Fuzzy decision making systems based on interval type-2 fuzzy sets

In this paper, we present a new method for fuzzy multiple attributes decision making based on interval type-2 fuzzy sets. First, we present a new fuzzy ranking method based on the α-cuts of interval type-2 fuzzy sets. Then, based on the proposed fuzzy ranking method of interval type-2 fuzzy sets, we present a new method for fuzzy multiple attributes decision making. The proposed method can overcome the drawbacks of Liu and Su’s method and Wang and Luo’s method due to the fact that it can deal with the ranking of interval type-2 fuzzy sets to distinguish the preference order of the alternatives. The proposed fuzzy multiple attributes decision making method is more flexible and more intelligent than Chen and Lee’s method due to the fact that it not only uses interval type-2 fuzzy sets, but also considers the decision-maker’s attitude towards risks.