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A virtual-structure-based type-3 fuzzy system for predictive sensor and actuator fault detection, compensation, and control in nonlinear systems. [PDF]
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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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Special Issue on Mathematical Fuzzy Logic
Journal of Logic and Computation, 2011Editoriale
Cintula P., Metcalfe G., Noguera C.
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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
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Triangular norm-based mathematical fuzzy logics
2005We consider particular classes of infinite-valued propositional logics which are strongly related to t-norms as conjunction connectives and to the real unit interval as set of their truth degrees.
Gottwald, S., Hájek, P. (Petr)
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Mathematical Success with Fuzzy Logic Modeling
Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022In this paper, the effect of high school students on mathematics achievement by taking active participation and absent of high school students was investigated by using fuzzy logic modeling. The questionnaire prepared by the researcher is applied to the students to determine the active participation of the students.
Ramazan UYHAN, Zülfiye GÖK
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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, Carol Walker, Elbert Walker
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Mathematics Based on Fuzzy Logic
2017Mathematical reasoning is governed by the laws of classical logic, based on the principle of bivalence. With the acceptance of intermediate truth degrees, the situation changed substantially. This chapter begins with a characterization of mathematics based on fuzzy logic, an identification of principal issues of its development, and an outline of this ...
Radim Bělohlávek +2 more
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