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Fuzzy description logics in the framework of mathematical fuzzy logic
, 2015 Fuzzy Description Logics (DLs) are a logical formalism for the representation of structured knowledge affected by imprecision or vagueness. The chapter provides insights in terms of Mathematical Fuzzy Logic.
Bobillo F +5 more
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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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Mathematical Modelling and Fuzzy Logic
Mathematical knowledge beginning with, very simple mathematical definitions to very complex expressions is necessary for mathematical modelling. The same reality is true for Fuzzy Logic.
Ozok, Ahmet Fahri
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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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Programming with Fuzzy Logic and Mathematical Functions
2006This paper focuses on the integration of the (also integrated) declarative paradigms of functional logic and fuzzy logic programming, in order to obtain a richer and much more expressive framework where mathematical functions cohabit with fuzzy logic features.
Ginés Moreno, Vicente Pascual
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Mathematical Principles of Fuzzy Logic
, 1999 Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems
Vilém Novák +2 more
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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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From (Deductive) Fuzzy Logic to (Logic-Based) Fuzzy Mathematics
2009It is indisputable that mathematical structures arising around vague/ fuzzy/ non-bivalent concepts have a broad range of applications; therefore they have been intensively investigated during the last five decades. The discipline studying these structures is, maybe unfortunately, called Fuzzy Mathematics .
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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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