Document Type : Research Paper

Authors

• Xiaohong Zhang ¹
• Hee Sik Kim ²
• Joseph Neggers ³

¹ College of Arts and Sciences Shanghai Maritime University, China

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

³ Department of Mathematics University of Alabama, USA

Abstract

In this paper, given a poset $(X,\le )$, we introduce some  drifts on a groupoid $(X,\ast )$ with respect to $(X,\le )$, 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.

Keywords

• $Bin(X)$
• (strong
• oriented
• positive
• strict) upward drift
• selective
• $BCK$-algebra
• fuzzy subalgebra