Results 11 to 20 of about 7,984 (185)
The completeness and separability of function spaces in nonadditive measure theory
Fuzzy Sets and Systems, 2023 For a nonadditive measure $μ$, the space $\mathcal{L}^0(μ)$ of all measurable functions, the Choquet-Lorentz space $\mathcal{L}^{p,q}(μ)$, the Lorentz space of weak type $\mathcal{L}^{p,\infty}(μ)$, the space $\mathcal{L}^\infty(μ)$ of all $μ$-essentially bounded measurable functions, and their quotient spaces are defined together with suitable ...
Jun Kawabe, Naoki Yamada
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Some Coding Theorems for Nonadditive Generalized Mean-Value Entropies
International Journal of Mathematics and Mathematical Sciences, 2012 We give an optimality characterization of nonadditive generalized mean-value entropies from suitable nonadditive and generalized mean-value properties of the measure of average length.
Satish Kumar, Gurdas Ram, Vishal Gupta
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Unified entropic measures of quantum correlations induced by local measurements [PDF]
, 2016 We introduce quantum correlations measures based on the minimal change in unified entropies induced by local rank-one projective measurements, divided by a factor that depends on the generalized purity of the system in the case of non-additive entropies.
Bellomo, G. +4 more
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Abstract and Applied Analysis, 2014 This paper deals with the Choquet integral of fuzzy-number-valued functions based on the nonnegative real line. We firstly give the definitions and the characterizations of the Choquet integrals of interval-valued functions and fuzzy-number-valued ...
Zengtai Gong, Li Chen, Gang Duan
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Combining ability of Phaseolus vulgaris L. for resistance to common bacterial blight
Genetics and Molecular Biology, 1999 Many diseases limit dry bean and snap bean yields. Common bacterial blight (CBB), caused by Xanthomonas axonopodis pv. phaseoli, is one of the most serious bacterial diseases in dry bean and snap bean that cause crop losses.
Rosana Rodrigues +3 more
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Estimation of Fuzzy Measures Using Covariance Matrices in Gaussian Mixtures
Applied Computational Intelligence and Soft Computing, 2012 This paper presents a novel computational approach for estimating fuzzy measures directly from Gaussian mixtures model (GMM). The mixture components of GMM provide the membership functions for the input-output fuzzy sets. By treating consequent part as a
Nishchal K. Verma
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Nonadditive measures of average charge for heterogeneous questionnaires
Information and Control, 1979 Mechanical and logical systems admit an ‘additivity’ law of measures. However in other systems, such as biological and social systems, this may not hold. A simple non-additive model based on λ-non-additivity is considered. We characterize average charge for heterogeneous questionnaires under λ-nonadditivity and show that there are only two forms of the
Sharma, Bhu Dev, Garg, Asha
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Thermodynamics, stability and Hawking-Page transition of Kerr black holes from R\'enyi statistics [PDF]
, 2017 Thermodynamics of rotating black holes described by the R\'enyi formula as equilibrium and zeroth law compatible entropy function is investigated. We show that similarly to the standard Boltzmann approach, isolated Kerr black holes are stable with ...
Czinner, Viktor G., Iguchi, Hideo
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Monotonic decrease of the quantum nonadditive divergence by projective measurements [PDF]
Physics Letters A, 2003 Nonadditive (nonextensive) generalization of the quantum Kullback-Leibler divergence, termed the quantum q-divergence, is shown not to increase by projective measurements in an elementary manner.
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Information Theory based on Non-additive Information Content
, 2001 We generalize the Shannon's information theory in a nonadditive way by focusing on the source coding theorem. The nonadditive information content we adopted is consistent with the concept of the form invariance structure of the nonextensive entropy. Some
A. K. Rajagopal +25 more
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