Results 251 to 260 of about 666,395 (290)

On the f-divergence for discrete non-additive measures

Information Sciences, 2020
Distances of probability measures, including f-divergences, Hellinger distance, Kullback-Leibler divergence, etc., play an important role in information theory and statistics. In several cases, the connection between these distances and Radon-Nikodym derivatives is exploited.
Torra, Vicenç, Narukawa, Yasuo, Sugeno, Michio   +2 more
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Some aspects of non-additive measures

2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY), 2015
It is a well known fact that non-additive measures, i.e., monotone set functions, and corresponding integrals have been successfully applied in many different areas, both theoretical and practical. Due to the course of research, this problem has diversified into two directions.
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Regular non-additive measure and Choquet integral

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Y. Narukawa, T. Murofushi
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Identification of non-additive measures from sample data

2003
Non-additive measures have become a powerful tool in Decision Making. Therefore, a lot of problems can be solved through the use of Choquet integral with respect to a non-additive measure. Once the decision maker decides to use this criterion in his decision process, next step is to build the non-additive measure up.
Miranda, Pedro, Grabisch, Michel, Gil, Pedro   +2 more
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Solving nonlinear equations by non-additive measures

Nonlinear Analysis: Theory, Methods & Applications, 1997
The paper contains a review of some nonstandard methods in measure and integration theory (nonadditive set functions, Choquet and Sugeno integral, \(\oplus\)-decomposable measures) and their applications to nonlinear partial differential equations, optimization and decision theory.
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Cooperative Game as Non-Additive Measure

2014
This chapter surveys cooperative game theory as an important application based on non-additive measures. In ordinary cooperative game theory, it is implicitly assumed that all coalitions of N can be formed; however, this is in general not the case. Let us elaborate on this, and distinguish several cases: 1) Some coalitions may not be meaningful.
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Stochastic approximation with non-additive measurement noise

Journal of Applied Probability, 1998
The Robbins–Monro algorithm with randomly varying truncations for measurements with non-additive noise is considered. Assuming that the function under observation is locally Lipschitz-continuous in its first argument and that the noise is a φ-mixing process, strong consistency of the estimate is shown.
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Non-additive Measures, Envelopes and Extensions to Quasi-Measures

Sarajevo Journal of Mathematics
In the present paper, we introduce the notions of lower envelope and upper envelope for a [0, $\infty$]-valued function $\mu$ defined on a proper sublattice $M$ of a locally complete $\sigma$-continuous lattice $L$, and we extend a finite-stable, supermodular usc-measure $\mu$ on a proper sublattice $M$ of $L$ to a quasi$^{*}$-measure (i.e., a ...
Mona Khare, Soni Gupta
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The properties of some non-additive measures

Fuzzy Sets and Systems, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Lusin’s Theorem for Non-additive Measure

2011
In this paper, we prove Lusin’s theorem remains valid for nonadditive Borel measure under the conditions of weakly null additivity, continuity from above and a certain additional continuity.
Tamaki Tanaka, Toshikazu Watanabe
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