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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 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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Connecting Systems of Mathematical Fuzzy Logic with Fuzzy Concept Lattices
2018Peer ...
Pietro Codara +3 more
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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 Set-Based Approximate Reasoning and Mathematical Fuzzy Logic
2013Zadeh proposed and developed the theory of approximate reasoning in a long series of papers in the 1970’s (see e.g. [28–32, 34, 35]), at the same time when he introduced possibility theory [33] as a new approach to uncertainty modeling. His original approach is based on a fuzzy set-based representation of the contents of factual statements (expressing ...
Francesc Esteva, Lluís Godo
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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 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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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) Modelling of MIC by Fuzzy Logic
2016For a rather complex phenomenon like MIC that not only involves the interaction bwteen lifeless elements of electrochemistry but does also involve the actvity of living things such as bacteria, it may seem too ambitious a target to be able to define a predicatble model based on mathematics.
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Mediative fuzzy logic mathematical model: A contradictory management prediction in COVID-19 pandemic
Applied Soft Computing Journal, 2021Vishnu Narayan Mishra +2 more
exaly

