Articles liés à Cardinalities of Fuzzy Sets
Synopsis
Counting is one of the basic elementary mathematical activities. It comes with two complementary aspects: to determine the number of elements of a set - and to create an ordering between the objects of counting just by counting them over. For finite sets of objects these two aspects are realized by the same type of num- bers: the natural numbers. That these complementary aspects of the counting pro- cess may need different kinds of numbers becomes apparent if one extends the process of counting to infinite sets. As general tools to determine numbers of elements the cardinals have been created in set theory, and set theorists have in parallel created the ordinals to count over any set of objects. For both types of numbers it is not only counting they are used for, it is also the strongly related process of calculation - especially addition and, derived from it, multiplication and even exponentiation - which is based upon these numbers. For fuzzy sets the idea of counting, in both aspects, looses its naive foundation: because it is to a large extent founded upon of the idea that there is a clear distinc- tion between those objects which have to be counted - and those ones which have to be neglected for the particular counting process.
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Cardinalities of Fuzzy Sets
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Springer Berlin Heidelberg, 2012
ISBN 10 : 3642535143
ISBN 13 : 9783642535147
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First monograph presenting cardinality theory of fuzzy sets with triangular norms, including its scalar and fuzzy streamsSelf-contained, systematic presentation equipped with many examplesCounting is one of the basic elementary mathematica. N° de réf. du vendeur 5063836
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Cardinalities of Fuzzy Sets (Studies in Fuzziness and Soft Computing)
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Cardinalities of Fuzzy Sets
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Springer Berlin Heidelberg, 2012
ISBN 10 : 3642535143
ISBN 13 : 9783642535147
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Counting is one of the basic elementary mathematical activities. It comes with two complementary aspects: to determine the number of elements of a set - and to create an ordering between the objects of counting just by counting them over. For finite sets of objects these two aspects are realized by the same type of num bers: the natural numbers. That these complementary aspects of the counting pro cess may need different kinds of numbers becomes apparent if one extends the process of counting to infinite sets. As general tools to determine numbers of elements the cardinals have been created in set theory, and set theorists have in parallel created the ordinals to count over any set of objects. For both types of numbers it is not only counting they are used for, it is also the strongly related process of calculation - especially addition and, derived from it, multiplication and even exponentiation - which is based upon these numbers. For fuzzy sets the idea of counting, in both aspects, looses its naive foundation: because it is to a large extent founded upon of the idea that there is a clear distinc tion between those objects which have to be counted - and those ones which have to be neglected for the particular counting process. N° de réf. du vendeur 9783642535147
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Cardinalities of Fuzzy Sets
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Cardinalities of Fuzzy Sets
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 2012, 2012
ISBN 10 : 3642535143
ISBN 13 : 9783642535147
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Counting is one of the basic elementary mathematical activities. It comes with two complementary aspects: to determine the number of elements of a set - and to create an ordering between the objects of counting just by counting them over. For finite sets of objects these two aspects are realized by the same type of num bers: the natural numbers. That these complementary aspects of the counting pro cess may need different kinds of numbers becomes apparent if one extends the process of counting to infinite sets. As general tools to determine numbers of elements the cardinals have been created in set theory, and set theorists have in parallel created the ordinals to count over any set of objects. For both types of numbers it is not only counting they are used for, it is also the strongly related process of calculation - especially addition and, derived from it, multiplication and even exponentiation - which is based upon these numbers. For fuzzy sets the idea of counting, in both aspects, looses its naive foundation: because it is to a large extent founded upon of the idea that there is a clear distinc tion between those objects which have to be counted - and those ones which have to be neglected for the particular counting process.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 212 pp. Englisch. N° de réf. du vendeur 9783642535147
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Cardinalities of Fuzzy Sets (Studies in Fuzziness and Soft Computing)
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Cardinalities of Fuzzy Sets (Studies in Fuzziness and Soft Computing)
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Cardinalities of Fuzzy Sets
Edité par
Springer Berlin Heidelberg Jul 2012, 2012
ISBN 10 : 3642535143
ISBN 13 : 9783642535147
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Counting is one of the basic elementary mathematical activities. It comes with two complementary aspects: to determine the number of elements of a set - and to create an ordering between the objects of counting just by counting them over. For finite sets of objects these two aspects are realized by the same type of num bers: the natural numbers. That these complementary aspects of the counting pro cess may need different kinds of numbers becomes apparent if one extends the process of counting to infinite sets. As general tools to determine numbers of elements the cardinals have been created in set theory, and set theorists have in parallel created the ordinals to count over any set of objects. For both types of numbers it is not only counting they are used for, it is also the strongly related process of calculation - especially addition and, derived from it, multiplication and even exponentiation - which is based upon these numbers. For fuzzy sets the idea of counting, in both aspects, looses its naive foundation: because it is to a large extent founded upon of the idea that there is a clear distinc tion between those objects which have to be counted - and those ones which have to be neglected for the particular counting process. 212 pp. Englisch. N° de réf. du vendeur 9783642535147
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Cardinalities of Fuzzy Sets (Studies in Fuzziness and Soft Computing)
Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis
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Etat : New. N° de réf. du vendeur ABLIING23Mar3113020230621
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