Aggregation operators and associated fuzzy measures

Authors
Benvenuti, P Vivona, D Divari, M
Citation
P. Benvenuti et al., Aggregation operators and associated fuzzy measures, INT J UNC F, 9(2), 2001, pp. 197-204
Citations number
16
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
ISSN journal
02184885 → ACNP
Volume
9
Issue
2
Year of publication
2001
Pages
197 - 204
Database
ISI
SICI code
0218-4885(200104)9:2<197:AOAAFM>2.0.ZU;2-2
Abstract
The natural properties of the aggregation operators and the most elementary ones are the idempotence, the monotonicity and the continuity from below. We assume only these properties for the aggregation operators with infinite ly many inputs, defined by functionals on the family of measurabe functions . A family of fuzzy measures is associated with each aggregation operator. The properties of horizontal or vertical pseudo-additivity ate recognizable by means of this family of fuzzy measures.