Results 241 to 250 of about 1,001,033 (292)

Fuzzy topology: Fuzzy closure operator, fuzzy compactness and fuzzy connectedness

Fuzzy Sets and Systems, 1993
By a fuzzy topology on a set \(X\) the authors realize a mapping \(\tau: I^ X\to I\) such that \(\tau(0)= \tau(1)=1\), \(\tau(U\wedge V)\geq \tau(U)\wedge \tau(V)\) for any \(U,V\in I^ X\), and \(\tau(\bigvee U_ i)\geq \bigwedge\tau(U_ i)\) for every family \(\{U_ i\): \(i\in {\mathcal I}\}\subset I^ X\). (The authors make reference to their paper [the
Chattopadhyay, K. C., Samanta, S. K.
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FUZZY INCLUSION AND FUZZY SIMILARITY WITH GÖDEL FUZZY IMPLICATOR [PDF]

New Mathematics and Natural Computation, 2009
Fuzzy inclusion and fuzzy similarity are introduced as mappings which produce fuzzy sets constructed with the help of Gödel implicator. The properties of resulting fuzzy sets of inclusion and similarity are studied in detail. Some axiomatic characteristics for being fuzzy orders and fuzzy equivalence relations are also included.
ISMAT BEG, SAMINA ASHRAF
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FUZZY ORDERING OF FUZZY NUMBERS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
In this paper we are interested in determining the fuzzy ordering, from smallest to largest, of any finite set of fuzzy numbers. We investigate two methods: (1) using a weak fuzzy ordering; and (2) using a strong fuzzy ordering. Employing a strong fuzzy ordering we show that any finite set of fuzzy numbers has a unique ranking from smallest to largest.
Buckley, James J., Eslami, Esfandiar
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Fuzzy Ontology, Fuzzy Description Logics and Fuzzy-OWL

2007
The conceptual formalism supported by an ontology is not sufficient for handling vague information that is commonly found in many application domains. We describe how to introduce fuzziness in an ontology. To this aim we define a framework consisting of a fuzzy ontology based on Fuzzy Description Logic and Fuzzy---Owl.
CALEGARI, SILVIA, CIUCCI, DAVIDE ELIO
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Fuzzy number fuzzy measures and fuzzy integrals. (I). Fuzzy integrals of functions with respect to fuzzy number fuzzy measures

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Congxin, Zhang, Deli, Guo, Caimei, Wu, Cong   +3 more
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Fuzzy sets, fuzzy algebra, and fuzzy statistics

Proceedings of the IEEE, 1978
The extension of algebraic and analytical concepts to the theory of fuzzy sets appears to play a central role in the investigation of nondeterministic techniques. Since an exact description of any real physical situation is virtually impossbile, it is necessary to develop schemes which deal analytically with decision processes in an imprecise ...
A. Kandel, W.J. Byatt
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Fuzzy contactibility and fuzzy variables

Fuzzy Sets and Systems, 1982
Abstract This paper gives some advanced developments of possibility measure theory. There are two problems being solved in this paper: 1. 1. What is the most essential property of the possibility measures? 2. 2. What is the measure extension theorem concering the possibility measures?
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Fuzzy-Wahrscheinlichkeiten, Fuzzy-Alternativen, Fuzzy-Zustände

1988
Neben Entscheidungsmodellen, in denen vage Nutzenbewertungen und ungenaue Informationen in Gestalt unscharfer Mengen in das System integriert werden, findet man in der Literatur auch Modelle mit Fuzzy-Wahrscheinlichkeiten, Fuzzy-Alternativen und/oder Fuzzy-Zustanden.
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Fuzzy Fractals and Fuzzy Turbulence

IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 2004
In this paper, we have defined and discussed fuzzy fractals from image generation point of view. We have also proposed a fuzzy system modeling of a two dimensional turbulence just as a chaotic occurrence of fuzzy vortices in a two dimensional dynamic fluid.
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Fuzzy probability over fuzzy -field with fuzzy topological spaces

Fuzzy Sets and Systems, 2000
In the classical paper [J. Math. Anal. Appl. 23, 421-427 (1968; Zbl 0174.49002)] \textit{L. A. Zadeh} defined a probability of a fuzzy event \(\mu:\Omega\to [0,1]\) as \(m(\mu)=\int \mu dP\), where \((\Omega,\mathcal{F},P)\) is a classical probability space. Since then many authors have generalized this definition into different directions.
Chiang, Jershan, Yao, Jing-Shing
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