Results 221 to 230 of about 12,821,662 (251)
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Updating non-additive measures with fuzzy information
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Virginia R. Young, Shaun S. Wang
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Regular non-additive measure and Choquet integral
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yasuo Narukawa, Toshiaki Murofushi
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Lebesgue theorems in non-additive measure theory
Fuzzy Sets and Systems, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinjie Song, Jun Li
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Some aspects of non-additive measures
2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY), 2015It 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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EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004In 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, 2008The 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 +2 more
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The Egoroff theorem for non-additive measures in Riesz spaces
Fuzzy Sets and Systems, 2006For 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 \
Jun Kawabe
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Use and Applications of Non-Additive Measures and Integrals
2014Non-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), 2005In 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, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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