This study develops a new multiple attribute decision making method based on linear assignment method with linguistic hesitant intuitionistic fuzzy information considering correlation. First, we develop some linguistic hesitant intuitionistic fuzzy correlated aggregation operators by using Choquet integral. Then we propose a new linguistic hesitant intuitionistic fuzzy linear assignment method considering correlation of attributes. A numerical example has been presented to illustrate feasibility and practical advantages of the new method. Comparisons of new method with other methods, including the linguistic hesitant intuitionistic fuzzy correlated TOPSIS method, the method based on the generalized linguistic hesitant intuitionistic fuzzy correlated averaging (GLHIFCA) operator, have been conducted.
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