Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
394688 | Information Sciences | 2012 | 25 Pages |
Abstract
This paper presents basic notions about fuzzy measures over algebras of fuzzy subsets of a fuzzy set. It also presents basic ideas on fuzzy integrals defined using these fuzzy measures. Definitions of new types of fuzzy measures and integrals are motivated by our research on generalized quantifiers. Several useful properties of fuzzy measures and fuzzy integrals are stated and proved. Definitions presented in this paper and its results will be employed in subsequent papers on generalized quantifiers defined using this type of fuzzy integral.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Antonín Dvořák, Michal Holčapek,