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An evolutionary algorithm determining a defuzzyfication functional

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Order fuzzy numbers are defined that make it possible to deal with fuzzy inputs quantitatively, exactly in the same way as with real numbers, together with four algebraic operations. An approximation formula is given for a defuzzyfication functional that plays the main role when dealing with fuzzy controllers and fuzzy inference systems. A dedicated evolutionary algorithm is presented in order to determine the form of a functional when a training set is given. The form of a genotype composed of three types of chromosomes and the fitness function are given and Genetic operators are proposed.
Rocznik
Strony
47--58
Opis fizyczny
Bibliogr. 28 poz., rys.
Twórcy
autor
  • Polish-Japanese Institute of Information Technology Research Center, Koszykowa 86, 02-008 Warsaw, Poland, wkos@pjwstk.edu.pl
Bibliografia
  • [1] Czogała E and Pedrycz W 1985 Elements and Methods of Fuzzy Set Theory, PWN, Warsaw, Poland (in Polish)
  • [2] Piegat A 1999 Fuzzy Modelling and Control, Akademicka Oficyna Wydawnicza PLJ, Warsaw (in Polish)
  • [3] Zadeh L A 1965 Information and Control 8 (3) 338
  • [4] Dubois D H and Prade H 1978 Int. J. Sys. Sci. 9 (6) 613
  • [5] Buckley J J and Eslami E 2005 An Introduction to Fuzzy Logic and Fuzzy Sets, Physica-Verlag, A Springer- Verlag Company, Heidelberg
  • [6] Wagenknecht M 2001 Fuzzy Sets and their Applications (Chojcan J and Łęski J, Eds), Wydawnictwo Politechniki Śląskiej, Gliwice, pp. 291-310 (in Polish)
  • [7] Wagenknecht M, Hampel R and Schneider V 2001 Fuzzy Sets and Systems 123 (1) 49
  • [8] Nguyen H T 1978 J. Math. Anal. Appl. 64 369
  • [9] Chen Guanrong and Phalli Trung Tat 2001 Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems, CRS Press, Boca Raton, London, New York, Washington, D. C.
  • [10] Drewniak J 2001 Fuzzy Sets and their Applications (Chojcan J and Łęski J, Eds), WPS, Gliwice, Poland, pp. 103-129 (in Polish)
  • [11] Klir G J 1997 Fuzzy Sets and Systems 91 (2) 165
  • [12] Kaufman A and Gupta M M 1991 Introduction to Fuzzy Arithmetic, Van Nostrand Reinhold, New York
  • [13] Kosiński W, Piechór K, Prokopowicz P and Tyburek K 2001 Methods of Artificial Intelligence in Mechanics and Mechanical Engineering, Gliwice, Poland (Burczyński T and Cholewa W, Eds), PACM, pp. 95-98
  • [14] Kosiński W 2004 Proc. 7th Int. Conf. Artificial Intelligence and Soft Computing – ICAISC 2004, Zakopane, Poland (Rutkowski L, Siekmann J, Tadeusiewicz Rand Zadeh L A, Eds), LNAI, Springer-Verlag, Berlin, Heidelberg, 3070, pp. 326-331
  • [15] Kosiński Wand Prokopowicz P 2004 Matematyka Stosowana. Matematyka dla Społeczeństwa 5 (46) 37 (in Polish)
  • [16] Kosiński W, Prokopowicz P and EH_zak D 2002 Proc. Intelligent Information Systems, Sopot, Poland (Kłopotek M, Wierzchoń S T and Michalewicz M, Eds), Physica Verlag, Heidelberg, pp. 311-320
  • [17] Kosiński W, Prokopowicz P and Ślęzak D 2002 Proc. Methods of Aritificial Intelligence, Gliwice, Poland (Burczyński T, Cholewa W and Moczulski W, Eds), PACM, pp. 231-237
  • [18] Kosiński W, Prokopowicz P and Ślęzak D 2003 Proc. 3rd Int. Conf. Intelligent Information Processing and Web Mining, Zakopane, Poland (Kłopotek M, Wierzchoń S T and Trojanowski K, Eds), Physica Verlag, Heidelberg, pp. 353-362
  • [19] Koleśnik R, Prokopowicz P and Kosiński W 2004 Proc. 7th Int. Conf. Artificial Intelligence and Soft Computing - ICAISC 2004, Zakopane, Poland (Rutkowski L, Siekmann J, Tadeusiewicz R, Zadeh L A, Eds), LNAI, Springer-Verlag, Berlin, Heidelberg, 3070, pp. 320-325
  • [20] Kosiński W, Prokopowicz P and Ślęzak D 2003 Bulletin of the Polish Academy of Sciences, Ser. Sci. Math. 51 (3) 327
  • [21] Kaucher E 1980 Computing, Suppl2 33
  • [22] Prokopowicz P 2005 Algorithmization of Operations on Fuzzy Numbers and its Applications, PhD Thesis, IPPT PAN (in Polish)
  • [23] Kosiński W 2006 Int. J. Appl. Math. Comput. Sci. 16 (1) 51
  • [24] Łojasiewicz S 1973 Introduction to the Theory of Real Functions, Biblioteka Matematyczna, PWN, Warsaw, 46 (in Polish)
  • [25] Kosiński W and Weigl M 1998 Sys. Anal. Model. Simul. 30 (1) 11
  • [26] Alexiewicz A 1969 Functional Analysis, Monografie Matematyczne, PWN, Warsaw, 49 (in Polish)
  • [27] Kosiński W 2006 Defuzzyfication Functionals of Ordered Fuzzy Numbers (submitted for publication)
  • [28] Mostowski A and Stark M 1965 Elements of Higher Algebra, PWN, Warsaw (in Polish)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG4-0035-0049
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