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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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On a fuzzy theory of grammar system
2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011The contribution sketches some ways of how to introduce uncertainty into grammar systems - a syntactic grammar theoretical framework for dealing with decentralized cooperating information processing systems - using the basic concepts of fuzzy set theory.
Jozef Kelemen, Alica Kelemenová
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Joint Consistency of Fuzzy Theories
MLQ, 2002For Łukasiewicz fuzzy logic, i.e. for infinite-valued Łukasiewicz logic with graded entailment, the author discusses and proves suitable generalizations of the Craig Interpolation Theorem and of the Craig-Robinson Joint Consistency Theorem, and develops the necessary model-theoretic tools he needs for the proofs.
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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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On a class of Fuzzy Set Theories
2007 IEEE International Fuzzy Systems Conference, 2007This paper studies the main properties of a broad class of Fuzzy Set Theories that we call Minimal Fuzzy Set Theories. We investigate the fulfillment of well-known properties, such as idempotency or the existence of absorbent elements. The paper shows, in particular, that these theories do always verify the Kleene's law, as well as the Non ...
Enric Trillas +2 more
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Applications of fuzzy set theory
IEEE Transactions on Systems, Man, and Cybernetics, 1985A state-of-the-art review of the literature related to applications of fuzzy set theory with special emphasis on fuzzy industrial controllers is presented. It is demonstrated that fuzzy set theory is applicable to a wide range of practical problems and that simple fuzzy control algorithms do give good results.
J. Maiers, Yosef S. Sherif
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Fuzzy Sets and Systems, 2008
Graded properties are a natural tool in connection with graded membership or truth degrees. The author considers here the basic notions and ideas of filter theory and generalizes them, in a natural way, using the formal background of fuzzy class theory as conceived by \textit{L. Běhounek} and \textit{P. Cintula} [Fuzzy Sets Syst.
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Graded properties are a natural tool in connection with graded membership or truth degrees. The author considers here the basic notions and ideas of filter theory and generalizes them, in a natural way, using the formal background of fuzzy class theory as conceived by \textit{L. Běhounek} and \textit{P. Cintula} [Fuzzy Sets Syst.
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Constructive theory for fuzzy systems
Fuzzy Sets and Systems, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, P.-Z. +3 more
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On an Intuitionistic Fuzzy Probability Theory
2015We present some basic facts about a probability theory on IF-events. It is based on the Lukasiewicz operations and on the corresponding probability theory. We present a representation theorem originally published, as reported by Riecan (Soft Methodology and Random Information Systems, pp 243–248, [21]).
Katarína Cunderlíková +1 more
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