Fitting triangular norms to empirical data

Fitting triangular norms to empirical data

Beliakov, Gleb 2005, Fitting triangular norms to empirical data, in 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, 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 9780444518149
Edition	1st ed.
Language	eng
Field of Research	010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra
HERDC Research category	B1.1 Book chapter
ERA Research output type	B Book chapter
Copyright notice	©2005, Elsevier
Persistent URL	http://hdl.handle.net/10536/DRO/DU:30015939

Document type:	Book Chapter
Collection:	School of Information Technology

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