An Information-Based Discussion of Borderline Cases in Categorization: Six Scenarios Leading to Vagueness

Abstract The issue of understanding and modeling vagueness was already addressed by many authors, especially in the second half of the 20th century. In this paper, we try to provide an organized discussion of different situations leading to vagueness understood in a broad sense. Indeed, they all lead to a trichotomy of the universe of discourse, via the presence of borderline cases. Basic representations frameworks are proposed for each scenario. The chapter does not advocate a particular view against others but rather identifies the characteristic features of each situation.

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