Fuzzy filters and their generalized types have been extensively studied in the literature. In this paper, a one-to-one correspondence between the set of all generalized fuzzy filters and the set of all generalized fuzzy congruences is established, a quotient residuated lattice with respect to generalized fuzzy filter is induced, and several types of generalized fuzzy -fold filters such as generalized fuzzy -fold positive implicative (fantastic and Boolean) filters are introduced; examples and results are provided to demonstrate the relations among these filters.
"Some Types of Generalized Fuzzy -Fold Filters in Residuated Lattices." Abstr. Appl. Anal. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/736872