Non-Fiction Books:

Triangular Norms

Click to share your rating 0 ratings (0.0/5.0 average) Thanks for your vote!

Format:

Hardback
$579.00
Available from supplier

The item is brand new and in-stock with one of our preferred suppliers. The item will ship from a Mighty Ape warehouse within the timeframe shown.

Usually ships in 3-4 weeks
Free Delivery with Primate
Join Now

Free 14 day free trial, cancel anytime.

Buy Now, Pay Later with:

4 payments of $144.75 with Afterpay Learn more

6 weekly interest-free payments of $96.50 with Laybuy Learn more

Availability

Delivering to:

Estimated arrival:

  • Around 18-28 June using International Courier

Description

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.
Release date NZ
July 31st, 2000
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Illustrations
XIX, 387 p.
Pages
387
Dimensions
156x234x23
ISBN-13
9780792364160
Product ID
2840407

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here

Help & options

Filed under...