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Titlebook: Cardinalities of Fuzzy Sets; Maciej Wygralak Book 2003 Springer-Verlag Berlin Heidelberg 2003 Cardinality of Fuzzy Sets.Computer.Fuzzy.Fuz

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发表于 2025-3-21 17:40:21 | 显示全部楼层 |阅读模式
书目名称Cardinalities of Fuzzy Sets
编辑Maciej Wygralak
视频videohttp://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Titlebook: Cardinalities of Fuzzy Sets;  Maciej Wygralak Book 2003 Springer-Verlag Berlin Heidelberg 2003 Cardinality of Fuzzy Sets.Computer.Fuzzy.Fuz
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
doihttps://doi.org/10.1007/978-3-540-36382-8
isbn_softcover978-3-642-53514-7
isbn_ebook978-3-540-36382-8Series ISSN 1434-9922 Series E-ISSN 1860-0808
issn_series 1434-9922
copyrightSpringer-Verlag Berlin Heidelberg 2003
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发表于 2025-3-22 00:07:57 | 显示全部楼层
1434-9922 , 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 978-3-642-53514-7978-3-540-36382-8Series ISSN 1434-9922 Series E-ISSN 1860-0808
发表于 2025-3-22 00:57:37 | 显示全部楼层
Die Psychologie menschlichen Handelnsgeneralizing the triangle inequality from classical metric spaces to probabilistic metric spaces in which probability distributions rather than numbers serve to describe distances between elements. In ./. (1961, 1983), triangular norms were redefined by strengthening their axioms into the form used
发表于 2025-3-22 08:31:09 | 显示全部楼层
Teamarbeit: Der Schlüssel zum Erfolger, their membership in that collection is graduated. This feature implies that the logical basis of fuzzy sets must be many-valued logic, i.e. logic allowing intermediate logical values lying between 0 (false) and 1 (true). The concept of a fuzzy set and fundamentals of many-valued sentential calcu
发表于 2025-3-22 09:37:53 | 显示全部楼层
Führung: Dem Team Richtung gebenes is the starting point of our study. We like to investigate their properties, including the valuation property, the cartesian product rule and the complementarity rule. The question of the simultaneous fulfilment of these properties will also be discussed.
发表于 2025-3-22 13:11:50 | 显示全部楼层
Führung: Dem Team Richtung gebenuzzy sets with triangular operations. We shall use the notation and terminology established in that section as well as in Chapter 1. Among other questions, the following key issues will be discussed: equipotency of fuzzy sets, ordering relations for their generalized cardinal numbers, and arithmetic
发表于 2025-3-22 17:06:44 | 显示全部楼层
https://doi.org/10.1007/978-3-540-36382-8Cardinality of Fuzzy Sets; Computer; Fuzzy; Fuzzy Sets; Information; Many-Valued Logic; Symbol; Triangular
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发表于 2025-3-23 09:08:10 | 显示全部楼层
Führung: Dem Team Richtung gebenes is the starting point of our study. We like to investigate their properties, including the valuation property, the cartesian product rule and the complementarity rule. The question of the simultaneous fulfilment of these properties will also be discussed.
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