Results 241 to 250 of about 670,776 (291)
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International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008
In this paper we deal with the entropy of fuzzy sets. We first review several defined entropies of fuzzy sets and then propose a new one. Some comparisons are made with some existing entropies to show the effectiveness of the proposed one.
Chao-Ming Hwang, Miin-Shen Yang
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In this paper we deal with the entropy of fuzzy sets. We first review several defined entropies of fuzzy sets and then propose a new one. Some comparisons are made with some existing entropies to show the effectiveness of the proposed one.
Chao-Ming Hwang, Miin-Shen Yang
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Axiomatic framework of fuzzy entropy and hesitancy entropy in fuzzy environment
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ting-Ting Xu +2 more
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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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Entropy for intuitionistic fuzzy sets
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eulalia Szmidt, Janusz Kacprzyk
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On local entropy of fuzzy partitions
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Rahimi
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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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