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Öğe Fuzzifying bi-ideals of semigroups and implication operators(Selcuk University Research Center of Applied Mathematics, 2011) Hedayati, H.; Jafari, Z.In this paper the notion of (?,?)-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.