EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES-Reference-Cited by-同舟云学术

EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES

Published:2004-02 Issue:01 Volume:12 Page:61-68
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

LI JUN¹,YASUDA MASAMI²

Affiliation:

1. Department of Applied Mathematics, Southeast University, Nanjing 210096, People's Republic of China

2. Department of Mathematics & Informatics, Faculty of Science, Chiba University, Chiba 263-8522, Japan

Abstract

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. The converse problem of the theorems are discussed, and a necessary and sufficient condition for the Egoroff's theorem is obtained on semicontinuous fuzzy measure space with S-compactness.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488504002655

Reference14 articles.

1. On the continuity of certain non-additive set functions

2. On Egoroff's theorems on fuzzy measure spaces

3. Order continuous of monotone set function and convergence of measurable functions sequence

4. Convergence of sequence of measurable functions on fuzzy measure spaces

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