title: On abelian and related fuzzy subsets of groupoids.
abstract: We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated.
authors.affiliation: Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA.
authors.forename: Seung Joon
authors.initials: SJ
authors.lastname: Shin
authors.forename: Hee Sik
authors.initials: HS
authors.lastname: Kim
authors.forename: J
authors.initials: J
authors.lastname: Neggers
mesh_terms: D017143:Fuzzy Logic; D008433:Mathematics / Q000379:methods*; D008962:Models, Theoretical