Abstract: In many multi-criteria decision making (MCDM) problems,due to the complexity and fuzziness of the decision making environment, many attributes should be assessed in a quantitative form. In this case, decision makers can't just use single-value linguistic term to express their preferences because they are hesitant with decision information, they often provide the hesitant intuitionistic fuzzy linguistic term set to depict the decision information. As far as we know, existing studies often used the subscript of linguistic terms directly in the process of operations, which can't consider the semantic environment. This may cause information distortion, but the linguistic scale function can solve this problem. Therefore, the Hamming distance of mean-standard deviation with preference between hesitant intuitionistic fuzzy linguistic term set based on linguistic scale function is defined, the related properties are also proved.Then the multiple attribute decision making method of TOPSIS and TODIM is proposed. These two methods can solve the ranking of alternatives effectively in multiple attribute decision making problems. Furthermore, in order to illustrate the feasibility and effectiveness, the same numerical example concerning construction company bidding schemes are sorted by using these two methods. Finally, the sensitivity analysis of the preference parameters on the ranking result and comparision analysis with other method are also discussed.

Key words: hesitant intuitionistic fuzzy linguistic term sets, mean-standard deviation, linguistic scale function, TOPSIS method, TODIM method