Research Article

[Retracted] A Novel Group Decision-Making Approach for Hesitant Fuzzy Linguistic Term Sets and Its Application to VIKOR

Table 1

Review of the operating methods of HFLTSs with different lengths.

AuthorsMethods used for operating HFLTSsContributions to the field of the HFLTS

Rodríguez et al. [16]Introducing the concept of envelope for an HFLTS to compare two HFLTSsFirst 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 modelConsidering 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 modelPresenting 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 HFLTSProposing 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 comparisonUsing 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 functionPresenting 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 intervalsConsidering 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-makingProposing 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 operatorProposing 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 termsDeveloping 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 termProposing 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 termProposing 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 valueProposing the behavioral multigranulation decision-theoretic rough set over two universes with HFL information