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Exponential Entropy for Simplified Neutrosophic Sets and Its Application in Decision Making
Entropy is one of many important mathematical tools for measuring uncertain/fuzzy information. As a subclass of neutrosophic sets (NSs), simplified NSs (including single-valued and interval-valued NSs) can describe incomplete, indeterminate, and ...
Jun Ye, Wenhua Cui
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On Entropy of Some Fractal Structures
Shannon entropy, also known as information entropy or entropy, measures the uncertainty or randomness of probability distribution. Entropy is measured in bits, quantifying the average amount of information required to identify an event from the ...
Haleemah Ghazwani +3 more
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Rényi Entropies of Dynamical Systems: A Generalization Approach [PDF]
Entropy measures have received considerable attention in quantifying the structural complexity of real-world systems and are also used as measures of information obtained from a realization of the considered experiments. In the present study, new notions
Zahra Eslami Giski +2 more
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: Entropy is a basic physical quantity that led to various, and sometimes apparently conflicting interpretations. It has been successively assimilated to different concepts such as disorder and information.
Jean-Bernard Brissaud
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Information Entropy Measure for Evaluation of Image Quality [PDF]
This paper presents a simple and straightforward method for synthetically evaluating digital radiographic images by a single parameter in terms of transmitted information (TI). The features of our proposed method are (1) simplicity of computation, (2) simplicity of experimentation, and (3) combined assessment of image noise and resolution (blur).
Du-Yih Tsai, Yongbum Lee, Eri Matsuyama
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MAXIMIZABLE INFORMATIONAL ENTROPY AS A MEASURE OF PROBABILISTIC UNCERTAINTY [PDF]
In this work, we consider a recently proposed entropy S defined by a variational relationship [Formula: see text] as a measure of uncertainty of random variable x. The entropy defined in this way underlies an extension of virtual work principle [Formula: see text] leading to the maximum entropy [Formula: see text].
Ou, C. J. +6 more
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Entropy, complexity, and spatial information [PDF]
We pose the central problem of defining a measure of complexity, specifically for spatial systems in general, city systems in particular. The measures we adopt are based on Shannon's (in Bell Syst Tech J 27:379-423, 623-656, 1948) definition of ...
Masucci, P +7 more
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The Information Loss of a Stochastic Map
We provide a stochastic extension of the Baez–Fritz–Leinster characterization of the Shannon information loss associated with a measure-preserving function. This recovers the conditional entropy and a closely related information-theoretic measure that we
James Fullwood, Arthur J. Parzygnat
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Predictive information in Gaussian processes with application to music analysis [PDF]
This is the author's accepted manuscript of this article. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-40020-9.Lecture Notes in Computer ScienceLecture Notes in Computer ScienceWe describe an information ...
Geometric Science of Information +2 more
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Entropy Measures of Probabilistic Linguistic Term Sets
The probabilistic linguistic term sets (PLTSs) are powerful to deal with the hesitant linguistic situation in which each provided linguistic term has a probability.
Hongbin Liu, Le Jiang, Zeshui Xu
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