Cardinalities of Fuzzy Sets
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  • Forventet levering 17-12-2019
Format:
Bog, paperback
Udgivelsesdato:
21-07-2012
Sprog:
Engelsk
Udgave:
Softcover reprint of the original 1st ed. 2003.
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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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Udgivelsesdato:
21-07-2012
ISBN13:
9783642535147
Vægt:
332 g
Dybde:
11 mm
Bredde:
155 mm
Højde:
235 mm
Nummer i serien:
118
Nummer i serien:
118
Format:
Paperback
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  • Bibliotekernes beskrivelse

    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. 1 Paperback / softback XIV, 195 p.

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