
AbstractThe last decade has seen an enormous development in infinite-valued systems and in particular in such systems which have become known as mathematical fuzzy logics.The paper discusses the mathematical background for the interest in such systems of mathematical fuzzy logics, as well as the most important ones of them. It concentrates on the propositional cases, and mentions the first-order systems more superficially. The main ideas, however, become clear already in this restricted setting.
Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations, infinite valued logics, triangular norm based logics, residuated lattices, Fuzzy logic; logic of vagueness, infinite-valued logics, algebraic semantics, History of mathematical logic and foundations, Many-valued logic, triangular-norm-based logic, 03B52, fuzzy logic, 03B50, fuzzy logics
Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations, infinite valued logics, triangular norm based logics, residuated lattices, Fuzzy logic; logic of vagueness, infinite-valued logics, algebraic semantics, History of mathematical logic and foundations, Many-valued logic, triangular-norm-based logic, 03B52, fuzzy logic, 03B50, fuzzy logics
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