Results 271 to 280 of about 13,148,733 (307)

On the Visualization of Discrete Non-additive Measures

2017
Non-additive measures generalize additive measures, and have been utilized in several applications. They are used to represent different types of uncertainty and also to represent importance in data aggregation. As non-additive measures are set functions, the number of values to be considered grows exponentially.
Juhee Bae, Elio Ventocilla, Maria Riveiro 0001, Vicenç Torra   +3 more
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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.
Yasuo Narukawa, Toshiaki Murofushi
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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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Entropy for non-additive measures in continuous domains

Fuzzy Sets and Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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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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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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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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