Consistency and consensus driven for hesitant fuzzy linguistic decision making with pairwise comparisons

A cloud‐based and web‐based group decision support system in multilingual environment with hesitant fuzzy linguistic preference relations

“…From eq. (3.5) in [10], the number of calculations of Step 3 to get the HFLGCI from a priority vector is n n…”

“…That is because its maximum size is n 9 2 and c ij could be obtained by using one step of the calculation based on eq. (3.5) in [10]. The adjustment procedure for each HFLE h r ( )…”

“…for p k = 1, 2…, . How to calculate the collective HFLPR was introduced in [10]. The consensus degree of each decision maker is measured by the similarity between its HFLPR H p and  H p .…”

“…The information about the final ranking of all three products and the number of rounds needed for this algorithm to reach consensus is returned to the webserver and shown in the UI, as shown in Figure 13. The box of "User's Input HFLPR" shows the last inputted HFLPR which presents Equation (10) and expert 4's preference. The final preference evaluating outcomes of three products are: w* = (0.4133, 0.2297, 0.3570) T , which indicates the ranking of the three products is X > 1 X X > 3 2 .…”

“…Liao et al 9 alpha‐cut based consensus measure for GDM with HFLPRs. Ren et al 10 introduced a hesitant fuzzy linguistic geometric consistency index (HFLGCI) based on the geometric consistency of a multiplicative preference relation. The HFLGCI can indicate whether a HFLPR is consistent or not.…”