Abstract
Fuzzy set theory has been criticized for building on an ill-understood notion, viz., that of graded membership. To address this concern, recent work has proposed an operational definition of this notion, which experimental studies have subsequently shown to make accurate predictions regarding people's judgments of degrees of membership. It is still an open question whether analogous positive results can be obtained for more complex fuzzy concepts, for instance, concepts that can be modeled as intersections of fuzzy sets. The present paper makes a beginning with answering this question. It reports results of an experimental study that derived degrees of membership for a conjunctive concept from the outcomes of the aforementioned studies and then compared these predicted degrees with the degrees as judged by participants. Degrees of membership were derived using all of the better-known fuzzy intersection operators, and thus the results of the study also shed new light on the question of the empirical adequacy of those operators.
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