Monadic L-fuzzy quantifiers of the type 〈1n,1〉

The aim of this paper is to introduce monadic L-fuzzy quantifiers of the type 〈1n,1〉 and investigate some of their semantic properties that are well-known in generalized quantifier theory. Relationships between the properties of generalized quantifiers are also studied for monadic L-fuzzy quantifiers. Finally, a property “to be extensional with respect to a given L-permutation equivalence” is proposed and some properties are shown.