Some drifts on posets and its application to fuzzy subalgebras

Document Type : Research Paper


1 College of Arts and Sciences Shanghai Maritime University

2 Research Institute for Natural Sci., Department of Mathematics, Hanyang University, Seoul, 04763, Korea

3 Department of Mathematics University of Alabama


In this paper, given a poset $(X,\leq)$, we introduce some  drifts on a groupoid $(X,*)$ with respect to $(X,\leq)$, and we obtain several properties of these drifts related to the notion of $Bin(X)$. We discuss some connections between fuzzy subalgebras and upward drifts.