Monadic L-fuzzy quantifiers of the type

Abstract: The aim of this paper is to introduce monadic -fuzzy quantifiers of the type 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 -fuzzy quantifiers. Finally, a property “to be extensional with respect to a given -permutation equivalence” is proposed and some properties are shown. [Copyright &y& Elsevier]