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On fuzzy neighborhood rings
Journal article   Peer reviewed

On fuzzy neighborhood rings

T.M.G. Ahsanullah and Sobhakar Ganguly
Fuzzy sets and systems, Vol.34(2), pp.255-262
01/01/1990
DOI: https://doi.org/10.1016/0165-0114(90)90164-2

Abstract

bounded fuzzy set fuzzy neighborhood group fuzzy neighborhood ring Fuzzy neighborhood system precompactness
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.

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