Books about Triangular from Amazon.com

Triangular norms were first used in the context of probabilistic metric spaces in order to extend the triangle inequality from classical metric spaces to this more general case. The theory of triangular norms has two roots, viz., specific functional equations and the theory of special topological semigroups. These are discussed in Part I.
Part II of the book 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.
Part I is self contained, including all proofs, and gives many graphical illustrations. The review in Part II shows the importance if triangular norms in the field concerned, providing a well-balanced picture of theory and applications..
Price: $89.95 [Notify me when price goes down.]

The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journal Seventy years later, it was featured as the second part of Hilbert's Fifth Problem, and it was solved under successively weaker hypotheses by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B Schweizer and A Sklar showed that the "triangular norms" introduced by Menger in his definition of a probabilistic metric space should be associative; and in their book Probabilistic Metric Spaces, they presented the basic properties of such triangular norms and the closely related copulas. Since then, the study of these two classes of functions has been evolving at an ever-increasing pace and the results have been applied in fields such as statistics, information theory, fuzzy set theory, multi-valued and quantum logic, hydrology, and economics, in particular, risk analysis. This book presents the foundations of the subject of associative functions on real intervals. It brings together results that have been widely scattered in the literature and adds much new material. In the process, virtually all the standard techniques for solving functional equations in one and several variables come into play. Thus, the book can serve as an advanced undergraduate or graduate text on functional equations..
Price: $45.47 [Notify me when price goes down.]

This fast paced book makes for easy reading but yet difficult to put down. The reader is exposed to the many inhabitants of the Amazon Rain Forests of Brazil with all its wonders and dangers. The book has a subtle divine thread that is skillfully woven throughout the plot that leaves the reader pondering on their own destinies. The book has its share of violent characters who become victims of their own deviant ways. The triangular theme flavors different aspects of the storyline from the characters' fate to their religious beliefs. The ending is an unexpected well prepared dessert that leaves the reader analyzing events that led up to it..
Price: $15.99 [Notify me when price goes down.]

This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces.

Key Features:

- Complete state of the art of the importance of triangular norms in various mathematical fields
- 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications
- Chapter authors are leading authorities in their fields
- Triangular norms on different domains (including discrete, partially ordered) are described
- Not only triangular norms but also related operators (aggregation operators, copulas) are covered
- Book contains many enlightening illustrations

· Complete state of the art of the importance of triangular norms in various mathematical fields
· 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications
· Chapter authors are leading authorities in their fields
· Triangular norms on different domains (including discrete, partially ordered) are described
· Not only triangular norms but also related operators (aggregation operators, copulas) are covered
· Book contains many enlightening illustrations.
Price: $136.35 [Notify me when price goes down.]

Imparts a self-contained development of the algebraic theory of Kac-Moody algebras, their representations and close relatives—the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac-Moody theory not specific to the affine case. Also covers lattices, and finite root systems, infinite-dimensional theory, Weyl groups and conjugacy theorems..
Price: $156.00 [Notify me when price goes down.]