Results 211 to 220 of about 30,440 (261)
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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 Novak
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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 Novak
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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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The representations of fuzzy concepts based on the fuzzy matrix theory and the AFS theory
Proceedings of the 2003 IEEE International Symposium on Intelligent Control ISIC-03, 2003In many fuzzy systems, the membership functions of fuzzy concepts are obtained by the expert's experiences. Different persons may have different membership functions for the same fuzzy concept and the current algorithms for determining membership functions are not universal. So that many mathematical tools can not applied to the fuzzy model.
Liu Xiaodong +2 more
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Topological Theory of Fuzziness
1999The intention of this article is to show how fuzzy set theory fits into classical topology. The basic concepts are filter and ideal bases and morphisms on these. Filter bases are used to define abstract distances. Then compositions and comparisons of filter and ideal bases are considered and uniform neighborhood measures between such bases are ...
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Fuzzy transforms: Theory and applications
Fuzzy Sets and Systems, 2006In this paper the technique of the direct and inverse fuzzy transform is introduced and approximation properties of the inverse fuzzy transform are established. Two new fuzzy transforms based on operations of a residuated lattice on \([0,1]\) are introduced. These new lattice fuzzy transforms lead to new approximation models. Three types of the inverse
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