Fuzzy Boolean and fuzzy prime lters in residuated lattices

In this paper, some types of fuzzy Boolean lters and fuzzy prime lters in a residuated lattice are introduced and some of their properties and the connections between them are given. Particularly, it is shown that a fuzzy normal lter is a fuzzy Boolean lter or a fuzzy prime lter if and only if the quotient residuated lattice induced by this fuzzy lter is a Boolean algebra or a linearly ordered residuated lattice, respectively

کلیدواژه ها:

Residuated lattice ، Boolean lter ، prime lter ، fuzzy Boolean lter ، fuzzy prime lter