<b>Alternative set theory; Boolean and fuzzy relations; Checklist paradigm semantics for fuzzy logics; Inference of monotone Boolean functions; Optimization in Boolean classification problems; Optimization in classifying text documents</b><b>Alternative set theory; Boolean and fuzzy relations; Checklist paradigm semantics for fuzzy logics; Inference of monotone Boolean functions; Optimization in Boolean classification problems; Optimization in classifying text documents</b>FINITE COMPLETE SYSTEMS OF MANY-VALUED LOGIC ALGEBRAS