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What is mathematical fuzzy logic
Fuzzy Sets and Systems, 2006This is an overview paper that was written as a response to the discussion on the question: \textit{which of many systems of many-valued logics should be called fuzzy logic?} This question has been raised on the international conference ``The Logic of Soft Computing IV'', which took place in Ostrava, Czech Republic, in October 2005.
Petr Hajek
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A 0-1 Law in Mathematical Fuzzy Logic
IEEE Transactions on Fuzzy Systems, 2022This paper continues the theoretical study of weighted structures in mathematical fuzzy logic focusing on the finite model theory of fuzzy logics valued on arbitrary finite MTL-chains. We show that for any first-order (or infinitary with finitely many variables) formula phi, there is a unique truth-value that phi takes almost surely in every finite ...
Guillermo Badia, Carles Noguera
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Toward Problems for Mathematical Fuzzy Logic
2006 IEEE International Conference on Fuzzy Systems, 2006The paper discusses some open problems in the field of mathematical fuzzy logic which may have a decisive influence for the future development of fuzzy logic within the next decade.
S Gottwald
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A General Omitting Types Theorem in Mathematical Fuzzy Logic
IEEE Transactions on Fuzzy Systems, 2021This paper is a contribution to the theoretical study of weighted structures in fuzzy logic. We consider an important item from classical model theory: the construction of models that do not have any collection satisfying certain prescribed properties, that is, an omitting types theorem.
Guillermo Badia, Carles Noguera
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Mathematical aspects of fuzzy sets and fuzzy logic
Fuzzy Sets and Systems, 2005The paper considers some of the main trends of the development of mathematical fuzzy logic and of formalized fuzzy set theory which came out in the history of fuzzy sets, and which aim to give solid theoretical foundations for fuzzy set theory.
Siegfried Gottwald
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A Mathematical Setting for Fuzzy Logics
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1997The setup of a mathematical propositional logic is given in algebraic terms, describing exactly when two choices of truth value algebras give the same logic. The propositional logic obtained when the algebra of truth values is the real numbers in the unit interval equipped with minimum, maximum and -x=1-x for conjunction, disjunction and negation ...
Mai Gehrke +2 more
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Special Issue on Mathematical Fuzzy Logic
Journal of Logic and Computation, 2011Editoriale
Petr Cintula +2 more
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2017
The term “fuzzy logic” (FL) is a generic one, which stands for a broad variety of logical systems. Their common ground is the rejection of the most fundamental principle of classical logic—the principle of bivalence—according to which each declarative sentence has exactly two possible truth values—true and false.
Radim Belohlavek +2 more
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The term “fuzzy logic” (FL) is a generic one, which stands for a broad variety of logical systems. Their common ground is the rejection of the most fundamental principle of classical logic—the principle of bivalence—according to which each declarative sentence has exactly two possible truth values—true and false.
Radim Belohlavek +2 more
openaire +1 more source