A new method for fuzzy decision making based on ranking generalized fuzzy numbers and interval type-2 fuzzy sets

This paper presents a new method for fuzzy decision making based on ranking generalized fuzzy numbers and interval type-2 fuzzy sets. First, we propose a new fuzzy ranking method based on the α-cuts of generalized fuzzy numbers and interval type-2 fuzzy sets. The proposed fuzzy ranking method involves a decision-maker´s attitude towards risks to calculate the left areas and the right areas of generalized fuzzy numbers and interval type-2 fuzzy sets with the consideration of the heights of generalized fuzzy numbers and interval type-2 fuzzy sets. Based on the proposed fuzzy ranking method, we propose a new method for fuzzy decision making. The proposed fuzzy decision making method is more flexible and more intelligent than the existing fuzzy decision making methods, where it not only considers the decision-maker´s attitude towards risks, but also can deal with situations where the evaluating values are represented by interval type-2 fuzzy sets.