Methods of fuzzy sets theory for statistical analysis of mass service systems.
Keywords:
fuzzy sets, fuzzy logic, measures theory, systems of mass service, methods of pattern recognition theory, logical and functional programming.
Abstract
Approaches to the processing of fuzzy information are proposed in the conditions of incomplete determination of the vector of input characteristics, which are based on the theory of fuzzy sets and fuzzy measures. Their analysis have been carried out, the limits of their use, and areas of effective application, in particular, regarding mass service systems.
References
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Novak V., Perfiliev I., Mochkorzh. I. Mathematical Principles of Fuzzy Logic. M: Fiz. mat. lit, 2006.
Zadeh L.A. Outline of a new approach to the analysis jf complex systems and decision processes. IEEE. Trans. Syst. Man and Cybern. 1973. Vol. 3, N 1. C. 28-44.
Konysheva L.K., Nazarov D.M. Fundamentals of the theory of fuzzy sets. M: Peter 2011. 190 p.
Syavalko M. Mathematics of hidden possibilities. Ostrog: Publishing "Ostroh Academy", 2011.
Turksen I.B. Fuzzy expert systems. Ed. M. Zheleny. Petersburg: Peter. 2002. 1120 p.
Rothstein O.P., Rottshtein O.P., Zhupanova M.O., Sheverda V.M. Differential diagnosis of coronary heart disease on the basis of fuzzy logic. Herald VPI. 1994. №3, pp.32 -38.
Zimmermann H.J. Fuzzy Set Theory and it’s Applications. Kluner Academic Publishers, Dordrecht, Boston, MA, , 1991.
V.M. Zaiats, “Constraction and analises of model descrete oscillation systems”, Cybernetics and Systems Analysis, vol. 2,, Kiev, NAS of Ukraine, 2000, pp. 161-165.
V.M. Zaiats, The Models Descrete Oscillation Systems, Computer Tegnology of Print, Lviv,UAP, 2011, pp.37-39.
J. Vlach and K. Singhall. Computer Methods for Circuit Analysis and Design, New York, VNRC, 1980, 560 p.
L. Feldman, A. Petrenko and O. Dmitrieva. Numerical Methods in informatic, Kiev, BHV, 2006, 480 p.
G. Holl and J.M. Watt. Modern Numerical Methods for Ordinary Differential Equations,. Clarendon press, Oxford, 1979, 312 p.
D. Forsait, H.Malkom, K. Моuler. Computer Methods of Mathematics Calculations. Мoscow, Peaсe,1980, 282.p.
X. Shtetter. Analises Descretization for Original Differencial Equations. Мoskow, Peaсe,1978, 462 p.
V.M. Zaiats. Discrete Models of Oscillatory Systems for the Analysis of their Dynamics. Lviv, UAP, 2011, 284 p.
V.M. Zaiats, Methods, Algorithms and Software for Simulation and Analysis of the Dynamics of Complex Objects and Systems Based on Discrete Models. Lviv: New World, 2009, 400 p.
Erich Gamma, Richard Helm, Ralih Johnson, John Vlissides. Wzorce projektowe. Warszawa, Hellion, 2010. 376 p
Zaiats V.M., Rybytska O. M The hidden possibilities of mathematics for the statistical processing of information. Materials International scientific and technical conf. "System Analysis and Information Technologies" (SAIT-2013), May 27-31, 2013, NTUU "KPI". Kiev: 2013. P. 317-318.
Novak V., Perfiliev I., Mochkorzh. I. Mathematical Principles of Fuzzy Logic. M: Fiz. mat. lit, 2006.
Zadeh L.A. Outline of a new approach to the analysis jf complex systems and decision processes. IEEE. Trans. Syst. Man and Cybern. 1973. Vol. 3, N 1. C. 28-44.
Konysheva L.K., Nazarov D.M. Fundamentals of the theory of fuzzy sets. M: Peter 2011. 190 p.
Syavalko M. Mathematics of hidden possibilities. Ostrog: Publishing "Ostroh Academy", 2011.
Turksen I.B. Fuzzy expert systems. Ed. M. Zheleny. Petersburg: Peter. 2002. 1120 p.
Rothstein O.P., Rottshtein O.P., Zhupanova M.O., Sheverda V.M. Differential diagnosis of coronary heart disease on the basis of fuzzy logic. Herald VPI. 1994. №3, pp.32 -38.
Zimmermann H.J. Fuzzy Set Theory and it’s Applications. Kluner Academic Publishers, Dordrecht, Boston, MA, , 1991.
V.M. Zaiats, “Constraction and analises of model descrete oscillation systems”, Cybernetics and Systems Analysis, vol. 2,, Kiev, NAS of Ukraine, 2000, pp. 161-165.
V.M. Zaiats, The Models Descrete Oscillation Systems, Computer Tegnology of Print, Lviv,UAP, 2011, pp.37-39.
J. Vlach and K. Singhall. Computer Methods for Circuit Analysis and Design, New York, VNRC, 1980, 560 p.
L. Feldman, A. Petrenko and O. Dmitrieva. Numerical Methods in informatic, Kiev, BHV, 2006, 480 p.
G. Holl and J.M. Watt. Modern Numerical Methods for Ordinary Differential Equations,. Clarendon press, Oxford, 1979, 312 p.
D. Forsait, H.Malkom, K. Моuler. Computer Methods of Mathematics Calculations. Мoscow, Peaсe,1980, 282.p.
X. Shtetter. Analises Descretization for Original Differencial Equations. Мoskow, Peaсe,1978, 462 p.
V.M. Zaiats. Discrete Models of Oscillatory Systems for the Analysis of their Dynamics. Lviv, UAP, 2011, 284 p.
V.M. Zaiats, Methods, Algorithms and Software for Simulation and Analysis of the Dynamics of Complex Objects and Systems Based on Discrete Models. Lviv: New World, 2009, 400 p.
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Published
2020-03-12
How to Cite
Zaiats , V., RybytskaО., Majewski, J., Marciniak , T., & Zaiats, M. (2020). Methods of fuzzy sets theory for statistical analysis of mass service systems . COMPUTER-INTEGRATED TECHNOLOGIES: EDUCATION, SCIENCE, PRODUCTION, (38), 23-32. https://doi.org/10.36910/6775-2524-0560-2020-38-04
Section
Automation and Control
