A Learning Algorithm for Level Sets Weights in Weighted Level-based Averaging Method

Authors:
Efendi N. Nasibov;Onur Baskan;Ali Mert
Affiliations:
Institute of Cybernetics, NAS of Azerbaijan, Turkey;Department of Statistics, Faculty of science, Ege University, Izmir, Turkey 35100;Department of Statistics, Faculty of science, Ege University, Izmir, Turkey 35100
Venue:
Fuzzy Optimization and Decision Making
Year:
2005

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Abstract

The method which we call the Weighted Averaging Based on Levels (WABL) can be used to calculate the average representative of a fuzzy number. It utilizes weight coefficients for the level sets as well as the sides of a fuzzy number. We have developed an algorithm to obtain these coefficients. The most remarkable feature of this algorithm is that it makes use of the decision maker's (DM) aggregation strategy.