Results 251 to 260 of about 710,451 (294)
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Fuzzy Sets and Systems, 1997
The authors consider a generalization of the Shannon entropy of a random variable to some kinds of fuzzy random variables. They relate this generalized Shannon entropy to some other types of measures of uncertainty and information.
Francisco Criado, Tamaz Gachechiladze
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The authors consider a generalization of the Shannon entropy of a random variable to some kinds of fuzzy random variables. They relate this generalized Shannon entropy to some other types of measures of uncertainty and information.
Francisco Criado, Tamaz Gachechiladze
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On fuzzy entropy and topological entropy of fuzzy extensions of dynamical systems
Fuzzy Sets and Systems, 2017The concept of degrees of fuzziness due to \textit{A. De Luca} and \textit{S. Termini} [Inf. Control 20, 301--312 (1972; Zbl 0239.94028)] and fuzzy topological entropies and their relationships are studied. Such concepts are necessary for a proper understanding of fuzzy systems generated from crisp discrete dynamical systems.
Jose S. Cánovas, Jiri Kupka
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Fuzzy entropy on intuitionistic fuzzy sets
International Journal of Intelligent Systems, 2006In this article we exploit the concept of probability for defining the fuzzy entropy of intuitionistic fuzzy sets (IFSs). We then propose two families of entropy measures for IFSs and also construct the axiom definition and properties. Two definitions of entropy for IFSs proposed by Burillo and Bustince in 1996 and Szmidt and Kacprzyk in 2001 are used.
Wen-Liang Hung, Miin-Shen Yang
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ON THE ENTROPY OF FUZZY EVENTS
Kybernetes, 1983Entropy measures of fuzzy events of a set X with a (not necessary finite) positive measure µ defined on a σ‐algebra of subsets of X are studied. Using fuzzy measures and fuzzy integrals, a theorem is presented, which gives a sufficient condition for the existence of entropy measures under a list of reasonable axioms.
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2010
A definition for the entropy of fuzzy measures defined on set systems is proposed. The underlying set is not necessarily the whole power set, but satisfy a condition of regularity. This definition encompasses the classical definition of Shannon for probability measures, as well as the definition of Marichal et al.
Aoi Honda, Michel Grabisch
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A definition for the entropy of fuzzy measures defined on set systems is proposed. The underlying set is not necessarily the whole power set, but satisfy a condition of regularity. This definition encompasses the classical definition of Shannon for probability measures, as well as the definition of Marichal et al.
Aoi Honda, Michel Grabisch
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Fuzzy entropy and conditioning
Information Sciences, 1986A new nonprobabilistic entropy measure is introduced in the context of fuzzy sets or messages. Fuzzy units, or fits, replace bits in a new framework of fuzzy information theory. An appropriate measure of entropy or fuzziness of messages is shown to be a simple ratio of distances: the distances between the fuzzy message and its nearest and farthest ...
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Conditional fuzzy entropy of fuzzy dynamical systems
Fuzzy Sets and Systems, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ke-song Yan, Fan-ping Zeng
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On the entropy of fuzzy measures
IEEE Transactions on Fuzzy Systems, 2000Fuzzy measures provides a structure for modeling the knowledge available about variables whose values are unknown and uncertain. A large class of different types of uncertainty can be represented in this framework. In this work, we provide a measure of entropy that can be used to calculate the amount of uncertainty associated with a fuzzy measure.
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SYNTHESIS WITH RESPECT TO FUZZY ENTROPY
Kybernetes, 1983Summary—A synthesis process of a multiple description is defined on a lattice of fuzzy sets which differs from the usual one. Connections between these lattices are stated. Mathematical definitions are correlated with concepts of decision and system theory.
Di Nola, Antonio, Ventre, Aldo G. S.
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Fuzzy Partition Entropies and Entropy Constrained Fuzzy Clustering Algorithms
Journal of Intelligent & Fuzzy Systems, 1997This article introduces three families of fuzzy partition entropies and investigates their relationship with Bezdek's partition entropy. Bezdek's partition entropy is interpreted as the limit of partition entropies of order a, partition entropies of order β, and R-norm partition entropies introduced in this study.
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