Generalized Möbius transformation of knowledge bases

Milan Daniel

Kybernetika (1998)

  • Volume: 34, Issue: 1, page [91]-104
  • ISSN: 0023-5954

Abstract

top
Möbius transformation is an important tool for establishing weights of compositional expert systems rules from conditional weights. In this paper, an applicability of Möbius transformation of rule bases is also extended to knowledge bases with elementary disjunctions in antecedents of rules. This paper contains an existence theorem, an algorithm of the transformation and some open problems which tend to maximal generality as well.

How to cite

top

Daniel, Milan. "Generalized Möbius transformation of knowledge bases." Kybernetika 34.1 (1998): [91]-104. <http://eudml.org/doc/33337>.

@article{Daniel1998,
abstract = {Möbius transformation is an important tool for establishing weights of compositional expert systems rules from conditional weights. In this paper, an applicability of Möbius transformation of rule bases is also extended to knowledge bases with elementary disjunctions in antecedents of rules. This paper contains an existence theorem, an algorithm of the transformation and some open problems which tend to maximal generality as well.},
author = {Daniel, Milan},
journal = {Kybernetika},
keywords = {Möbius transformation; expert systems; conditional weights; knowledge base; Möbius transformation; expert systems; conditional weights; knowledge base},
language = {eng},
number = {1},
pages = {[91]-104},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Generalized Möbius transformation of knowledge bases},
url = {http://eudml.org/doc/33337},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Daniel, Milan
TI - Generalized Möbius transformation of knowledge bases
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 1
SP - [91]
EP - 104
AB - Möbius transformation is an important tool for establishing weights of compositional expert systems rules from conditional weights. In this paper, an applicability of Möbius transformation of rule bases is also extended to knowledge bases with elementary disjunctions in antecedents of rules. This paper contains an existence theorem, an algorithm of the transformation and some open problems which tend to maximal generality as well.
LA - eng
KW - Möbius transformation; expert systems; conditional weights; knowledge base; Möbius transformation; expert systems; conditional weights; knowledge base
UR - http://eudml.org/doc/33337
ER -

References

top
  1. Adlassnig K.-P., 10.1109/TSMC.1986.4308946, IEEE Trans. Systems Man Cybernet 16 (1986), 2, 260–265 (1986) DOI10.1109/TSMC.1986.4308946
  2. Daniel M., A generalization of Möbius transformation, In: 4th Workshop on Uncertainty Processing (R. Jiroušek and G. D. Kleiter, eds.), Prague 1997, pp. 31–42 (1997) 
  3. Daniel M., A Generalization of Möbius Transformation for Knowledge Bases which Include Rules with Disjunction in Antecedent, Technical Report No. V-706, ICS AS CR, Prague 1997 
  4. Daniel M., Hájek P., Nguyen P. H., 10.1016/S0933-3657(96)00376-4, Artificial Intelligence in Medicine 9 (1997), 241–259 (1997) DOI10.1016/S0933-3657(96)00376-4
  5. Hájek P., Combining functions in consulting systems and dependence of premisses, In: Artificial Intelligence and Information – Control Systems of Robots (I. Plander, ed.), North–Holland, Amsterdam, 1984, pp. 163–166 (1984) Zbl0559.68069
  6. Hájek P., Havránek T., Jiroušek R., Uncertain Information Processing in Expert Systems, CRC Press, Boca Raton 1992 MR1253068
  7. Hájek P., Valdés J. J., An analysis of MYCIN–like expert systems, Mathware & Soft Computing 1 (1994), 45–68 (1994) MR1301960

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.