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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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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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Mathematical fuzzy logic with many dual hedges
Proceedings of the Fifth Symposium on Information and Communication Technology - SoICT '14, 2014This paper proposes an axiomatization of mathematical fuzzy logic with many dual hedges. We extend an axiomatization of mathematical fuzzy logic with one truth-stressing and one truth-depressing hedges as an expansion of a core fuzzy logic with new unary connectives by Esteva et al.
Van Hung Le 0001 +2 more
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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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Mathematical Philosophy and Fuzzy Logic
2020Mathematics in general is an abstraction. Of course, if it is not an easy subject, but in the same time it is rewarding one. We have to keep in mind that Mathematics is a part of our culture. In developed, developing and underdeveloped countries nobody can count himself truly good educated without Mathematical Concepts.
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Mathematical modeling of the lambda switch: A fuzzy logic approach
Journal of Theoretical Biology, 2009Gene regulation plays a central role in the development and functioning of living organisms. Gaining a deeper qualitative and quantitative understanding of gene regulation is an important scientific challenge. The Lambda switch is commonly used as a paradigm of gene regulation.
Laschov, Dmitriy, Margaliot, Michael
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Fuzzy description logics in the framework of mathematical fuzzy logic
2015Fuzzy 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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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 fuzzy logic and natural numbers
Fundam. Informaticae, 2007Recently, Grzegorczyk has posed the following problem: When weakening Robinson's arithmetic \(Q\) by replacing the binary operations of addition and multiplication by ternary operations that define functions possibly not total, is such a theory still essentially undecidable such as Robinson's classical arithmetic?
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Mathematical Foundations of Fuzzy Logic
1999Our motivation to enter into the foundations of fuzzy logic is based on five aspects. First, fuzzy logic complements parity logic in a unique way and represents currently the most versatile branch of approximate and causal reasoning, in particular with respect to fuzzy cognitive maps in almost every field of psychology.
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