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» On the cardinality of fuzzy sets
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EUSFLAT
2003
13 years 7 months ago
Cardinalities of fuzzy sets with triangular norms
This paper presents a variety of cardinality concepts offered by cardinality theory of triangular norm-based fuzzy sets, including the scalar and the "fuzzy" streams.
Maciej Wygralak
EUSFLAT
2003
305views Fuzzy Logic» more  EUSFLAT 2003»
13 years 7 months ago
On the cardinality of fuzzy sets
It seems that a suitably constructed fuzzy sets of natural numbers form the most complete and adequate description of cardinality of finite fuzzy sets.(see [11]) Nevertheless, in...
Pavol Král
EUSFLAT
2001
13 years 7 months ago
Scalar equipotency and fuzzy bijections
In this paper we deal with the problem of the relationship between the equipotency defined as a consequence of a given definition of scalar cardinality of a fuzzy set and the exis...
Jaume Casasnovas
ISCI
2007
138views more  ISCI 2007»
13 years 5 months ago
Uncertainty measures for interval type-2 fuzzy sets
Fuzziness (entropy) is a commonly used measure of uncertainty for type-1 fuzzy sets. For interval type-2 fuzzy sets (IT2 FSs), centroid, cardinality, fuzziness, variance and skewn...
Dongrui Wu, Jerry M. Mendel
FOCI
2007
IEEE
14 years 3 days ago
Cardinality, Fuzziness, Variance and Skewness of Interval Type-2 Fuzzy Sets
Abstract— Centroid, cardinality, fuzziness, variance and skewness are all important concepts for an interval type-2 fuzzy set (IT2 FS) because they are all measures of uncertaint...
Jerry M. Mendel, Dongrui Wu