4.4 Article

Aggregation of ordinal information

Journal

FUZZY OPTIMIZATION AND DECISION MAKING
Volume 6, Issue 3, Pages 199-219

Publisher

SPRINGER
DOI: 10.1007/s10700-007-9008-8

Keywords

aggregation operations; information fusion; ordinal operators; linguistic values; uni-norm; ordinal weighted average

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Our interest is with the fusion of information which has an ordinal structure. Information fusion in this environment requires the availability of ordinal aggregation operations. Basic ordinal operations are first introduced. Next we investigate conjunctive and disjunction aggregations of ordinal information. The idea of a pseudo-log in the ordinal environment is presented. We discuss the introduction of a zero like point on an ordinal scale along with the related ideas of bipolarity (positive and negative values) and uni-norm aggregation operators. We introduce mean like aggregation operators as well weighted averages on a ordinal scale. The problem of selecting between ordinal models is considered.

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