Search results for "fuzzy logics"

showing 4 items of 4 documents

Weakly algebraizable logics

2000

AbstractIn the paper we study the class of weakly algebraizable logics, characterized by the monotonicity and injectivity of the Leibniz operator on the theories of the logic. This class forms a new level in the non-linear hierarchy of protoalgebraic logics.

AlgebraPhilosophyClass (set theory)HierarchyLogicLeibniz operatorMonotonic functionT-norm fuzzy logicsMathematicsJournal of Symbolic Logic
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Integrating resolution—like procedures with Lukasiewicz implication

1993

We discuss some conceptual and technical problems raised by the attempt of integrating resolution-like procedures with the use of Lukukasiewicz implication Min{1, 1 – [a] + [b]} in an environment of approximate reasoning modelled by fuzzy logics.

Deductive reasoningComputer scienceCalculusApproximate reasoningResolution (logic)approximate reasoningFuzzy logicfuzzy logics
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Quantum Finite Automata and Logics

2006

The connection between measure once quantum finite automata (MO-QFA) and logic is studied in this paper. The language class recognized by MO-QFA is compared to languages described by the first order logics and modular logics. And the equivalence between languages accepted by MO-QFA and languages described by formulas using Lindstrom quantifier is shown.

Discrete mathematicsLindström quantifierNested wordAbstract family of languagesComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Computer Science::Computational ComplexityComputer Science::Digital LibrariesAlgebraTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESMonoidal t-norm logicComputer Science::Programming LanguagesQuantum finite automataEquivalence (formal languages)T-norm fuzzy logicsComputer Science::Formal Languages and Automata TheoryAND gateMathematics
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Employing fuzzy logic in the diagnosis of a clinical case

2010

Fuzzy logic is a logical calculus which operates with many truth values (while classical logic works with the two values of true and false). Since fuzzy logic considers the truth of scientific statements like something softened, it is fruitfully applied to the study of biological phenomena, biology is indeed considered the field of complexity, uncertainty and vagueness. In this paper fuzzy logic is successfully applied to the clinical diagnosis of a patient who suffers from different diseases bound by a complex causal chain. In this work it is presented a mathematical foundation of fuzzy logic (with connectives and inference rules) and then the application of fuzzy reasoning to the study of…

business.industryProbabilistic logic networkMany-valued logicMultimodal logicDynamic logic (modal logic)Paraconsistent logicSettore M-FIL/02 - Logica E Filosofia Della ScienzaArtificial intelligenceT-norm fuzzy logicsbusinessFuzzy Logic Probabilistic Logic Clinical diagnosis Biological phenomena TruthHigher-order logicFuzzy logicHealth
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