Weakly induced modifications of I-fuzzy topologies

The aim of this paper is to study weakly induced I-fuzzy topological spaces and weakly induced modifications of I-fuzzy topologies. We give two kinds of weakly induced I-fuzzy topologies for each I-fuzzy topology and prove that I-WIFTOP is a reflective and coreflective full subcategory of I-FTOP. We...

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Main Authors: Yueli Yue, Jinming Fang
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/71654
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author Yueli Yue
Jinming Fang
author_facet Yueli Yue
Jinming Fang
author_sort Yueli Yue
collection DOAJ
description The aim of this paper is to study weakly induced I-fuzzy topological spaces and weakly induced modifications of I-fuzzy topologies. We give two kinds of weakly induced I-fuzzy topologies for each I-fuzzy topology and prove that I-WIFTOP is a reflective and coreflective full subcategory of I-FTOP. We also discuss some relationships between several categories.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2006-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8422eef1e62e4e1388ba7b81726d82342025-02-03T07:25:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/7165471654Weakly induced modifications of I-fuzzy topologiesYueli Yue0Jinming Fang1Department of Mathematics, Ocean University of China, Qingdao 266071, ChinaDepartment of Mathematics, Ocean University of China, Qingdao 266071, ChinaThe aim of this paper is to study weakly induced I-fuzzy topological spaces and weakly induced modifications of I-fuzzy topologies. We give two kinds of weakly induced I-fuzzy topologies for each I-fuzzy topology and prove that I-WIFTOP is a reflective and coreflective full subcategory of I-FTOP. We also discuss some relationships between several categories.http://dx.doi.org/10.1155/IJMMS/2006/71654
spellingShingle Yueli Yue
Jinming Fang
Weakly induced modifications of I-fuzzy topologies
International Journal of Mathematics and Mathematical Sciences
title Weakly induced modifications of I-fuzzy topologies
title_full Weakly induced modifications of I-fuzzy topologies
title_fullStr Weakly induced modifications of I-fuzzy topologies
title_full_unstemmed Weakly induced modifications of I-fuzzy topologies
title_short Weakly induced modifications of I-fuzzy topologies
title_sort weakly induced modifications of i fuzzy topologies
url http://dx.doi.org/10.1155/IJMMS/2006/71654
work_keys_str_mv AT yueliyue weaklyinducedmodificationsofifuzzytopologies
AT jinmingfang weaklyinducedmodificationsofifuzzytopologies