Financial Stock Data and Ordered Fuzzy Numbers

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.

[1]  Witold Kosinski.  On Defuzzyfication of Ordered Fuzzy Numbers , 2004, ICAISC.

[2]  Dominik Ślęzak,et al.  On Algebraic Operations on Fuzzy Reals , 2003 .

[3]  R. Goetschel,et al.  Elementary fuzzy calculus , 1986 .

[4]  Didier Dubois,et al.  Gradual Numbers and Their Application to Fuzzy Interval Analysis , 2008, IEEE Transactions on Fuzzy Systems.

[5]  Piotr Prokopowicz,et al.  Fuzziness – Representation of Dynamic Changes by Ordered Fuzzy Numbers , 2009 .

[6]  Jörg H. Siekmann,et al.  Artificial Intelligence and Soft Computing - ICAISC 2004 , 2004, Lecture Notes in Computer Science.

[7]  Didier Dubois,et al.  Gradual elements in a fuzzy set , 2008, Soft Comput..

[8]  Janusz Kacprzyk,et al.  Views on Fuzzy Sets and Systems from Different Perspectives , 2009 .

[9]  Dominik Ślęzak,et al.  Ordered fuzzy numbers , 2003 .

[10]  Witold Kosiński,et al.  On fuzzy number calculus , 2006 .

[11]  Przychód i koszt całkowity przedsiębiorstwa wyrażony przy użyciu skierowanych liczb rozmytych , 2012 .

[12]  Witold Kosinski,et al.  Defuzzification and implication within ordered fuzzy numbers , 2010, International Conference on Fuzzy Systems.

[13]  Tadeusz Burczynski,et al.  Financial Fuzzy Time Series Models Based on Ordered Fuzzy Numbers , 2013, Time Series Analysis, Modeling and Applications.

[14]  Witold Pedrycz,et al.  Time Series Analysis, Modeling and Applications - A Computational Intelligence Perspective , 2013, Time Series Analysis, Modeling and Applications.

[15]  Hung T. Nguyen,et al.  A note on the extension principle for fuzzy sets , 1978 .