On logical and algebraic foundations of approximate reasoning

The paper presents the idea to establish the theory of fuzzy logic in broader sense (FLb), to integrate the results of fuzzy logic in narrow sense, parts of the theory of linguistic semantics and fuzzy logic models. The goal is to make it a precise formal theory and to find invariant relations among its semantical elements. Some formal issues towards this goal presented elsewhere are recalled and a way to formulation of theorems is outlined. New results about correlations among elements in FLb models are proved.