Fuzzy logic deduction in the frame of fuzzy logic in broader sense.

An important role in the fuzzy logic and the fuzzy control is played by linguistic descriptions, i.e. finite sets of IF-THEN rules. These rules often include the so-called evaluating linguistic expressions - natural language expressions which characterize a position on an ordered scale, usually on a real interval. The examples of evaluating linguistic expressions are small, more or less medium, approximately 20 etc. If given a linguistic description of a process, situation, environment etc., and an observation, i.e. a value measured in some concrete situations, the task is to determine the conclusion by some of plausible methods. This thesis proposes a methodology for dealing with the above-described situation and studies its properties. The basis for it is the fuzzy logic in the narrow sense with an evaluated syntax. IF-THEN rules are understood as linguistically expressed logical implications. We consistently distinguished three levels of the study - the linguistic, syntactic and semantic ones. The meaning of an evaluating linguistic expression is characterized on the syntactic level by its intension and on the semantic level by a class of its extensions.Available from STL Prague, CZ / NTK - National Technical LibrarySIGLECZCzech Republi