%0 Journal Article %T Fuzzifying Bi-Ideals of Semigroups and Implication Operators %A H. Hedayati %A Z. Jafari %J Sel£¿uk Journal of Applied Mathematics %D 2011 %I Sel?uk University %X In this paper the notion of (¦Á,¦Â)-fuzzy bi-ideal of a semigroup is introduced and related properties are investigated. Also, the definition of implication operator in the Lukasiewicz system of continuous-valued logic for fuzzy bi-ideals is considered. In particular, the relationship between fuzzy bi-ideals with thresholds and implication-based fuzzy bi-ideals is analyzed. %K (¦Á %K ¦Â)-fuzzy bi-ideal %K fuzzifying bi-ideal %K implication-based fuzzy bi-ideal. %U http://www.sumam.selcuk.edu.tr/12-2-4.html