Intermediate quantifiers; fuzzy natural logic; evaluative linguistic expressions; generalized Peterson square; Graded generalized hexagon

In our previous papers, we formally analyzed the generalized Aristotle's square of opposition using tools of fuzzy natural logic. Namely, we introduced general definitions of selected intermediate quantifiers, constructed a generalized square of opposition consisting of them and syntactically analyzed the emerged properties. The main goal of this paper is to extend the generalized square of opposition to graded generalized hexagon.

In our previous papers, we formally analyzed the generalized Aristotle's square of opposition using tools of fuzzy natural logic. Namely, we introduced general definitions of selected intermediate quantifiers, constructed a generalized square of opposition consisting of them and syntactically analyzed the emerged properties. The main goal of this paper is to extend the generalized square of opposition to graded generalized hexagon.