Document Type: Original Manuscript
Authors
1 Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
2 Faculty of Basic Sciences, Birjand University of technology Birjand, Iran.
Abstract
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.
Keywords