Input:	Set of acceptable options $L$, and attributes associated with each option $\left\{v_{l,m}\right\}$
Output:	Set of sorted options: $L$
Procedure:
0:	$\overline{L}=\mathrm{\varnothing }$// Initialization
1:	Fori = 1 to m // Compare from the most important to the least important attributes
2:	$Q^i=\left\{\left(l\right|v_{l,i}-\underset{l^{\prime }\in L}{min}\left\{v_{l^{\prime },i}\right\}>{\beta }_i^{\mathit{JND}}\underset{l^{\prime }\in L}{min}\left\{v_{l^{\prime },i}\right\}\right\}$ // Generate the noticeable set of (line) options
3:	${\overline{Q}}^i=\text{sort(}{Q}^i,i)$ // Sort $Q^i$ in ascending order based on the value of the ith attribute
4:	$\overline{L}={\overline{Q}}^i\cup \overline{L}$ // Insert ${\overline{Q}}^i$ into set$\overline{S}$
5:	$L=L-Q^i$ // Update the remaining choice set to be sorted.
6:	If $L=\mathrm{\varnothing }$:
7:	break // Stop if all the options have been added to the ordered set