Results 281 to 290 of about 1,304,290 (311)

On Regularity for Non-additive Measure

2011
In this paper, we give a certain result on the regularity for nonadditive Borel measure under the conditions of weakly null additivity, a continuity from above, and a certain additional continuity.
Toshikazu Watanabe, Tamaki Tanaka
openaire   +1 more source

The Total Variation Distance for Comparing Non-Additive Measures

Int. J. Uncertain. Fuzziness Knowl. Based Syst.
The Total Variation is a common distance between probability distributions that measures the maximum difference in probability among all events. When comparing non-additive measures, that can be represented by closed and convex sets of probability ...
David Nieto-Barba, Enrique Miranda, Ignacio Montes   +2 more
semanticscholar   +1 more source

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
openaire   +1 more source

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
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

Ternary Kleenean Non-additive Measures

2003
Tomoyuki Araki, Masao Mukaidono, Fujio Yamamoto   +2 more
openaire   +2 more sources

Knapsack problems with dependencies through non-additive measures and Choquet integral

European Journal of Operational Research, 2021
G. Beliakov
semanticscholar   +1 more source

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
openaire   +1 more source

The properties of some non-additive measures

Fuzzy Sets and Systems, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources