NONCOMMUTATIVE SELF-IDENTITY AGGREGATION

Authors
YAGER RR RYBALOV A
Citation
Rr. Yager et A. Rybalov, NONCOMMUTATIVE SELF-IDENTITY AGGREGATION, Fuzzy sets and systems, 85(1), 1997, pp. 73-82
Citations number
5
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
85
Issue
1
Year of publication
1997
Pages
73 - 82
Database
ISI
SICI code
0165-0114(1997)85:1<73:NSA>2.0.ZU;2-M
Abstract
We introduce a number of properties associated with the aggregation of scores. Notable among these is the property of self-identity. The pro perty of commutativity is discussed and a number of situations in whic h this is an inappropriate condition to assume are presented. Motivate d by these examples we consider a linear class of noncommutative aggre gation operators. We show how the requirement of self-identity imposes a useful restriction on the weights associated with this aggregation. A number of special families of this class are investigated.