New methods of probabilistic and possibilistic interactive data processing

Article type: Research Article

Authors: Rebiasz, Bogdan^*

Affiliations: AGH University of Science and Technology, Faculty of Management, Poland, Gramatyka, Krakow

Correspondence: [*] Corresponding author. Bogdan Rebiasz, AGH University of Science and Technology, Faculty of Management, Poland, Gramatyka 10, 30-067, Krakow. Tel.: +48 12 617 4280; Fax: +48 12 636 70 05; E-mail: brebiasz@zarz.agh.edu.pl.

Abstract: This paper presents the methods of processing interactive data describing different forms of uncertainty. Data can be expressed in the form of interactive possibility distribution or the part of data can be expressed in the form of interactive possibility distribution and the part in the form of probability distribution. The procedure of processing combines stochastic simulation with nonlinear programming or simulation of fuzzy systems. The interaction between data are modeled by the correlation matrices and the interval regression. Presented practical example indicates that an interaction between data have a significant impact on results of calculations. Data processing without consideration of these interrelations would bear a considerable, systematic error.

Keywords: Data processing, dependence, possibility distribution, fuzzy numbers, random fuzzy numbers

DOI: 10.3233/IFS-151993

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2639-2656, 2016