Future states forecasting under uncertainty by using non-deterministic conditional relations
by Juliusz L. Kulikowski
International Journal of Data Analysis Techniques and Strategies (IJDATS), Vol. 4, No. 2, 2012

Abstract: A problem of extrapolation of a large class of processes and of their future states forecasting based on their occurrence in the past is considered. Discrete-time discrete-value processes are presented as instances of relations subjected to the general extended algebra of relations rules. The notions of relative relations, parametric relations and non-deterministic relations have been introduced. For extrapolated process states assessment relative credibility levels of process trajectories are used. The variants of direct one-step, indirect one-step and direct multi-step process extrapolation are described and illustrated by numerical examples. Basic notions of extended algebra of relations are given in the Appendix.

Online publication date: Sat, 06-Sep-2014

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