Hierarchical Knowledge-Based Fuzzy Models for Systems Described in Linguistic Categories

摘要

The fuzzy sets theory offers description for imprecisely formulated dependencies, values of variables, functions, relations and the imprecise values of truth. Knowledge-based systems applied in medicine, economy or in natural sciences require specific knowledge, which is derived from human experts. Knowledge is often expressed in linguistic categories, in a form of a collection of sentences. Mathematical methods proposed in the lecture use both, empirical data and experts' knowledge to create hierarchical knowledge-based fuzzy models of the tested systems. The probability of fuzzy event is also used to valuate rules in the model. Some exemplary calculations will be presented.