ON FUZZY QUOTIENT BCK-ALGEBRAS
In this paper, by considering the concept of fuzzy congruence in some alge-braic structures, we specially study fuzzy congruence in BCK-algebras. We prove that there is a bijection between the set of fuzzy ideals and the set of fuzzy congruences in BCK-algebras. Then we show that for each fuzzy ideal , there is an associated algebra X= that is a BCK-algebra. Also, we obtain a congruence relation on a BCK-algebra by fuzzy ideals.
Keywords:
BCK-algebra, Fuzzy ideal Fuzzy congruence..,
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- ISSN: 2146-1147
- Başlangıç: 2010
- Yayıncı: Turkic World Mathematical Society
Sayıdaki Diğer Makaleler
M. UNVER, G. OZCELİK, M. OLGUN
U. V. C. KUMAR, R. MURALİ, A. GİRİSHA
K. R. AİDA-ZADE, V. M. ABDULLAYEV
R. LASHKARİPOUR, H. BAGHANİ, Z. AHMADİ
S. GUMGUM, N. B. SAVASANERİL, O. K. KURKCU, M. SEZER
K. DOGAN, F. GURSOY, V. KARAKAYA