Abstract
A topological approach to the study of fuzzy measures is developed. To do so we need (instead of a clan of fuzzy sets) a more general structure of the domain of the fuzzy measures. This structure is defined by means of some equations. Our general setting allows us to treat simultaneously fuzzy measures, group-valued measures on Boolean rings, and linear operators on Riesz spaces. We deal with extension and decomposition theorems. Also we study connected, totally disconnected, and compact MV-algebras.
Cite
CITATION STYLE
Barbieri, G., & Weber, H. (1998). A Topological Approach to the Study of Fuzzy Measures. In Functional Analysis and Economic Theory (pp. 17–46). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-72222-6_3
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
