implication based interval valued $left( in

In this paper, we introduce a new sort of interval valued $left(in ,in vee q_{widetilde{k}}^{widetilde{delta }}right) $-fuzzy bi-ideal in ordered semigroups which is the generalization of interval valued $left( in ,in vee q_{%widetilde{k}}right) $-fuzzy bi-ideal and interval valued $left( in ,in vee qright) $-fuzzy bi-ideal of ordered semigroups. We give examples in which we show that these structures are more general than previous one.  Finally, we characterize ordered semigroup by the property of interval valued $left( in ,in vee q_{% widetilde{k}}^{widetilde{delta }}right) $-implication based fuzzy bi-ideals.