Results 281 to 290 of about 402,684 (305)

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

Updating non-additive measures with fuzzy information

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Virginia R. Young, Shaun S. Wang
openaire   +2 more sources

Conditioning (updating) non-additive measures

Annals of Operations Research, 1994
Several update rules for non-additive probabilities, among them the Dempster-Shafer rule for belief functions and certain update rules in the spirit of Bayesian statistics with multiple prior probabilities, are reviewed, investigated and compared with each other. This is done within the unifying framework of general, nonadditive measure and integration
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +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

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

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
openaire   +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