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Triangular Norms
Klement, Erich Peter; Mesiar, Radko; Pap, Endre
€ 257.41
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Description for Triangular Norms
Hardback. 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. This work is self contained, including proofs, and gives many graphical illustrations. Series: Trends in Logic. Num Pages: 387 pages, biography. BIC Classification: PBCD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 23. Weight in Grams: 752.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2000
Publisher
Kluwer Academic Publishers United States
Number of pages
387
Condition
New
Series
Trends in Logic
Number of Pages
387
Place of Publication
Dordrecht, Netherlands
ISBN
9780792364160
SKU
V9780792364160
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Triangular Norms
"The book is very well written and constitutes a valuable addition to the literature on t-norms and, in general fuzzy reasoning. It presents almost all of the most important developments of fuzzy sets and fuzzy logic by focusing on the central concept of triangular norm. It is divided into two parts and an appendix, which gives a summary of the ... Read more