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Bücher Englische Bücher Cardinalities of Fuzzy Sets
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Cardinalities of Fuzzy Sets
Maciej Wygralak (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.03.2003
Sprache
Englisch
EAN
9783540003373
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Studies in Fuzziness and Soft Computing
Sonderedition
Nein
Autor
Maciej Wygralak
Seitenanzahl
195
Einbandart
Gebundene Ausgabe
Schlagwörter
Cardinality of Fuzzy Sets, Computer, Fuzzy, Fuzzy Sets, Information, Many-Valued Logic, Symbol, Triangular Norm, cardinality, cardinals, computer science, fuzzy set, modeling, set theory, complexity
Thema-Inhalt
PBD - Diskrete Mathematik
TBJ - Mathematik für Ingenieure
GPFC - Kybernetik und Systemtheorie
UYA - Theoretische Informatik
PBG - Gruppen und Gruppentheorie
Höhe
234 mm
Breite
15.6 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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