A NEW NOTION OF SP-COMPACT L-FUZZY SETS

A new notion of SP-compactness is introduced in L-topological spaces by means of semi-preopen L-sets and their inequality, where L is a complete De Morgan algebra. This new notion does not depend on the structure of basis lattice L and L does not require any distributivity. This new notion implies s...

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Autor principal: ZHONG BAI,SHI
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2006
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300003
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spelling oai:scielo:S0716-091720060003000032007-03-21A NEW NOTION OF SP-COMPACT L-FUZZY SETSZHONG BAI,SHI L-topology semi-preopen L-set A new notion of SP-compactness is introduced in L-topological spaces by means of semi-preopen L-sets and their inequality, where L is a complete De Morgan algebra. This new notion does not depend on the structure of basis lattice L and L does not require any distributivity. This new notion implies semicompactness, hence it also implies compactness. This new notion is a good extension and it has many characterizations if L is completely distributive De Morgan algebrainfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.3 20062006-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300003en10.4067/S0716-09172006000300003
institution Scielo Chile
collection Scielo Chile
language English
topic L-topology
semi-preopen L-set
spellingShingle L-topology
semi-preopen L-set
ZHONG BAI,SHI
A NEW NOTION OF SP-COMPACT L-FUZZY SETS
description A new notion of SP-compactness is introduced in L-topological spaces by means of semi-preopen L-sets and their inequality, where L is a complete De Morgan algebra. This new notion does not depend on the structure of basis lattice L and L does not require any distributivity. This new notion implies semicompactness, hence it also implies compactness. This new notion is a good extension and it has many characterizations if L is completely distributive De Morgan algebra
author ZHONG BAI,SHI
author_facet ZHONG BAI,SHI
author_sort ZHONG BAI,SHI
title A NEW NOTION OF SP-COMPACT L-FUZZY SETS
title_short A NEW NOTION OF SP-COMPACT L-FUZZY SETS
title_full A NEW NOTION OF SP-COMPACT L-FUZZY SETS
title_fullStr A NEW NOTION OF SP-COMPACT L-FUZZY SETS
title_full_unstemmed A NEW NOTION OF SP-COMPACT L-FUZZY SETS
title_sort new notion of sp-compact l-fuzzy sets
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2006
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300003
work_keys_str_mv AT zhongbaishi anewnotionofspcompactlfuzzysets
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