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A type of fuzzy ring
Authors:Hacı Aktaş  Naim Çağman
Affiliation:(1) Faculty of Science-Art, Department of Mathematics, Gaziosmanpaşa University, 60100 Tokat, Turkey
Abstract:
In this study, by the use of Yuan and Lee’s definition of the fuzzy group based on fuzzy binary operation we give a new kind of fuzzy ring. The concept of fuzzy subring, fuzzy ideal and fuzzy ring homomorphism are introduced, and we make a theoretical study their basic properties analogous to those of ordinary rings.
Keywords:Fuzzy binary relation  Fuzzy group  Fuzzy ring  Fuzzy subring  Fuzzy ideal
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