In this paper, we introduce the notions of (Î-, Î- Vq-) -fuzzy bi-ideals, (Î, Î Vq) -antifuzzy bi-ideals and (Î-, Î- Vq-) -antifuzzy bi-ideals of an ordered semigroup. We characterize (Î, Î Vq) -antifuzzy bi-ideals by (Î-, Î- Vq-) -fuzzy bi-ideals, lower level sets and upper level sets. We characterize (Î-, Î- Vq-) -antifuzzy bi-ideals by (Î, Î Vq) -fuzzy bi-ideals, lower level sets and upper level sets. We characterize regular ordered semigroups through (Î-, Î- Vq-) -antifuzzy bi-ideals and (Î, Î Vq) -fuzzy bi-ideals.