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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.
Vicente Pascual, Ginés Moreno
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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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Toward Problems for Mathematical Fuzzy Logic
2006 IEEE International Conference on Fuzzy Systems, 2006The paper discusses some open problems in the field of mathematical fuzzy logic which may have a decisive influence for the future development of fuzzy logic within the next decade.
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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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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 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.
Michael Margaliot, Dmitriy Laschov
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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) 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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Mathematical Fuzzy Logic: A Good Theory for Practice
2010We discuss the present state of mathematical fuzzy logic in narrow sense, its extension - fuzzy logic in broader sense (FLb) as a logic of natural human reasoning and also some related theories, e.g., the fuzzy transform. We argue that these are good theories with potential to be very practical.
Vilém Novák, Irina Perfilieva
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Mathematics and Logic Behind Boolean and Fuzzy Computation
2017Boolean algebra (BA) was introduced by George Boole in his first book The Mathematical Analysis of Logic (1847) and set forth more fully in his An Investigation of the Laws of Thought (1854). According to Huntington, the term “Boolean algebra” was first suggested by Sheffer in 1913.
Masoud Moghaddam, Bahman Zohuri
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