather effective methods for constructing new families of nullnorms with a zero element on the basis of the closure operators and interior operators on a bounded lattice under some additional conditions. Our constructions can be seen as a generalization of the ones in [28]. As a by-product, two types of idempotent nullnorms on bounded lattices are obtained. Several interesting examples are included to get a better understanding of the structure of new families of nullnorms.
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spelling pubmed-72746712020-06-08 Construction of Nullnorms Based on Closure and Interior Operators on Bounded Lattices Çaylı, Gül Deniz Information Processing and Management of Uncertainty in Knowledge-Based Systems Article In this paper, we introduce two rather effective methods for constructing new families of nullnorms with a zero element on the basis of the closure operators and interior operators on a bounded lattice under some additional conditions. Our constructions can be seen as a generalization of the ones in [28]. As a by-product, two types of idempotent nullnorms on bounded lattices are obtained. Several interesting examples are included to get a better understanding of the structure of new families of nullnorms. 2020-05-15 /pmc/articles/PMC7274671/ http://dx.doi.org/10.1007/978-3-030-50143-3_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
Çaylı, Gül Deniz
Construction of Nullnorms Based on Closure and Interior Operators on Bounded Lattices
title Construction of Nullnorms Based on Closure and Interior Operators on Bounded Lattices
title_full Construction of Nullnorms Based on Closure and Interior Operators on Bounded Lattices
title_fullStr Construction of Nullnorms Based on Closure and Interior Operators on Bounded Lattices
title_full_unstemmed Construction of Nullnorms Based on Closure and Interior Operators on Bounded Lattices
title_short Construction of Nullnorms Based on Closure and Interior Operators on Bounded Lattices
title_sort construction of nullnorms based on closure and interior operators on bounded lattices
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274671/
http://dx.doi.org/10.1007/978-3-030-50143-3_37
work_keys_str_mv AT caylıguldeniz constructionofnullnormsbasedonclosureandinterioroperatorsonboundedlattices

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