Regularity properties of null-additive fuzzy measure on metric spaces

Authors:
Jun Li;Masami Yasuda;Jinjie Song
Affiliations:
Department of Applied Mathematics, College of Science, Communication University of China, Beijing, China;Dep of Math & Infor, Chiba University, Chiba, Japan;Department of Computer Science and Engineering, Tianjin University of Technology, Tianjin, China
Venue:
MDAI'05 Proceedings of the Second international conference on Modeling Decisions for Artificial Intelligence
Year:
2005

Citing 4
Cited 6

Fuzzy measures on metric spaces

Fuzzy Sets and Systems
Regular fuzzy measure and representation of comonotonically additive functional

Fuzzy Sets and Systems
Fuzzy regular measures on topological spaces

Fuzzy Sets and Systems
Fuzzy Measure Theory

Fuzzy Measure Theory

A Jensen type inequality for fuzzy integrals

Information Sciences: an International Journal
The Alexandroff theorem for Riesz space-valued non-additive measures

Fuzzy Sets and Systems
Regularity and autocontinuity of set multifunctions

Fuzzy Sets and Systems
A Lusin type theorem for regular monotone uniformly autocontinuous set multifunctions

Fuzzy Sets and Systems
On the regularities of fuzzy set multifunctions with applications in variation, extensions and fuzzy set-valued integrability problems

Information Sciences: an International Journal
Atoms of weakly null-additive monotone measures and integrals

Information Sciences: an International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

We shall discuss further regularity properties of null-additive fuzzy measure on metric spaces following the previous results. Under the null-additivity condition, some properties of the inner/outer regularity and the regularity of fuzzy measure are shown. Also the strong regularity of fuzzy measure is discussed on complete separable metric spaces. As an application of strong regularity, we present a characterization of atom of null-additive fuzzy measure.