书目名称 | Cardinalities of Fuzzy Sets |
编辑 | Maciej Wygralak |
视频video | http://file.papertrans.cn/222/221851/221851.mp4 |
概述 | First monograph presenting cardinality theory of fuzzy sets with triangular norms, including its scalar and fuzzy streams.Self-contained, systematic presentation equipped with many examples |
丛书名称 | Studies in Fuzziness and Soft Computing |
图书封面 |  |
描述 | 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 |
出版日期 | Book 2003 |
关键词 | Cardinality of Fuzzy Sets; Computer; Fuzzy; Fuzzy Sets; Information; Many-Valued Logic; Symbol; Triangular |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-36382-8 |
isbn_softcover | 978-3-642-53514-7 |
isbn_ebook | 978-3-540-36382-8Series ISSN 1434-9922 Series E-ISSN 1860-0808 |
issn_series | 1434-9922 |
copyright | Springer-Verlag Berlin Heidelberg 2003 |