Application of uncertain and random variables to knowledge-based pattern recognition

• Autorzy: Bubnicki Z. , Szala M.
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with recognition problems based on relational knowledge representations with two kinds of unknown parameters: uncertain parameters characterized by certainty distributions given by an expert and random parameters described by probability distributions. After a short presentation of uncertain variables and their application to the knowledge-based recognition under uncertainty, the different versions in two formulations of the recognition problem are discussed. In the first formulation two unknown parameters (uncertain and random) in the relation describing the set of object to be recognized are considered. The second formulation concerns the case with one unknown parameter in the knowledge representation, described by a certainty distribution with a random parameter or by a probability distribution with an uncertain parameter. Simple examples illustrate the presented approach. The application of so called C-uncertain variables and the description of the recognition system with three-level uncertainty are included.

Słowa kluczowe

EN

uncertain systems; pattern recognition; probability distributions; decision making; approximation theory; set theory

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2003
• Tom: Vol. 29, nr 3
• Strony: 37--52
• Opis fizyczny: Bibliogr. 9 poz.,

Twórcy

autor

Bubnicki Z.

• Institute of Control Systems Engineering, Wroclaw University of Technology, Wybrzeże Wyspiańskiego 2750-370 Wroclaw, Poland

autor

Szala M.

• Institute of Control Systems Engineering, Wroclaw University of Technology, Wybrzeże Wyspiańskiego 2750-370 Wroclaw, Poland

Bibliografia

• [1] Bubnicki Z., Knowledge validation and updating in a class of uncertain distributed knowledge systems, [in:] Zhongzhi Shi, Boi Faltings, Mark Musen (eds.), Proceedings of 16th IFIP World Com¬puter Congress, Intelligent Information Processing, Beijing, China, 2000, 516-523.
• [2] Bubnicki Z., Uncertain variables and their applications for a class of uncertain systems, International Journal of Systems Science, 32, No. 5, 2001, 651-659.
• [3] Bubnicki Z., Uncertain variables and their application to decision making, IEEE Trans, on SM Part A: Systems and Humans, 31, No. 6, 2001, 587-596.
• [4] Bubnicki Z., Uncertain Logics, Variables and Systems, Springer-Verlag, Berlin, London, 2002.
• [5] Bubnicki Z., Application of uncertain variables to decision making in a class of distributed соmputer systems, [in:] M. Musen, B. Neumann and R. Studer (eds.), Proceedings of 17th IFIP World Computer Congress, Intelligent Information Processing, Montreal 2002, 261-264.
• [6] Bubnicki Z., Aplication of uncertain variables in a class of control systems with uncertain and random parameters. Proceedings of the European Control Conference, Cambridge 2003.
• [7] Bubnicki Z., The application of learning algorithms and uncertain variables in the knowledge-based pattern recognition, Artificial Life and Robotics, 5, (2003).
• [8] Bubnicki Z., Analysis and Decision Making in Uncertain Systems, Springer-Verlag, Berlin, London N.Y. 2004, (in preparation).
• [9] Szala M., Two-level pattern recognition in a class of knowledge-based systems, Knowledge-Based Systems, 15/1-2, 2002, 95-101.