A note on the fuzzy weighted additive rule

Abstract

The characteristic or attribute of a fuzzy weighted additive rule (FWAR) is presented. FWAR has provided a method of assessing weights for criteria based on the fuzzy opinions of experts. The method is to elicit weights for aggregating the fuzzy sets of Type 1 and Type 2 by using quadratic programming. But FWAR has not expressed a specific description on the information of experts' overall evaluations for alternatives. If the style of experts' overall evaluations is characterized as linear additive weighting of the performances of alternative for criterion, then the optimal aggregated value of the given performances of alternative is given by the arithmetic mean of the experts' overall evaluations, without solving time-consuming quadratic programming in FWAR.