书目名称 | Invariance and Structural Dependence |
编辑 | Jan Odelstad |
视频video | |
丛书名称 | Lecture Notes in Economics and Mathematical Systems |
图书封面 |  |
描述 | This is a revised version of a doctoral thesis, submitted in mimeographed fonn to the Faculty of Arts, Uppsala University, 1988. It deals with the notions of struc tural dependence and independence, which are used in many applications of mathe matics to science. For instance, a physical law states that one physical aspect is structurally dependent on one or more other aspects. Structural dependence is closely related to the mathematical idea of functional dependence. However, struc tural dependence is primarily thought of as a relation holding between aspects rather than between their measures. In this book, the traditional way of treating aspects within measurement theory is modified. An aspect is not viewed as a set-theoretical structure but as a function which has sets as arguments and set-theoretical structures as values. This way of regarding aspects is illustrated with an application to social choice and group deci sion theory. Structural dependence is connected with the idea of concomitant variations and the mathematical notion of invariance. This implies that the study of this notion has roots going back to Mill‘s inductive logic, to Klein‘s Erlangen Program for geome |
出版日期 | Book 1992 |
关键词 | Entscheidungstheorie; Invarianz; Measurement Theory; Messtheorie; decision theory; invariance; mathematics |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-48388-2 |
isbn_softcover | 978-3-540-55260-4 |
isbn_ebook | 978-3-642-48388-2Series ISSN 0075-8442 Series E-ISSN 2196-9957 |
issn_series | 0075-8442 |
copyright | Springer-Verlag Berlin Heidelberg 1992 |