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Applications of Fuzzy Set Theory, Fuzzy Measure Theory and Fuzzy Differential Calculus
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Fuzzy Sets and Systems, 2005
Fuzzy logic was originally invented to describe human reasoning. The original fuzzy logic covered only propositional formulas. Later, quantifiers were added to fuzzy logic. However, an important part of human reasoning is still missing from fuzzy logic: arguments that usually require a higher-order logic. For example, we can say that \(X\) is a typical
Vilém Novák
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Fuzzy logic was originally invented to describe human reasoning. The original fuzzy logic covered only propositional formulas. Later, quantifiers were added to fuzzy logic. However, an important part of human reasoning is still missing from fuzzy logic: arguments that usually require a higher-order logic. For example, we can say that \(X\) is a typical
Vilém Novák
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Fuzzy Sets and Systems, 2000
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Mark Burgin
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Mark Burgin
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Fuzzy Logics and Fuzzy Model Theory
Algebra and Logic, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pal'chunov, D. E., Yakhyaeva, G. E.
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Fuzzy logic and fuzzy set theory
Archive for Mathematical Logic, 1992On the semantic side, the authors consider the truth degree set \([0,1]\) with a constant for the degree 0.5, with min, max, Gödel implication, the negation defined by it in the intuitionistic style, but also with Łukasiewicz's (1-..)-negation, bounded sum, and product as connectives, and with sup, inf as quantifiers.
Gaisi Takeuti, Satoko Titani
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FUZZY QUEUEING THEORY REVISITED
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001We first survey the basic results in recent paper on fuzzy queueing theory based on possibility theory. Then we apply this to two application problems: (1) machine servicing problem (optimal size of service crews); and (2) then a queueing decision problem where we find the optimal number of servers.
James J. Buckley +2 more
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Fuzzy ranking: theory and applications
Signal Processing, 2000The rank ordering of samples is widely used in robust signal processing. Recent advances have combined the rank ordering of samples with the natural time or spatial ordering of the observations through fuzzy set theory. This has lead to a novel set of signal processing tools, namely fuzzy time-rank relations, fuzzy time and rank ordered samples, and ...
Alexander Flaig +2 more
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Artificial Intelligence in Medicine, 1999
Recent advances in the foundations of fuzzy theory facilitated by Bart Kosko's discovery of the fuzzy hypercube are of high relevance to artificial intelligence in medicine research. The new concepts of set inclusion, equality, and similarity are therefore reported in this paper.
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Recent advances in the foundations of fuzzy theory facilitated by Bart Kosko's discovery of the fuzzy hypercube are of high relevance to artificial intelligence in medicine research. The new concepts of set inclusion, equality, and similarity are therefore reported in this paper.
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On fuzzy spaces and fuzzy group theory
Information Sciences, 1994The notion of fuzzy set was generalized in many directions, e.g.: \(L\)-fuzzy sets [\textit{J. A. Goguen}, J. Math. Anal. Appl. 18, 145--174 (1967; Zbl 0145.24404)], probabilistic sets [\textit{K. Hirota}, Fuzzy Sets Syst. 5, 31--36 (1981; Zbl 0442.60008)], intuitionistic fuzzy sets [\textit{K. Atanassov}, Fuzzy Sets Syst.
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