title: Fuzzy upper bounds in groupoids.
abstract: The notion of a fuzzy upper bound over a groupoid is introduced and some properties of it are investigated. We also define the notions of an either-or subset of a groupoid and a strong either-or subset of a groupoid and study some of their related properties. In particular, we consider fuzzy upper bounds in Bin(X), where Bin(X) is the collection of all groupoids. Finally, we define a fuzzy-d-subset of a groupoid and investigate some of its properties.
authors: Department of Mathematics Education, Dongguk University, Seoul 100-715, Republic of Korea.
authors: Sun Shin
authors: SS
authors: Ahn
authors: Department of Mathematics, Chungbuk National University, Cheongju 361-763, Republic of Korea.
authors: Young Hee
authors: YH
authors: Kim
authors: Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA.
authors: J
authors: J
authors: Neggers
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical