Multiple criteria decision making based on distance and similarity measures under double hierarchy hesitant fuzzy linguistic environment

The hesitant fuzzy linguistic term set (HFLTS) has been studied from different research directions. To describe the complicated linguistic information more accurately and reasonably, the double hierarchy linguistic term set (double hierarchy LTS) and double hierarchy hesitant fuzzy linguistic term set (double hierarchy HFLTS) were defined. Considering that the distance and similarity measures are the basis of decision making with double hierarchy hesitant fuzzy linguistic information, this paper proposes some distance and similarity measures of double hierarchy hesitant fuzzy linguistic elements (DHFLEs) and double hierarchy HFLTSs from different angles. We develop a decision-making method to deal with multiple criteria decision making (MCDM) problems on the basis of these distance and similarity measures. Finally, we apply this method to deal with a practical MCDM problem about Sichuan liquor brand assessment.