**Algorithm 1**

Let *A*(*k*) = (*a*(*k*) *ij* ) be the pairwise comparison matrix of decision maker *Dk* (*k* = 1,...,*r*; *i*, *j* = 1,...,*n*) and *πk* its relative importance in the group (*<sup>π</sup>k* ≥ 0, *r* ∑ *k*=1 *πk* = 1); *aij*, *aij* (*i*, *j* = 1, . . . , *n*) the limits of the intervals of the Consistency Interval Judgement matrix for the group; *θ* ∈ [0, 1]; *w*(*G*) the priority vector obtained when applying the RGM to the AIJ matrix; *P* a judgement matrix; and *v* the priority vector derived from *P* using the RGM method.

Step 0: Initialisation

> Let *t* = 0, *P*(0) = *P*, *J* = {(*<sup>i</sup>*, *j*), with *i* < *j*} and calculate for all (*i*, *j*) ∈ *J*:

$$d\_{ij} = \sum\_{k} \pi\_k \log^2 \frac{a\_{ij}^{(k)} \upsilon\_j}{\upsilon\_i}$$

Step 1: Selection of the judgement

> Let *(r, s)* be the entry for which *drs* = max (*<sup>i</sup>*,*j*)∈*<sup>J</sup>dij*

$$I = I - \{(r, s)\}$$

Step 2: Obtaining a PCCM entry

$$P^{(t+1)} = P^{(t)}$$

 $\text{Let } z = \left(p\_{rs}^{(t)}\right)^{\theta} \left(\frac{\mathbf{u}\_{r}^{(G)}}{\mathbf{u}\_{i}^{(G)}}\right)^{1-\theta}$ 
$$p\_{rs}^{(t+1)} = \begin{cases} q\_{rs} & \text{if } & z < q\_{rs} \\ & z & \text{if } & \underline{a}\_{rs} \le z \le \overline{a}\_{rs} \\ & \mathfrak{a}\_{rs} & \text{if } & z > \overline{a}\_{rs} \end{cases}$$

Step 3: Finalisation

> *J*= ∅, then Stop Else let *t* = *t* + 1 and go to Step 1.
