Characterization of fuzzy neighborhood commutative division rings II

In [4] we produced a characterization of fuzzy neighborhood commutative division rings; here we present another characterization of it in a sense that we minimize the conditions so that a fuzzy neighborhood system is compatible with the commutative division ring structure. As an additional result, w...

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Main Authors: T. M. G. Ahsanullah, Fawzi A. Al-Thukair
Format: Article
Language:English
Published: Hindawi Limited 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129500041X
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spelling doaj-7a155655163c46239edd84d0525e48eb2020-11-24T22:38:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118232333010.1155/S016117129500041XCharacterization of fuzzy neighborhood commutative division rings IIT. M. G. Ahsanullah0Fawzi A. Al-Thukair1Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn [4] we produced a characterization of fuzzy neighborhood commutative division rings; here we present another characterization of it in a sense that we minimize the conditions so that a fuzzy neighborhood system is compatible with the commutative division ring structure. As an additional result, we show that Chadwick [5] relatively compact fuzzy set is bounded in a fuzzy neighborhood commutative division ring.http://dx.doi.org/10.1155/S016117129500041Xfuzzy neighborhood systemfuzzy neighborhood ringfuzzy neighborhood commutative division ringrelatively compact fuzzy setbounded fuzzy set.
collection DOAJ
language English
format Article
sources DOAJ
author T. M. G. Ahsanullah
Fawzi A. Al-Thukair
spellingShingle T. M. G. Ahsanullah
Fawzi A. Al-Thukair
Characterization of fuzzy neighborhood commutative division rings II
International Journal of Mathematics and Mathematical Sciences
fuzzy neighborhood system
fuzzy neighborhood ring
fuzzy neighborhood commutative division ring
relatively compact fuzzy set
bounded fuzzy set.
author_facet T. M. G. Ahsanullah
Fawzi A. Al-Thukair
author_sort T. M. G. Ahsanullah
title Characterization of fuzzy neighborhood commutative division rings II
title_short Characterization of fuzzy neighborhood commutative division rings II
title_full Characterization of fuzzy neighborhood commutative division rings II
title_fullStr Characterization of fuzzy neighborhood commutative division rings II
title_full_unstemmed Characterization of fuzzy neighborhood commutative division rings II
title_sort characterization of fuzzy neighborhood commutative division rings ii
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1995-01-01
description In [4] we produced a characterization of fuzzy neighborhood commutative division rings; here we present another characterization of it in a sense that we minimize the conditions so that a fuzzy neighborhood system is compatible with the commutative division ring structure. As an additional result, we show that Chadwick [5] relatively compact fuzzy set is bounded in a fuzzy neighborhood commutative division ring.
topic fuzzy neighborhood system
fuzzy neighborhood ring
fuzzy neighborhood commutative division ring
relatively compact fuzzy set
bounded fuzzy set.
url http://dx.doi.org/10.1155/S016117129500041X
work_keys_str_mv AT tmgahsanullah characterizationoffuzzyneighborhoodcommutativedivisionringsii
AT fawziaalthukair characterizationoffuzzyneighborhoodcommutativedivisionringsii
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