Abstract
The aim of this paper is further to develop the fuzzy filter theory of general residuated lattices. The concepts of \((\in ,\in \vee q_{k})\)-fuzzy positive implicative filter, \((\in ,\in \vee q_{k})\)-fuzzy MV filter and \((\in ,\in \vee q_{k})\)-fuzzy regular filter are introduced; Their properties are investigated, and some equivalent characterizations of these generalized fuzzy filters are also derived.
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