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Because of the ambiguity of people’s thinking and the complexity of objectives, it’s not always possible to use crisp data. Determining the amount of uncertainty is always a major challenge in decision making. The fuzzy sets theory which is proposed by (Zadeh, 1965) is a practical approach to overcoming uncertainty, as such, it assigns membership function to any non-deterministic event. Sometimes because of uncertainty determining the degree of membership isn’t possible. For this reason, (Zadeh, 1975) by considering the degree of membership as an interval value proposed interval-valued fuzzy sets (IFSs) to express the uncertainty in the membership function. (Attanasov, 1986) by adding the degree of non-membership introduced another extension of fuzzy sets namely intuitionistic fuzzy sets. The degree of elements belonging to an intuitionistic fuzzy set is represented by the membership and the non-membership degrees in [0,1], respectively.

Group Multi-Attribute Decision Making Based on Interval Neutrosophic Sets