In this paper, we introduce the notions of N- subalgebras and N-filters based on Smarandache CI-algebra and give a number of their properties. The relationship between N(Q; f)-subalgebras(filters) ...and N-subalgebras(filters) are also in- vestigated
Anti fuzzy filters of CI-algebras Borzooei, Rajab Ali; Borumand Saeid, Arsham; Rezaei, Akbar ...
Afrika mathematica,
12/2014, Letnik:
25, Številka:
4
Journal Article
Recenzirano
In this paper, we introduce the notion of anti fuzzy filter and study the
N
-subalgebra(filter) of
C
I
-algebra
X
. We prove that every anti fuzzy filter of
B
E
-algebra is an anti fuzzy subalgebra, ...but it is not valid in
C
I
-algebra. Finally, the notion of fuzzy translations and fuzzy extension of anti fuzzy filter in
C
I
-algebras are introduced. We show that every anti fuzzy filter can be as an anti fuzzy extension, but converse may not be true in general.
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