Combined probabilistic linguistic term set and ELECTRE II method for solving a venture capital project evaluation problem

Figures & data

Table 1. Evaluation system indicators.

Quantitative Indicators	$c_1$	Current ratio
	$c_2$	Cash flow ratio
	$c_3$	Asset-liability ratio
	$c_4$	Inventory turnover
	$c_5$	Operating profit ratio
	$c_6$	Net profit growth rate
Qualitative Indicators	$c_7$	Industry environment
	$c_8$	Marketing
	$c_9$	Products and technology
	$c_{10}$	Team management

Source: The Authors.

Table 2. Quantitative indicator data.

	$c_1$	$c_2$	$c_3$	$c_4$	$c_5$	$c_6$
$A_1$	2.27	0.40	2.60	2.90	0.11	0.28
$A_2$	4.09	1.77	2.98	2.53	0.17	0.06
$A_3$	6.72	5.24	9.15	4.21	0.32	0.45
$A_4$	1.42	0.21	1.84	1.70	0.10	0.09
$A_5$	1.17	0.08	1.81	1.37	0.07	0.05
$A_6$	2.09	0.43	2.61	2.37	0.09	0.26
$A_7$	2.46	0.50	3.61	2.10	0.08	0.43
$A_8$	3.13	0.51	3.73	3.39	0.12	0.36

Source: The Authors.

Table 3. Data of Qualitative indicator $c_7.$

	$c_7$
$A_1$	$\left\{s_{-3}\left(0.1\right),s_{-2}\left(0.1\right),s_0\left(0.1\right),s_2\left(0.3\right),s_3\left(0.4\right)\right\}$
$A_2$	$\left\{s_{-2}\left(0.2\right),s_1\left(0.1\right),s_2\left(0.25\right),s_3\left(0.4\right)\right\}$
$A_3$	$\left\{s_{-3}\left(0.05\right),s_{-2}\left(0.15\right),s_1\left(0.15\right),s_2\left(0.2\right),s_3\left(0.3\right)\right\}$
$A_4$	$\left\{s_{-3}\left(0.2\right),s_{-2}\left(0.1\right),s_{-1}\left(0.2\right),s_0\left(0.3\right),s_1\left(0.15\right)\right\}$
$A_5$	$\left\{s_{-3}\left(0.15\right),s_{-2}\left(0.3\right),s_{-1}\left(0.25\right),s_0\left(0.05\right),s_1\left(0.2\right)\right\}$
$A_6$	$\left\{s_{-3}\left(0.3\right),s_{-1}\left(0.2\right),s_0\left(0.1\right),s_1\left(0.2\right),s_2\left(0.1\right)\right\}$
$A_7$	$\left\{s_{-3}\left(0.1\right),s_{-1}\left(0.05\right),s_0\left(0.15\right),s_1\left(0.1\right),s_2\left(0.15\right),s_3\left(0.3\right)\right\}$
$A_8$	$\left\{s_{-3}\left(0.15\right),s_{-2}\left(0.15\right),s_{-1}\left(0.1\right),s_0\left(0.05\right),s_2\left(0.2\right),s_3\left(0.35\right)\right\}$

Source: The Authors.

Table 4. Data of Qualitative indicator $c_8.$

	$c_8$
$A_1$	$\left\{s_{-3}\left(0.15\right),s_{-2}\left(0.1\right),s_1\left(0.2\right),s_2\left(0.3\right),s_3\left(0.2\right)\right\}$
$A_2$	$\left\{s_{-3}\left(0.1\right),s_{-1}\left(0.1\right),s_2\left(0.05\right),s_3\left(0.65\right)\right\}$
$A_3$	$\left\{s_{-2}\left(0.2\right),s_2\left(0.2\right),s_3\left(0.5\right)\right\}$
$A_4$	$\left\{s_{-3}\left(0.2\right),s_{-2}\left(0.25\right),s_{-1}\left(0.3\right),s_1\left(0.1\right),s_2\left(0.1\right)\right\}$
$A_5$	$\left\{s_{-3}\left(0.2\right),s_{-2}\left(0.25\right),s_{-1}\left(0.2\right),s_0\left(0.2\right),s_1\left(0.05\right)\right\}$
$A_6$	$\left\{s_{-3}\left(0.15\right),s_{-2}\left(0.15\right),s_{-1}\left(0.3\right),s_1\left(0.2\right),s_2\left(0.2\right),s_3\left(0.1\right)\right\}$
$A_7$	$\left\{s_{-3}\left(0.05\right),s_{-2}\left(0.15\right),s_0\left(0.4\right),s_2\left(0.15\right),s_3\left(0.15\right)\right\}$
$A_8$	$\left\{s_{-3}\left(0.15\right),s_0\left(0.1\right),s_2\left(0.5\right),s_3\left(0.2\right)\right\}$

Source: The Authors.

Table 5. Data of Qualitative indicator $c_9.$

	$c_9$
$A_1$	$\left\{s_{-3}\left(0.1\right),s_{-2}\left(0.1\right),s_{-1}\left(0.1\right),{s_0\left(0.1\right),s}_1\left(0.05\right),s_2\left(0.2\right),s_3\left(0.25\right)\right\}$
$A_2$	$\left\{s_{-3}\left(0.1\right),s_{-2}\left(0.05\right),s_{-1}\left(0.15\right),s_1\left(0.25\right),s_2\left(0.25\right)\right\}$
$A_3$	$\left\{s_{-3}\left(0.15\right),s_{-2}\left(0.15\right),s_{-1}\left(0.1\right),s_1\left(0.05\right),s_2\left(0.2\right),s_3\left(0.35\right)\right\}$
$A_4$	$\left\{s_{-3}\left(0.1\right),s_{-2}\left(0.05\right),s_{-1}\left(0.15\right),s_1\left(0.25\right),s_2\left(0.2\right),s_3\left(0.25\right)\right\}$
$A_5$	$\left\{s_{-3}\left(0.05\right),s_{-2}\left(0.1\right),s_{-1}\left(0.05\right),{s_0\left(0.15\right),s}_1\left(0.3\right),s_2\left(0.25\right),s_3\left(0.1\right)\right\}$
$A_6$	$\left\{s_{-2}\left(0.2\right),s_{-1}\left(0.25\right),s_1\left(0.2\right),s_2\left(0.2\right)\right\}$
$A_7$	$\left\{s_{-3}\left(0.1\right),s_{-2}\left(0.15\right),s_{-1}\left(0.1\right),{s_0\left(0.05\right),s}_1\left(0.05\right),s_2\left(0.15\right),s_3\left(0.3\right)\right\}$
$A_8$	$\left\{s_{-3}\left(0.05\right),s_{-2}\left(0.1\right),{s_0\left(0.15\right),s}_1\left(0.1\right),s_2\left(0.25\right),s_3\left(0.1\right)\right\}$

Source: The Authors.

Table 6. Data of Qualitative indicator $c_{10}.$

	$c_{10}$
$A_1$	$\left\{s_{-3}\left(0.1\right),s_{-2}\left(0.25\right),s_{-1}\left(0.2\right),s_2\left(0.25\right),s_3\left(0.1\right)\right\}$
$A_2$	$\left\{s_{-3}\left(0.1\right),s_{-1}\left(0.15\right),{s_0\left(0.2\right),s}_1\left(0.1\right),s_2\left(0.15\right),s_3\left(0.2\right)\right\}$
$A_3$	$\left\{s_{-3}\left(0.15\right),s_{-2}\left(0.05\right),s_0\left(0.3\right),s_2\left(0.2\right),s_3\left(0.25\right)\right\}$
$A_4$	$\left\{s_{-1}\left(0.35\right),{s_0\left(0.1\right),s}_1\left(0.3\right),s_2\left(0.1\right),s_3\left(0.15\right)\right\}$
$A_5$	$\left\{s_{-3}\left(0.05\right),s_{-2}\left(0.1\right),s_{-1}\left(0.25\right),s_0\left(0.2\right),s_2\left(0.25\right),s_3\left(0.15\right)\right\}$
$A_6$	$\left\{s_{-3}\left(0.05\right),s_{-2}\left(0.1\right),{s_0\left(0.2\right),s}_1\left(0.1\right),s_2\left(0.15\right),s_3\left(0.15\right)\right\}$
$A_7$	$\left\{s_{-3}\left(0.1\right),s_{-2}\left(0.05\right),s_{-1}\left(0.25\right),{s_0\left(0.1\right),s}_1\left(0.15\right),s_2\left(0.05\right),s_3\left(0.2\right)\right\}$
$A_8$	$\left\{s_{-3}\left(0.2\right),s_{-2}\left(0.1\right),s_{-1}\left(0\right),{s_0\left(0.05\right),s}_1\left(0.2\right),s_2\left(0.2\right),s_3\left(0.15\right)\right\}$

Source: The Authors.

Table 7. Attributes’ high and low thresholds.

	$c_1$	$c_2$	$c_3$	$c_4$	$c_5$	$c_6$	$c_7$	$c_8$	$c_9$	$c_{10}$
$d_j^0$	0	0	0	0	0	0	0.3	0.3	0.3	0.3
$d_j^{\mathrm{*}}$	3	3	5	1.5	0.2	0.3	1.3	1.3	1.3	1.3

Source: The Authors.

Figure 1. Strong outranking graph $G_s^1$ and weak outranking graph $G_w^1.$

Source: The Authors.

Figure 2. The strong outranking graph $G_s^2$ and the weak outranking graph $G_w^2.$

Source: The Authors.

Figure 3. The strong outranking graph $G_s^3$ and the weak outranking graph $G_w^3.$

Source: The Authors.

Figure 4. The strong outranking graph $G_s^4$ and the weak outranking graph $G_w^4.$

Source: The Authors.

Table 8. Forward order of all alternatives.

$A_i$	$A_1$	$A_2$	$A_3$	$A_4$	$A_5$	$A_6$	$A_7$	$A_8$
${\phi }_1\left(A_i\right)$	2	2	1	3	4	3	2	2

Source: The Authors.

Table 9. Reverse order and average order of all alternatives.

$A_i$	$A_1$	$A_2$	$A_3$	$A_4$	$A_5$	$A_6$	$A_7$	$A_8$
${\phi }_3\left(A_i\right)$	3	3	1	3	4	4	3	2
$\overline{\phi }(A_i)$	2.5	2.5	1	3	4	3.5	2.5	2

Source: The Authors.