Summary
A concept of uncertain variables and their application in a class of uncertain systems has been developed. In this paper, after a short description of uncertain variables, nonparametric decision problems based on uncertain, random and fuzzy variables are presented. The analogies lead to the formulation of so called soft variables described by evaluating functions, introduced as a tool for a unification and generalization of decision problems based on uncertain knowledge representations. The application of the soft variables to a class of decision problems and a “principle of equivalency” concerning two different formulations of a knowledge given by an expert are presented.
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. (1998) Uncertain variables and logic-algebraic method in knowledge based systems. In: Proc. of International Conference on Intelligent Systems and Control in Halifax. Acta Press, Zurich, pp 135–139
Bubnicki, Z. (2000) A unified approach to decision making and control in knowledge-based uncertain systems. In: Computing Anticipatory Systems: CASYS’00 — Fourth International Conference. American Institute of Physics, Melville N. York, pp 545–557
Bubnicki, Z. (2000) Uncertain variables in the computer aided analysis of uncertain systems. In: Computer Aided Systems Theory. Lecture Notes in Computer Science. Springer Verlag, Berlin, pp 528–542
Bubnicki, Z. (2000) Knowledge validation and updating in a class of uncertain distributed knowledge systems. In: Proc. of 16th IFIP World Computer Congress. Intelligent Information Processing. Publishing House of Electronics Industry, Beijing, pp 516–523
Bubnicki, Z. (2001) Uncertain variables and their applications for a class of uncertain systems. International Journal of Systems Science 32, 651–659
Bubnicki, Z. (2001) Uncertain variables and their application to decision making. IEEE Trans. on SMC, Part A: Systems and Humans 31, 587–596
Bubnicki, Z. (2001) A unified approach to descriptive and prescriptive concepts in uncertain decision systems. In: Proc. of the European Control Conference. Porto, Portugal, pp 2458–2463
Bubnicki, Z. (2002) Uncertain Logics, Variables and Systems. Springer-Verlag, Berlin London (in press)
Bubnicki, Z. (2002) A unified approach to descriptive and prescriptive concepts in uncertain decision systems. Systems Analysis Modelling Simulation 42, 331–342
Bubnicki, Z. (2002) Stability and stabilization of discrete systems with random and uncertain parameters. In: Proc. of 15th IFAC World Congress. Barcelona, Spain
Bubnicki, Z. (2002) Uncertain variables and their application to decision making for a class of dynamical uncertain systems. In: Proc. of 15th International Conference on Systems Engineering. Las Vegas, USA
Bubnicki, Z. (2002) Application of uncertain variables for a class of intelligent knowledge-based assembly systems. Proc. of 7th International Symposium on Artificial Life and Robotics. Oita, Japan, vol 1, pp 98–101
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bubnicki, Z. (2003). Soft Variables as a Generalization of Uncertain, Random and Fuzzy Variables. In: Rutkowski, L., Kacprzyk, J. (eds) Neural Networks and Soft Computing. Advances in Soft Computing, vol 19. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1902-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-7908-1902-1_2
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0005-0
Online ISBN: 978-3-7908-1902-1
eBook Packages: Springer Book Archive