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