Intuitionistic linguistic multi-attribute decision making algorithm based on integrated distance measure

Figures & data

Table 1. Decision matrix regarding the potential suppliers.

	$C_1$	$C_2$	$C_3$	$C_4$	$C_5$
$A_1$	$〈s_2,(0.4,0.5)〉$	$〈s_4,(0.3,0.4)〉$	$〈s_4,(0.6,0.3)〉$	$〈s_5,(0.6,0.2)〉$	$〈s_5,(0.4,0.4)〉$
$A_2$	$〈s_6,(0.6,0.3)〉$	$〈s_4,(0.5,0.4)〉$	$〈s_6,(0.7,0.2)〉$	$〈s_3,(0.5,0.5)〉$	$〈s_2,(0.8,0.1)〉$
$A_3$	$〈s_4,(0.7,0.2)〉$	$〈s_7,(0.6,0.2)〉$	$〈s_5,(0.6,0.3)〉$	$〈s_6,(0.1,0.9)〉$	$〈s_1,(0.4,0.4)〉$
$A_4$	$〈s_3,(0.7,0.2)〉$	$〈s_1,(0.5,0.5)〉$	$〈s_2,(0.3,0.6)〉$	$〈s_6,(0.4,0.5)〉$	$〈s_5,(0.3,0.5)〉$
$A_5$	$〈s_3,(0.2,0.7)〉$	$〈s_5,(0.2,0.8)〉$	$〈s_1,(0.1,0.9)〉$	$〈s_5,(0.6,0.3)〉$	$〈s_5,(0.4,0.4)〉$

Source. designed by author.

Table 2. Coordinates of the reference point describing the ideal supplier.

	$C_1$	$C_2$	$C_3$	$C_4$	$C_5$
I	$〈s_1,(0.1,0.8)〉$	$〈s_7,(0.8,0.1)〉$	$〈s_7,(0.9,0.1)〉$	$〈s_1,(0,1)〉$	$〈s_7,(0.9,0)〉$

Source. designed by author.

Table 3. Standardised decision matrix regarding the potential suppliers.

	$C_1$	$C_2$	$C_3$	$C_4$	$C_5$
$A_1$	$〈s_6,(0.5,0.4)〉$	$〈s_4,(0.3,0.4)〉$	$〈s_4,(0.6,0.3)〉$	$〈s_3,(0.2,0.6)〉$	$〈s_5,(0.4,0.4)〉$
$A_2$	$〈s_2,(0.3,0.6)〉$	$〈s_4,(0.5,0.4)〉$	$〈s_6,(0.7,0.2)〉$	$〈s_5,(0.5,0.5)〉$	$〈s_2,(0.8,0.1)〉$
$A_3$	$〈s_4,(0.2,0.7)〉$	$〈s_7,(0.6,0.2)〉$	$〈s_5,(0.6,0.3)〉$	$〈s_2,(0.9,0.1)〉$	$〈s_1,(0.4,0.4)〉$
$A_4$	$〈s_5,(0.2,0.7)〉$	$〈s_1,(0.5,0.5)〉$	$〈s_2,(0.3,0.6)〉$	$〈s_2,(0.5,0.4)〉$	$〈s_5,(0.3,0.5)〉$
$A_5$	$〈s_5,(0.7,0.2)〉$	$〈s_5,(0.2,0.8)〉$	$〈s_1,(0.1,0.9)〉$	$〈s_3,(0.3,0.6)〉$	$〈s_5,(0.4,0.4)〉$

Source. designed by author.

Table 4. Standardised ideal supplier.

	$C_1$	$C_2$	$C_3$	$C_4$	$C_5$
I	$〈s_8,(0.8,0.1)〉$	$〈s_7,(0.8,0.1)〉$	$〈s_7,(0.9,0.1)〉$	$〈s_7,(1,0)〉$	$〈s_7,(0.9,0)〉$

Source. designed by author.

Table 5. The results of aggregation.

	ILMaxD	ILMinD	ILWD	ILOWAD	ILOWAWAD
A1	0.667	0.505	0.572	0.498	0.535
A2	0.634	0.366	0.506	0.442	0.474
A3	0.638	0.342	0.552	0.401	0.476
A4	0.695	0.610	0.653	0.619	0.636
A5	0.718	0.515	0.648	0.533	0.591

Source. designed by author.

Table 6. Ranking of the potential suppliers.

Type of the ILOWAWAD	Ordering
ILMaxD	$A_2\succ A_3\succ A_1\succ A_4\succ A_5$
ILMinD	$A_3\succ A_2\succ A_1\succ A_5\succ A_4$
ILWD	$A_2\succ A_3\succ A_1\succ A_5\succ A_4$
ILOWAD	$A_3\succ A_2\succ A_1\succ A_5\succ A_4$
ILOWAWAD	$A_2\succ A_3\succ A_1\succ A_5\succ A_4$

Source. designed by author.

Figure 1. The results of ILOWAWAD with parameter $\rho$.

Source. designed by author.