LUW August 23, Chai Wah Wu. On rearrangement inequalities for triangular norms and co-norms in multi-valued logic

[jean-yves beziau]

The next session of the Logica Universalis Webinar will be Wednesday August 23 at 4pm CET.

Speaker:  Chai Wah Wu  

IBM Research / T. J. Watson Research Center, New York 

Title:  On rearrangement inequalities for triangular norms and co-norms in multi-valued logic

Abstract: The rearrangement inequality states that the sum of products of permutations of 2 sequences of real numbers are maximized when the terms are similarly ordered and minimized when the terms are ordered in opposite order. We show that similar inequalities exist in algebras of multi-valued logic when the multiplication and addition operations are replaced with various T-norms and T-conorms respectively. For instance, we show that the rearrangement inequality holds when the T-norms and T-conorms are derived from Archimedean copulas.

https://link.springer.com/article/10.1007/s11787-023-00332-0

Associate Organization: 

Theory of Computation and Information Group IBM Watson Research Center

presented by its manager Ken Clarkson

Chair:  Sayantan Roy
Assistant Editor Logica Universalis

Everybody is welcome to attend.
https://www.springer.com/journal/11787/updates/23910922

Jean-Yves Beziau
Editor-in-Chief Logica Universalis
Organizer Logica Universalis Webinar