Fuzzy natural logic; Generalized intermediate quantifiers; Graded 5-square of opposition; Intermediate syllogisms

This paper is a continuation to the study of a special kind of generalized syllogisms with intermediate quantifiers. In this paper, we will address some special kinds of syllogisms that are called Consequent Conjunctive generalized syllogisms in the sense that all premises contain general intermediate quantifiers. We will show relationships between the validity of intermediate syllogisms and a graded 5-square of opposition.