ON (\in;\in \vee q)-ANTI FUZZY BI-IDEALS OF ORDERED SEMIGROUP

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