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» On the cardinality of fuzzy sets
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EUSFLAT
2003
13 years 6 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 6 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 6 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 4 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
13 years 11 months 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