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Triangular Norms - Endre Pap; Erich Peter Klement; Radko Mesiar
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Endre Pap; Erich Peter Klement; Radko Mesiar:
Triangular Norms - gebrauchtes Buch

1983, ISBN: 0792364163

ID: 3273491

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. algebra and trigonometry,calculus,humanities,logic,logic and language,mathematics,philosophy,politics and social sciences,science and math,science and math Philosophy, Springer

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Triangular Norms - Erich Peter Klement#Radko Mesiar#Endre Pap
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Erich Peter Klement#Radko Mesiar#Endre Pap:
Triangular Norms - neues Buch

2000, ISBN: 9780792364160

ID: 167987472

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. Triangular Norms Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 31.07.2000 Buch (fremdspr.), Springer, .200

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Triangular Norms - Erich Peter Klement#Radko Mesiar#Endre Pap
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Erich Peter Klement#Radko Mesiar#Endre Pap:
Triangular Norms - neues Buch

2000, ISBN: 9780792364160

ID: 691582941

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. Triangular Norms Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 31.07.2000, Springer, .200

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Triangular Norms - E. Pap#R. Mesiar#Erich Peter Klement
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E. Pap#R. Mesiar#Erich Peter Klement:
Triangular Norms - neues Buch

ISBN: 9780792364160

ID: 108212311

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. Triangular Norms Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Triangular Norms - Erich Peter Klement, Radko Mesiar, Endre Pap
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Erich Peter Klement, Radko Mesiar, Endre Pap:
Triangular Norms - neues Buch

ISBN: 9780792364160

ID: 978079236416

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, Radko Mesiar, Endre Pap, Books, Religion and Spirituality, Triangular Norms Books>Religion and Spirituality, Springer Netherlands

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Details zum Buch
Triangular Norms

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.

Detailangaben zum Buch - Triangular Norms


EAN (ISBN-13): 9780792364160
ISBN (ISBN-10): 0792364163
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: Springer-Verlag GmbH
412 Seiten
Gewicht: 0,771 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 06.06.2007 10:51:59
Buch zuletzt gefunden am 17.10.2017 13:48:36
ISBN/EAN: 0792364163

ISBN - alternative Schreibweisen:
0-7923-6416-3, 978-0-7923-6416-0


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