Applications of a Stochastic–Fuzzy Approach to Modeling and Optimal Control of Discrete Time Systems by Using Large Scale Data Processing: An advanced Approach

Abstract

The main purpose of this chapter is to  propose  a mathematical method to fuzzy control of the stochastic-fuzzy object. The proposed hybrid method uses both the stochastic–fuzzy knowledge base describing the object under control, as well as the large scale data to calculate probabilities of fuzzy conditional statements in the knowledge base. This study includes: the  presentation of multistage fuzzy optimization methods with reference to the dynamical discrete systems represented by deterministic, stochastic and fuzzy models (paragraph 2); the proposition of modeling stochastic-fuzzy object under control in the form of knowledge base (paragraph 3). Exemplary calculations illustrate the theoretical description.