Results 271 to 280 of about 13,463,233 (298)

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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Lebesgue theorems in non-additive measure theory

Fuzzy Sets and Systems, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinjie Song, Jun Li
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EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
In this paper, the well-known Egoroff's theorem in classical measure theory is established on monotone non-additive measure spaces. Taylor's theorem, which concerns almost everywhere convergence of measurable function sequence in classical measure theory, is also generalized.
Jun Li 0014, Masami Yasuda
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Precise determination of non-additive measures

2008 IEEE Conference on Cybernetics and Intelligent Systems, 2008
The Choquet integral model has been shown useful in many practical applications due to its distinguished feature that the interaction among predictive attributes toward the objective attribute can be properly reflected through a set of non-additive measures.
null Hai-Feng Guo, null Wen Zheng, null Song Ci   +2 more
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Use and Applications of Non-Additive Measures and Integrals

2014
Non-additive measures (also known as fuzzy measures and capacities) and integrals have been used in several types of applications. In this chapter we review the main definitions related to these measures, motivate their use from the point of view of the applications, and describe their use in different contexts. © 2014 Springer International Publishing
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Choquet integral with respect to a regular non-additive measure

2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542), 2005
In this paper, some properties of two types of regular non-additive measure are studied. The various regularities are arranged and their correlation is clarified. The properties reflected by the Choquet integral with respect to a regular fuzzy measure are stated.
Yasuo Narukawa, Toshiaki Murofushi
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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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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 Egoroff theorem for non-additive measures in Riesz spaces

Fuzzy Sets and Systems, 2006
For a \(\sigma\)-algebra \(\mathcal{F}\) on a set \(X\) and a Riesz space \(V\), an increasing mapping \(\mu: \mathcal{F} \to V\), with \( \mu(\emptyset) =0\) is called a non-additive measure. \(\mu\) is called continuous from below if \( A_{n} \downarrow A \) implies \(\mu( A_{n}) \downarrow \mu( A)\), and continuous from above if \( A_{n} \uparrow A \
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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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