A general approach to fuzzy concepts

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Andrei Popescu
Math. Log. Q. 50(3): 265-280 (2004)
Abstract. The paper proposes a flexible way to build concepts within fuzzy logic and set theory. The framework is general enough to capture some important particular cases, with their own independent interpretations, like antitone or isotone concepts constructed from fuzzy binary relations, but also to allow the two universes (of objects and attributes) to be equipped each with its own truth structure. Perhaps the most important feature of our approach is that we do not commit ourselves to any kind of logical connector, covering thus the case of a possibly non-commutative conjunction too.
Math. Log. Q., DBLP, BIB

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