An improved TODIM method based on the hesitant fuzzy psychological distance measure

The distance measure plays an important role in the hesitant fuzzy theory. Experts always focus on the attributes aggregation of hesitant fuzzy information, ignoring the preference relationships between alternatives. Therefore, it is necessary to consider the competition effect between alternatives and develop a more suitable distance measure. Considering the background information of the connections and competitive relationships between different alternatives, the hesitant fuzzy psychological distance measure is proposed. Based on which, a novel similarity measure for hesitant fuzzy information is also developed. Next, an improved TODIM based on the hesitant fuzzy psychological distance measure is proposed for decision making problems. At last but not least, we apply the proposed improved TODIM to the application of the temporary rescue airport decision making problem of the Arctic Northwest Passage. The results demonstrate the advantages of the proposed method in decision making under the hesitant fuzzy environment.

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