Cardinalities of Fuzzy Sets
Produktnummer:
189ff4f4a4c1574853bafbcd29f196349c
Autor: | Wygralak, Maciej |
---|---|
Themengebiete: | Cardinality of Fuzzy Sets Computer Fuzzy Fuzzy Sets Information Many-Valued Logic Symbol Triangular Norm cardinality cardinals |
Veröffentlichungsdatum: | 11.03.2003 |
EAN: | 9783540003373 |
Sprache: | Englisch |
Seitenzahl: | 195 |
Produktart: | Gebunden |
Verlag: | Springer Berlin |
Produktinformationen "Cardinalities of Fuzzy Sets"
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.

Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen