On fuzzy neighborhood rings

We introduce the concept of fuzzy neighborhood rings. We give necessary and sufficient conditions for a ring structure and a fuzzy neighborhood system to be compatible. We also give necessary and sufficient conditions for a prefilter to be a neighborhood prefilter of 0 in a fuzzy neighborhood rings....

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Veröffentlicht in:	Fuzzy sets and systems 1990-01, Vol.34 (2), p.255-262
Hauptverfasser:	Ahsanullah, T.M.G., Ganguly, Sobhakar
Format:	Artikel
Sprache:	eng
Schlagworte:	bounded fuzzy set fuzzy neighborhood group fuzzy neighborhood ring Fuzzy neighborhood system precompactness
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Beschreibung
Zusammenfassung:	We introduce the concept of fuzzy neighborhood rings. We give necessary and sufficient conditions for a ring structure and a fuzzy neighborhood system to be compatible. We also give necessary and sufficient conditions for a prefilter to be a neighborhood prefilter of 0 in a fuzzy neighborhood rings. The notion of bounded fuzzy set is introduced in fuzzy neighborhood rings and some results in this context are provided.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/0165-0114(90)90164-2