Abstract
Financial stock time series are presented together with the so-called Japanese candlesticks. Model of Ordered Fuzzy Numbers is shortly presented and its use in presentation of Japanese candlesticks. Then the ogive, the graphical representation of the cumulative relative frequency of transactions is introduced, as the next characteristic of price time series. Linear operations on ogive curves are defined. It is shown that ogive is reflecting some properties of stock time series additional to the Japanese candlestick.
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
Dubois, D., Prade, H.: Gradual elements in a fuzzy set. Soft. Comput. 12, 165–175 (2008), doi:10.1007/s00500-007-0187-6
Fortin, J., Dubois, D., Fargier, H.: Gradual numbers and their application to fuzzy interval analysis. IEEE Trans. Fuzzy Syst. 16(2), 388–402 (2008)
Goetschel Jr., R., Voxman, W.: Elementary fuzzy calculus. Fuzzy Sets and Systems 18(1), 31–43 (1986)
Kacprzak, D.: Ordered fuzzy numbers in economical modelling. Optimum - Studia Ekonomiczne (3), 263–281 (2010) (in Polish)
Kacprzak, D.: Przychód i koszt całkowity przedsiębiorstwa wyrażony przy użyciu skierowanych liczb rozmytych, Zarządzanie i Finanse. Journal of Management and Finance 10(2/1), 139–149 (2012)
Kacprzak, D.: Applications of ordered fuzzy numbers to stock prices representation. Optimum - Studia Ekonomiczne (6) (2012)
Keller, G.L., Litchfield, R.: Candlestick Charting Explained, 3rd edn. McGraw-Hill, New York (2006)
Kosiński, W., Prokopowicz, P., Ślęzak, D.: On algebraic operations on fuzzy reals. In: Rutkowski, L., Kasprzyk, J. (eds.) Proc. of the Sixth Int. Conference on Neutral Networks and Soft Computing, Zakopane. Advances in Soft Computing, Physica-Verlag, Heidelberg (2002)
Kosiński, W., Prokopowicz, P., Kacprzak, D.: Fuzziness – representation of dynamic changes by ordered fuzzy numbers. In: Seising, R. (ed.) Views on Fuzzy Sets and Systems. STUDFUZZ, vol. 243, pp. 485–508. Springer, Heidelberg (2009)
Marszałek, A., Burczyński, T.: Financial fuzzy time series models based on ordered fuzzy numbers. In: Pedrycz, W., Chen, S.-M. (eds.) Time Series Analysis, Model. & Applications. ISRL, vol. 47, pp. 77–95. Springer, Heidelberg (2013)
Morris, G.L., Litchfield, R.: Candlestick Charting Explained. Timeless Techniques for Trading Stocks and Futures, 3rd edn. McGraw-Hill, New York (2006)
Kosiński, W.: On defuzzyfication of ordered fuzzy numbers. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 326–331. Springer, Heidelberg (2004)
Kosiński, W.: On fuzzy number calculus. Int. J. Appl. Math. Comput. Sci. 16(1), 51–57 (2006)
Kosiński, W., Prokopowicz, P., Ślęzak, D.: Ordered fuzzy numbers. Bulletin of the Polish Academy of Sciences, Sér. Sci. Math. 51(3), 327–338 (2003)
Kosiński, W., Prokopowicz, P.: Algebra of fuzzy numbers. Matematyka Stosowana. Matematyka dla Społeczeństwa 5(46), 37–63 (2004) (in Polish)
Kosiński, W., Piasecki, W., Wilczyńska-Sztyma, D.: On Fuzzy Rules and Defuzzification Functionals for Ordered Fuzzy Numbers. In: Burczyński, T., Cholewa, W., Moczulski, W. (eds.) Proc. of AI-Meth 2009 Conference, Gliwice. AI-METH Series, pp. 161–178 (Nowvember 2009)
Kosiński, W., Wilczyńska-Sztyma, D.: Defuzzification and implication within ordered fuzzy numbers. In: WCCI 2010 IEEE World Congress on Computational Intelligence, CCIB, Barcelona, Spain, July 18-23, pp. 1073–1079 (2010)
Nguyen, H.T.: A note on the extension principle for fuzzy sets. J. Math. Anal. Appl. 64, 369–380 (1978)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kacprzak, D., Kosiński, W., Kosiński, W.K. (2013). Financial Stock Data and Ordered Fuzzy Numbers. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2013. Lecture Notes in Computer Science(), vol 7894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38658-9_24
Download citation
DOI: https://doi.org/10.1007/978-3-642-38658-9_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38657-2
Online ISBN: 978-3-642-38658-9
eBook Packages: Computer ScienceComputer Science (R0)