Fuzzy cardinality and the modeling of imprecise quantification |
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Authors: | Didier Dubois Henri Prade |
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Institution: | Laboratoire ‘Langages et Systèmes Informatiques’, Université Paul Sabatier, 31062 Toulouse, France |
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Abstract: | The concept of cardinality of a fuzzy set has received attention from several researchers and has been defined in several apparently independent manners. A systematic investigation of this notion is performed which unifies and improves previous attempts. The cardinality of a fuzzy set, viewed as a fuzzy integer, is related to scalar cardinality indices. The closely related question of the probability of a fuzzy event is dealt with. Lastly, the usefulness of fuzzy cardinality for meaning representation of statements or queries involving fuzzy linguistic quantifiers is emphasized. |
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Keywords: | Fuzzy set Cardinality Possibility Probability Linguistic quantifiers |
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