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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Format: | Article |
Language: | English |
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Wiley
2006-01-01
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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. |
format | Article |
id | doaj-art-8422eef1e62e4e1388ba7b81726d8234 |
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 |