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For a multi-attribute decision making (MADM) problem, the information ofalternatives under different attributes is given in the form of intuitionisticfuzzy number(IFN). Intuitionistic fuzzy set (IFS) plays an important role indealing with un-certain and incomplete information. The similarity measure ofintuitionistic fuzzy sets (IFSs) has always been a research hotspot. A newsimilarity measure of IFSs based on the projection technology and cosinesimilarity measure, which con-siders the direction and length of IFSs at thesame time, is first proposed in this paper. The objective of the presentedpa-per is to develop a MADM method and medical diagnosis method under IFS usingthe projection technology and cosine similarity measure. Some examples are usedto illustrate the comparison results of the proposed algorithm and someexist-ing methods. The comparison result shows that the proposed algorithm iseffective and can identify the optimal scheme accurately. In medical diagnosisarea, it can be used to quickly diagnose disease. The proposed method enrichesthe exist-ing similarity measure methods and it can be applied to not onlyIFSs, but also other interval-valued intuitionistic fuzzy sets(IVIFSs) as well.

A New Approach to Intuitionistic Fuzzy Decision Making Based on Projection Technology and Cosine Similarity Measure