Systemy i sygnały rozmyte

• Autorzy: Butkiewicz B. S.

Warianty tytułu

EN

Fuzzy system and signals

• Języki publikacji: PL

Abstrakty

PL

Przedstawiono prace autora z ostatnich lat, dotyczące zagadnień systemów i sygnałów rozmytych analogowych i dyskretnych, a szczególnie ich podstawy teoretyczne, nigdy nie publikowane w kraju. Podano w skrócie definicje, będące uogólnieniem definicji tradycyjnych: przestrzeni funkcji rozmytych, transformaty Fouriera dla sygnałów rozmytych, rozmytych funkcji korelacji, splotu rozmytego. Podano przykłady i szkic zastosowania tych metod do analizy obrazów.

EN

Since 20 years the author occupies with fuzzy system and fuzzy reasoning. At the beginning, the papers concerned fuzzy control [1-3], fuzzy modeling [4] and approximate reasoning [5]. Here, only a few papers are cited form more than forty, which deal with these subjects. Recently, the main interest of the author was devoted to enlarge signal theory on fuzzy signals and time invariant systems. Most important papers concerned the definition of Fourier transform of fuzzy functions [6,8,13] and Laplace transform [12], fuzzy correlation functions [7,13], fuzzy convolution [8], and generally time invariant analog and discrete fuzzy systems [11]. Many of the papers have pioneer and pathfinder character. In this paper some of newest concept are presented, because they are never published in polish. In the paper the convention is adopted fuzzy variable and fuzzy parameters are denoted by normal fonts and crisp (not fuzzy) values by italic fonts.

Słowa kluczowe

PL

sygnał rozmyty; funkcja korelacji; transformata Fouriera; przetwarzanie obrazów

EN

fuzzy system; signals; fuzzy Fourier transform; correlation; convolution; image processing

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Elektronika : konstrukcje, technologie, zastosowania
• Rocznik: 2009
• Tom: Vol. 50, nr 8
• Strony: 80--83
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Butkiewicz B. S.

• Politechnika Warszawska, Wydział Elektroniki i Technik Informacyjnych

Bibliografia

• [1] Butkiewicz B. S.: Steady - State Error of a System with Fuzzy Controller. IEEE Transactions on System, Man, and Cybernetics, Part B: Cybernetics, vol. 28, no 6, ss. 855-860, Dec., 1998.
• [2] Butkiewicz B. S.: About Robustness of Fuzzy Logic PD and PID Controller under Changes of Reasoning Methods, in Advances in Computational Intelligence and Learning Methods and Applications. H-J. Zimmermann, G. Tselentis, M. van Someren, G. Dounias (eds.), ss. 307-318, Kluwer Academic Publishers, Boston. London, 2001.
• [3] Butkiewicz B. S.: Fuzzy Dynamic Systems and Fuzzy Theorem, in Fuzzy Logic, Soft Computing and Computational Intelligence. Y. Liu, G. Chen, M. Ying (eds.), vol. II, ss. 1078-1081, Tsinghua Uniyersity Press and Springer, Beijing, 2005.
• [4] Butkiewicz B. S.: Inference in Fuzzy Models of Physical Processes, in B. Reusch (ed.). Computational Intelligence Theory and Applications, Lecture Notes in Computer Science, 2206, ss. 782-790, Springer Verlag, Berlin, New York, 2001.
• [5] Butkiewicz B. S.: Metody wnioskowania przybliżonego. Właściwości i zastosowania, Ofic. Wyd. Politech. Warszawskiej, Prace Naukowe, Elektronika, z. 132, 2001, ss. 1-117.
• [6] Butkiewicz B. S.: Fuzzy approach to Fourier transform. Proceedings of SPIE, vol. 6159, pp. 1045-1050, 2006.
• [7] Butkiewicz B. S.: Fuzzy approach to correlation function. Lecture Notes in Artificial Intelligence. vol. 4029, pp. 202-211, Springer-Verlag, Berlin Heidelberg New York, 2006.
• [8] Butkiewicz B. S.: Towards Fuzzy Fourier Transform. Eleventh Int. Conf. Information Processing and Management of Uncertainty in Knowledge based Systems, pp.2560-2565, 2-7 July, Paris, France, 2006.
• [9] Butkiewicz B, S.: An Approach to Theory Fuzzy Discrete Signals, in Foundations of Fuzzy Logic and Soft Computing. R Mellin et all (eds.), Lecture Notes in Artificial Intelligence, vol. 4529, 646-655, Springer, Berlin, Heidelberg, 2007.
• [10] Butkiewicz B. S.: Fuzzy description of image processing. Proc. SPIE, vol. 6937, paper 69372K, ss. 1-7, 2007.
• [11] Butkiewicz B. S.: Fuzzy analog and discrete time invariant systems. Proc. SPIE, vol. 6937, invited paper 693736, pp. 1-8, 2007.
• [12] Butkiewicz B. S.: Fuzzy Approach to Laplace Transform. 15th Zittau East-West Fuzzy Colloquium, Conf. Proc. pp. 106-112 , Sept. 17-19, Zittau, Germany, 2008.
• [13] Butkiewicz B. S.: An Approach to Theory of Fuzzy Signals Basic Definitions. IEEE Transactions on Fuzzy Systems, vol. 16, no 4, ss. 982-993, 2008.
• [14] Dubois D., Prade H.: Fuzzy Sets and Systems. Academic Press, New York, 1980.
• [15] Kerre E., Nachtegael M. (Eds.): Fuzzy Techniques in Image Processing. Springer, Studies in Fuzziness and Soft Computing, 2000.
• [16] Lee K. M., Favrel J., Hyung L. K., Chang-Bum Kim Ch. B.: Fuzzy convolution as a nonlinear digital filter. Fuzzy Information Processing Society, 1996. Biennial Conf. NAFIPS, Volume, Issue, 19-22 Jun 1996, pp. 577-580.
• [17] Nieradka G., Butkiewicz B. S.: A method for Automatic Member ship Function Estimation Based on Fuzzy Measures, w Foundation of Fuzzy Logic and Soft Computing. P. Mellin et. all. (eds.), Lecture Notes in Artificial Intelligence, vol. 4529, pp. 646-655, Springer, Berlin, 2007.
• [18] Sudkamp T.: On probability possibility transformations. Fuzzy Sets and Systems, vol. 51, pp. 73-81, 1992.
• [19] Zadeh L. A.: The Concept of a Linguistic Variable and its Application to Approximate Reasoning. Part 1, Information Sciences, vol. 8, pp. 199-249, 1975.