Document Type : Original Manuscript
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.
In this paper, we define fuzzy subnexuses over a nexus $N$.
Define and study the notions of the prime fuzzy subnexuses and the fractions
induced by them.
Finally, we show that if S is a meet
closed subset of the set Fsub(N), of fuzzy subnexuses of a nexus N, and
h= ⋀S ϵ S, then the fractions S^-1 N and h^-1 N are isomorphic as meet-semilattices.