title: |
Categories Related to Topology Viewed as Soft Sets |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 883 - 890 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Banu Pazar, Alexander Shostak, Halis Ayg¨ın |
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publication date: |
July 2011 |
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keywords: |
soft set, soft neighborhood set, Lfuzzifying soft neighborhood set, L-soft neighborhood set, L-fuzzy soft neighborhood set, topology. |
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abstract: |
D. Molodtsov (1999) introduced the concept of a
soft set as a new approach for modeling uncertainties. The aim of this work is to define special kinds
of soft sets, namely soft, L-fuzzifying soft, L-soft,
and L-fuzzy soft neighborhood sets and to use them
in order to give an alternative characterization of
categories related to topology: crisp topological,
L-topological, L-fuzzifying topological and L-fuzzy
topological spaces. |
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copyright: |
İ
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |