RDM interval arithmetic for solving economic problem with uncertain variables

• Autorzy: Landowski M.
• Języki publikacji: EN

Abstrakty

EN

Uncertain variables are often used for solving realistic problems. To find the solution of a realistic problem the model with uncertain variable has to be built. Based on the model with uncertain variables operations on intervals are necessary. The article presents the multidimensional RDM interval arithmetic and its application to solving an economic problem. Obtained solutions are compared with results from the one dimensional Moore interval arithmetic and global optimization.

Słowa kluczowe

EN

RDM; interval arithmetic; economic problem; uncertain variables

PL

RDM; problem ekonomiczny; zmienne niepewne

• Wydawca: Sieć Badawcza Łukasiewicz - Poznański Instytut Technologiczny
• Czasopismo: Logistyka
• Rocznik: 2014
• Tom: nr 6
• Opis fizyczny: Bibliogr. 13 poz., rys., tab., pełen tekst na CD

Twórcy

autor

Landowski M.

• Engineering-Economy of Transport Faculty, Transport Management Institute, Maritime Academy in Szczecin

Bibliografia

• 1. Boading L., Uncertainty theory, 2nd ed., Springer-Verlag, 2007.
• 2. Klir G. J. and Yuan B., Fuzzy sets, fuzzy logic, and fuzzy systems. Selected paper by L. Zadeh, World Scientific, Singapore, New Jersey, 1996.
• 3. Landowski M., Differences between Moore and RDM Interval Arithmetic, Proceedings of the 7th International Conference Intelligent Systems IEEE IS'2014, September 24-26, 2014, Warsaw, Poland, Volume 1: Mathematical Foundations, Theory, Analyses, Intelligent Systems'2014, Advances in Intelligent Systems and Computing, Springer International Publishing Switzerland, Vol. 322, pp. 331-340, 2015.
• 4. Liu S. and Lin Forest J. Y., Grey systems, theory and applications, Springer, Berlin, Heidelberg, 2010.
• 5. Moore R. E., Interval analysis. Prentice Hall, Englewood Clis, New Jersey, 1966.
• 6. Moore R. E., Kearfott R. B. and Cloud M. J., Introduction to interval analysis, SIAM, Philadelphia, 2009.
• 7. Pedrycz W., Skowron A. and Kreinovich V. (eds), Handbook of granular computing, Wiley, Chichester, England, 2008.Logistyka 6/2014 13508Logistyka – naukaz W. and Gomide F., Fuzzy systems engineering, Wiley, Hoboken, New Jersey, 2007.
• 9. Piegat A. and Landowski M., Is the conventional interval-arithmetic correct? Journal of Theoretical and Applied Computer Science,vol.6, no.2, pp.27-44, 2012.
• 10. Piegat A. and Landowski M., Multidimensional approach to interval uncertainty calculations, In: New Trends in Fuzzy Sets, Intuitionistic:Fuzzy Sets, Generalized Nets and Related Topics, Volume II: Applications, ed. K.T. Atanassov et al., IBS PAN - SRI PAS,Warsaw, Poland, pp. 137-151, 2013.
• 11. Piegat A. and Landowski M., Two Interpretations of Multidimensional RDM Interval Arithmetic - Multiplication and Division, International Journal of Fuzzy Systems, Vol. 15, No. 4, pp. 488-496, 2013.
• 12. Piegat A. and Landowski M., Correctness-checking of uncertain-equation solutions on example of the interval-modal method, In: Modern Approaches in Fuzzy Sets, Intuitionistic: Fuzzy Sets, Generalized Nets and Related Topics, Volume I: Foundations, ed. K.T.
• Atanassov at al., Publisher: IBS PAN - SRI PAS, Warsaw, Poland, pp. 159-170, 2014.
• 13. Schjӕr-Jacobsen H., Numerical Calculation of Economic Uncertainty by Interval and Fuzzy Numbers, Journal of Uncertain Systems,Vol. 4, No. 1, pp. 47-58, 2010