Abstract
In this contribution, we discuss properties which a formal logical theory (we call it the theory of evaluating expressions) should have to serve us as a tool for modeling of the meaning of a certain class of natural language expressions called evaluating ( linguistic) expressions. We further construct a formal theory for modeling of the meaning of sets of fuzzy IF–THEN rules (called linguistic descriptions) and finally present a basic schema of fuzzy logic deduction. The basis for our study is first-order fuzzy logic with evaluated syntax.
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