On fuzzy neighborhood rings

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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container_title Fuzzy sets and systems
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creator Ahsanullah, T.M.G.
Ganguly, Sobhakar
description 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.
doi_str_mv 10.1016/0165-0114(90)90164-2
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subjects bounded fuzzy set
fuzzy neighborhood group
fuzzy neighborhood ring
Fuzzy neighborhood system
precompactness
title On fuzzy neighborhood rings
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