Noncommutative self-identity aggregation

doi:10.1016/0165-0114(95)00325-8

1997-01-01

PRE

Ronald R. Yager *

Alexander Rybalov

DOI：10.1016/0165-0114(95)00325-8

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摘要

En 中文

We introduce a number of properties associated with the aggregation of scores. Notable among these is the property of self-identity. The property of commutativity is discussed and a number of situations in which this is an inappropriate condition to assume are presented. Motivated by these examples we consider a linear class of noncommutative aggregation 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.

Keyword:

aggregation

operators

noncommutative

fuzzy sets