Fitting triangular norms to empirical data

Beliakov, Gleb 2005, Fitting triangular norms to empirical data. In Klement, Erich Peter and Mesiar, Radko (ed), Logical, algebraic, analytic, and probabilistic aspects of triangular norms, Elsevier, Boston, Mass., pp.262-272.

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Title Fitting triangular norms to empirical data
Author(s) Beliakov, GlebORCID iD for Beliakov, Gleb
Title of book Logical, algebraic, analytic, and probabilistic aspects of triangular norms
Editor(s) Klement, Erich Peter
Mesiar, Radko
Publication date 2005
Chapter number 9
Total chapters 16
Start page 262
End page 272
Total pages 11
Publisher Elsevier
Place of Publication Boston, Mass.
Summary This chapter discusses some specific tools that can be used to build triangular norms based on a finite number of (possibly noisy) observations. Such problem arises in applications, when observed data (e.g., decision patterns of experts) need to be modelled with a special class of functions, such as triangular norms. We show how this problem can be transformed into a constrained regression problem, and then efficiently solved. We also discuss related operators: uninorms, nullnorms and associative copulas.
ISBN 0444518142
Edition 1st ed.
Language eng
Field of Research 010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category B1.1 Book chapter
ERA Research output type B Book chapter
Copyright notice ©2005, Elsevier
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