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Authors | Methods used for operating HFLTSs | Contributions to the field of the HFLTS |
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Rodríguez et al. [16] | Introducing the concept of envelope for an HFLTS to compare two HFLTSs | First introducing the concept of envelope |
Farhadinia [13] | Using the envelope for each HFLTS to aggregate the preference of experts based on the 2-tuple linguistic representation model | Considering extended context-free grammar close to human beings’ cognitive models |
Montes et al. [20] | Carrying out the computing with words processes using the envelope of an HFLTS and the 2-tuple linguistic representation model | Presenting a practical application in decision-making of a 2-tuple linguistic fuzzy model with hesitant information |
Wu et al. [21] | Proposing a maximum support degree model based on the envelope of the HFLTS | Proposing a new linguistic group decision model by combining the linguistic distributions and HFLTSs |
Boyacı [22] | Obtaining the envelope for each HFLTS and proposing the pessimistic and optimistic collective preference relations for comparison | Using the HFLTS-based additive ratio assessment (ARAS) method |
Liu and Rodriguez [23] | Introducing a fuzzy envelope for the HFLTS whose representation is a fuzzy membership function | Presenting a new representation of the hesitant fuzzy linguistic term sets using a fuzzy envelope |
Chen and Hong [24] | Aggregating the fuzzy sets in each HFLTS into a fuzzy set and performing α-cut to these aggregated fuzzy sets to get intervals | Considering the pessimistic attitude and the optimistic attitude of the decision maker |
Lee and Chen [25] | Adopting 1-cut of hesitant fuzzy linguistic term sets for dealing with fuzzy decision-making | Proposing a new fuzzy group decision-making method based on the proposed likelihood-based comparison relations of HFLTSs |
Dong et al. [26] | Proposing a new fuzzy envelope of the HFLTS by using a Bonferroni mean operator | Proposing a new fuzzy envelope of the HFLTS and a new cosine similarity measure for HFLTSs |
Zhu and Xu [27] | Introducing a method to add linguistic terms to HFLTSs to make sure that two HFLTSs have the same number of linguistic terms | Developing a concept of hesitant fuzzy linguistic preference relations (HFLPRs) as a tool to collect and present the DMs’ preferences |
Liao et al. [17]; Liao and Xu [28]; Liao et al. [29] | Extending the short hesitant fuzzy linguistic element by adding the linguistic term which is the average of the maximal term and the minimal term | Proposing several different types of correlation coefficients for HFLTSs and cosine distance and similarity measures for HFLTSs |
Liao et al. [30] | Enlarging the shorter HFLTS by adding a linguistic term which is between the maximum and the minimum linguistic term | Proposing two distinct methods to compare the HFLTSs and investigating the ELECTRE II method in the HFLTS environment |
Lei et al. [31] | Extending the shorter HFLE by adding the maximum value | Proposing the behavioral multigranulation decision-theoretic rough set over two universes with HFL information |
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