Abstract
The paper is concerned with static uncertain systems described by a function or by a relation. Unknown parameters in the mathematical models are considered as so called uncertain variables described by certainty distributions given by an expert. Two versions of the uncertain variables based on two versions of uncertain logics are defined. In the second part of the paper the formulations of the analysis and decision making problems adequate to the description of uncertainty are presented and the general procedures of the problem solving are described. Simple examples and an algorithm of the decision problem solving for a discrete case illustrate the computational aspects of the approach based on the uncertain variables and the possibility of the application to computer-aided analysis and decision making.
This work was supported by the State Committee for Scientific Research under grant no. 8 T11C 012 16.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bubnicki, Z.: Logic-algebraic method for a class of knowledge based systems. In: Moreno-Diaz, R., Pichler, F. (eds.) EUROCAST 1997. LNCS, vol. 1333, pp. 420–428. Springer, Heidelberg (1997)
Bubnicki, Z.: Logic-algebraic approach to a class knowledge based fuzzy control systems. In: Proc. of European Control Conference, Brussels, Belgium, vol. 1 (1997); TU-E-G2
Bubnicki, Z.: Logic-algebraic method for knowledge-based relation systems. Systems Analysis Modelling and Simulation 33, 21–35 (1998)
Bubnicki, Z.: Uncertain variables and learning algorithms in knowledge-based control systems. Artificial Life and Robotics 3(3) (1999)
Bubnicki, Z.: Uncertain variables and logic-algebraic method in knowledge-based systems. In: Hamza, M.H. (ed.) Intelligent Systems and Control. Proc. of IASTED International Conference, Halifax, Canada, pp. 135–139. Acta Press, Zurich (1998)
Bubnicki, Z.: Learning processes and logic-algebraic method in knowledge-based control systems. In: Tzafestas, S.G., Schmidt, G. (eds.) Progress in System and Robot Analysis and Control Design. Lecture Notes in Control and Information Sciences, vol. 243, pp. 183–194. Springer, London (1998)
Bubnicki, Z.: Learning control systems with relational plants. In: Proc. of European Control Conference, Karlsruhe, Germany (1999)
Dubois, D., Wellman, M.P., D’Ambrosio, B., Smets, P.: Uncertainty in Artificial Intelligence. Morgan Kaufmann, San Mateo (1992)
Klir, G.J., Folger, T.A.: Fuzzy Sets, Uncertainty, and Information. Prentice-Hall, Englewood Cliffs (1988)
Ranze, K.C., Stuckenschmidt, H.: Modelling Uncertainty in Expertise. In: Cuena, J. (ed.) Proc. of the XV IFIP World Computer Congress, Vienna, Austria, and Budapest, Hungary, pp. 105–116. Osterreichische Computer Gesellschaft, Vienna (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bubnicki, Z. (2000). Uncertain Variables in the Computer Aided Analysis of Uncertain Systems. In: Kopacek, P., Moreno-DÃaz, R., Pichler, F. (eds) Computer Aided Systems Theory - EUROCAST’99. EUROCAST 1999. Lecture Notes in Computer Science, vol 1798. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10720123_47
Download citation
DOI: https://doi.org/10.1007/10720123_47
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67822-9
Online ISBN: 978-3-540-44931-7
eBook Packages: Springer Book Archive