A defuzzification method of fuzzy numbers induced from weighted aggregation operations

Authors:
Yuji Yoshida
Affiliations:
Faculty of Economics and Business Administration, University of Kitakyushu, Kokuraminami, Kitakyushu, Japan
Venue:
MDAI'06 Proceedings of the Third international conference on Modeling Decisions for Artificial Intelligence
Year:
2006

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Abstract

An evaluation method of fuzzy numbers is presented from the viewpoint of aggregation operators in decision making modeling. The method is given by the quasi-arithmetic means induced from weighted aggregation operators with a decision maker's subjective utility. The properties of the weighted quasi-arithmetic mean and its translation invariance are investigated. For the mean induced from the dual aggregation operators, a formula for the calculation is also given. The movement of the weighted quasi-arithmetic means is studied in comparison between two decision maker's utilities, which are essentially related to their attitude in decision making. Several examples are examined to discuss the properties of this defuzzification method.