Volume 32 • Number 3 • 2009   • Ordered Semigroups Characterized by Their (∈, ∈ ∨ q)-Fuzzy Bi-Ideals Young Bae Jun, Asghar Khan and Muhammad Shabir Abstract. Using the idea of a quasi-coincedence of a fuzzy point with a fuzzy set, the concept of an (α, β)-fuzzy bi-ideal in ordered semigroups is introduced, which is a generalization of the concept of a fuzzy bi-ideal in ordered semigroups and some interesting characterizations theorems are obtained. A special attention is given to (∈, ∈ ∨ q)-fuzzy bi-ideals. 2000 Mathematics Subject Classification: 06F05, 20M12, 08A72. Full text: PDF