Fuzzy natural logic, Linguistic associations mining, Intermediate quantifiers, Graded cube of opposition, Fuzzy GUHA

The main goal of this paper is to introduce new forms of intermediate quantifiers forming a generalized cube of opposition as an extension of the generalized Peterson's square of opposition. Namely, we utilize the theory of intermediate quantifiers, which provides mathematical interpretation of natural language expressions describing quantities such as ``Almost all'', ``A few'' etc., to describe relationships in data using expressions that are common in human reasoning.