FUZZY ELEMENTS IN A FUZZY SET
Didier Dubois, Henri M. Prade · 2005
ABSTRACT: This paper introduces a new concept in fuzzy set theory, that of a fuzzy element. It embodies the idea of fuzziness only, thus contributing to the distinction between fuzziness and ideas of imprecision. A fuzzy element is to a fuzzy set what an element is to a set. A fuzzy element is as precise as an element, just more gradual that the latter. Applications of this notion to fuzzy cardinality, fuzzy interval analysis and defuzzification principles are outlined.