Fuzzy neighborhood structures on partially ordered groups

Ahsanullah (1988) showed the compatibility between group structures and I-fuzzy neighborhood systems. In this paper, we require not only that the I-fuzzy neighborhood systems be compatible with the group structures, but also compatible with the order relation, in one sense or another.

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Main Authors: Kamel El-Saady, M. Y. Bakier
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202007913
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author Kamel El-Saady
M. Y. Bakier
author_facet Kamel El-Saady
M. Y. Bakier
author_sort Kamel El-Saady
collection DOAJ
description Ahsanullah (1988) showed the compatibility between group structures and I-fuzzy neighborhood systems. In this paper, we require not only that the I-fuzzy neighborhood systems be compatible with the group structures, but also compatible with the order relation, in one sense or another.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2002-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-299acef5c38e45d7a79473cd88a794022025-02-03T01:07:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131635936510.1155/S0161171202007913Fuzzy neighborhood structures on partially ordered groupsKamel El-Saady0M. Y. Bakier1Mathematics Department, Faculty of Science, South Valley University, Qena 83523, EgyptMathematics Department, Faculty of Science, Assiut University, Assiut, EgyptAhsanullah (1988) showed the compatibility between group structures and I-fuzzy neighborhood systems. In this paper, we require not only that the I-fuzzy neighborhood systems be compatible with the group structures, but also compatible with the order relation, in one sense or another.http://dx.doi.org/10.1155/S0161171202007913
spellingShingle Kamel El-Saady
M. Y. Bakier
Fuzzy neighborhood structures on partially ordered groups
International Journal of Mathematics and Mathematical Sciences
title Fuzzy neighborhood structures on partially ordered groups
title_full Fuzzy neighborhood structures on partially ordered groups
title_fullStr Fuzzy neighborhood structures on partially ordered groups
title_full_unstemmed Fuzzy neighborhood structures on partially ordered groups
title_short Fuzzy neighborhood structures on partially ordered groups
title_sort fuzzy neighborhood structures on partially ordered groups
url http://dx.doi.org/10.1155/S0161171202007913
work_keys_str_mv AT kamelelsaady fuzzyneighborhoodstructuresonpartiallyorderedgroups
AT mybakier fuzzyneighborhoodstructuresonpartiallyorderedgroups