Triangular Norms - pocketboek

ISBN: 9789048155071

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 rat… Meer...

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. Books > Philosophy Soft cover, Springer Shop<

ISBN: 9789048155071

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 rat… Meer...

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. Books > Philosophy List_Books<

2010

ISBN: 9789048155071

pocketboek

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book discusses the theory … Meer...

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric sp, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Softcover, 387, [GW: 629g], Softcover reprint of the original 1. Auflage 2000, Banküberweisung, PayPal<

2010, ISBN: 904815507X

Softcover reprint of the original 1st ed. 2000 Kartoniert / Broschiert Mathematische Grundlagen, Algebra, Philosophie: Logik, Algebra; logic; proof; semigroup; settheory; Addition, mit … Meer...

Softcover reprint of the original 1st ed. 2000 Kartoniert / Broschiert Mathematische Grundlagen, Algebra, Philosophie: Logik, Algebra; logic; proof; semigroup; settheory; Addition, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<

2010, ISBN: 9789048155071

Buch, Softcover, Softcover reprint of the original 1st ed. 2000, [PU: Springer], Springer, 2010