CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACES

CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACES

G.Jäger [Compactness and connectedness as absolute properties in fuzzy topological spaces, Fuzzy sets and Systems 94(1998) 405-401] introduced a kind of (general) fuzzy topological space. In this paper, we propose a new kind of topological space in Šostak's sense, called Jäger-&#35...

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Autores principales: Jinming,Fang, Yuanmei,Guo
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2009
Materias:
Jäger-Šostak’s I-fuzzy topology
subspace
the degree of connectedness
absolute property
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000300002
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spelling oai:scielo:S0716-091720090003000022010-04-08CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACESJinming,FangYuanmei,Guo Jäger-Šostak’s I-fuzzy topology subspace the degree of connectedness absolute property G.Jäger [Compactness and connectedness as absolute properties in fuzzy topological spaces, Fuzzy sets and Systems 94(1998) 405-401] introduced a kind of (general) fuzzy topological space. In this paper, we propose a new kind of topological space in Šostak's sense, called Jäger-Šostak's I-fuzzy topological space, which reduced to Jäger's (general) fuzzy topological to two-valued logic. After that for each fuzzy subset of Jäger-Šostak's I-fuzzy topological space, we define a degree of connectedness, which overcome the deficit of study for the whole space a degree of being connected in public papers, and establish two characteristic theorems of the degree of being connectedness. Doing so we find that the degree of connectedness is an absolute property in Jäger- Šostak's I-fuzzy topology.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.28 n.3 20092009-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000300002en10.4067/S0716-09172009000300002
institution Scielo Chile
collection Scielo Chile
language English
topic Jäger-Šostak’s I-fuzzy topology
subspace
the degree of connectedness
absolute property
spellingShingle Jäger-Šostak’s I-fuzzy topology
subspace
the degree of connectedness
absolute property
Jinming,Fang
Yuanmei,Guo
CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACES
description G.Jäger [Compactness and connectedness as absolute properties in fuzzy topological spaces, Fuzzy sets and Systems 94(1998) 405-401] introduced a kind of (general) fuzzy topological space. In this paper, we propose a new kind of topological space in Šostak's sense, called Jäger-Šostak's I-fuzzy topological space, which reduced to Jäger's (general) fuzzy topological to two-valued logic. After that for each fuzzy subset of Jäger-Šostak's I-fuzzy topological space, we define a degree of connectedness, which overcome the deficit of study for the whole space a degree of being connected in public papers, and establish two characteristic theorems of the degree of being connectedness. Doing so we find that the degree of connectedness is an absolute property in Jäger- Šostak's I-fuzzy topology.
author Jinming,Fang
Yuanmei,Guo
author_facet Jinming,Fang
Yuanmei,Guo
author_sort Jinming,Fang
title CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACES
title_short CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACES
title_full CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACES
title_fullStr CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACES
title_full_unstemmed CONNECTEDNESS IN JÄGER - ŠOSTAK'S I-FUZZY TOPOLOGICAL SPACES
title_sort connectedness in jäger - Šostak's i-fuzzy topological spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2009
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000300002
work_keys_str_mv AT jinmingfang connectednessinjager352ostaksifuzzytopologicalspaces
AT yuanmeiguo connectednessinjager352ostaksifuzzytopologicalspaces
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