Aggregation of Linguistic Information Based on a Symbolic Approach

A summary on the symbolic basic arithmetic operators and aggregation operators of linguistic information developed by the authors is presented. In particular, label addition, label difference, product of a label by a positive real number, and convex combination of labels are shown as the symbolic basic arithmetic operators, and two aggregation operators of linguistic information built using those tools are described. The first one, called the Linguistic Ordered Weighted Averaging operator, is used to deal with linguistic information with equal importance, and the second one, called the Linguistic Weighted Averaging operator, is used to deal with weighted linguistic information.

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