Novel Intuitionistic Fuzzy Distance Based on Tendency and Its Application in Emergency Decision-Making

Intuitionistic fuzzy measures have been widely used in multi-attribute decision-making. However, in the complex decision-making process, only a few distance measures take individual tendencies into account. In this paper, we propose an intuitionistic fuzzy distance measure based on the tendency of decision makers, and give a novel emergency decision-making method using the distance. Firstly, according to the function transformation, we construct a novel distance measure that includes different tendency coefficients of intuitionistic indexes. These indexes are the membership, non-membership and hesitancy of the intuitionistic fuzzy set. Secondly, the proposed distance has been proved that it satisfies the axiomatic characteristics of distance measure. Then using a few examples to illustrate the novel distance in pattern recognition and fuzzy multi-attribute decision-making, while could adapt to decision-making problems more flexible by adjusting tendency coefficients of each intuitionistic index. Finally, applying the proposed distance measure to a real case of online public opinion in the proposed emergency decision-making in this paper, compared with other methods, our distance measure shows more reasonable, effective and superior results in the decision model.