Formula of interval-valued intuitionistic fuzzy entropy and its applications

The normal Hamming distance of interval-valued intuitionistic fuzzy sets is improved that not only consider their membership, non-membership, but also consider their hesitancy degree. A formula of interval-valued intuitionistic fuzzy entropy based on the normal Hamming distance is proposed. The proposed distance and entropy are used to solve multi-attribute decision making problems based on interval-valued intuitionistic fuzzy sets with unknown information of attribute weights.