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ISBN: 9789048155071

ID: 978904815507

The history of triangular norms started with the paper Statistical metrics [Menger 1942]. The main idea of Karl Menger was to construct metric spaces where probability distributions rather than numbers are used in order to de­ scribe the distance between two elements of the space in question. Triangular norms (t-norms for short) naturally came into the picture in the course of the generalization of the classical triangle inequality to this more general set­ ting. The original set of axioms for t-norms was considerably weaker, including among others also the functions which are known today as triangular conorms. Consequently, the first field where t-norms played a major role was the theory of probabilistic metric spaces ( as statistical metric spaces were called after 1964). Berthold Schweizer and Abe Sklar in [Schweizer & Sklar 1958, 1960, 1961] provided the axioms oft-norms, as they are used today, and a redefinition of statistical metric spaces given in [Serstnev 1962]led to a rapid development of the field. Many results concerning t-norms were obtained in the course of this development, most of which are summarized in the monograph [Schweizer & Sklar 1983]. Mathematically speaking, the theory of (continuous) t-norms has two rather independent roots, namely, the field of (specific) functional equations and the theory of (special topological) semigroups. Erich Peter Klement, Books, Religion and Spirituality, Triangular Norms Books>Religion and Spirituality, Springer-Verlag/Sci-Tech/Trade

ISBN: 9789048155071

ID: 978904815507

This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers. Erich Peter Klement, Books, Religion and Spirituality, Triangular Norms Books>Religion and Spirituality, Springer-Verlag/Sci-Tech/Trade

ISBN: 9789048155071

ID: 978904815507

This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers. Erich Peter Klement, Books, Religion and Spirituality, Triangular Norms Books>Religion and Spirituality, Springer Netherlands

ISBN: 9789048155071

ID: 10987227

This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers. Triangular Norms Klement, Erich Peter / Mesiar, R. / Pap, E., Springer

2013, ISBN: 904815507X

ID: 22203953458

[EAN: 9789048155071], Neubuch, [PU: Springer], This item is printed on demand for shipment within 3 working days.