Abstract
In this paper, we introduce the notions of interval valued $${(\in,\in\vee q)}$$-fuzzy filters and interval valued $${(\in,\in\vee q)}$$-fuzzy Boolean (implicative) filters in R 0-algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy filters are derived. In particular, we prove that an interval valued fuzzy set F in R 0-algebras is an interval valued $${(\in,\in\vee q)}$$-fuzzy Boolean filter if and only if it is an interval valued $${(\in,\in\vee q)}$$-fuzzy implicative filter.
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