Fig 1.
Flowchart for the qualitative portfolio selection based on the linguistic Z-number aggregation operators.
Table 1.
Linguistic variables for evaluating financial performance of firms (S).
Table 2.
Linguistic variables for evaluating expert’s reliability (S′).
Table 3.
The evaluation information of firms which is represented by LZNs.
Table 4.
The aggregated values and their corresponding score and accuracy values which resulted by LZWA operator.
Table 5.
The aggregated values and their corresponding score and accuracy values which resulted by LZOWA operator.
Table 6.
The aggregated values and their corresponding score and accuracy values which resulted by LZHWA operator.
Fig 2.
The selected assets and their investment ratio using Model (1).
Fig 3.
Comparison of the achievement level of goal resulted by Model (1) based on the proposed operators.
Table 7.
The selected assets and their investment ratio in the portfolio by Model (1).
Fig 4.
The selected assets and their investment ratio using Model (2).
Fig 5.
Comparison of the achievement level of goal resulted by Model (2) based on the proposed operators.
Table 8.
The selected assets and their investment ratio in the portfolio by Model (2).
Fig 6.
The selected assets and their investment ratio using Model (3).
Fig 7.
Comparison of the achievement level of goal resulted by Model (3) based on the proposed operators.
Table 9.
The selected assets and their investment ratio in the portfolio by Model (3).
Table 10.
Portfolio selection by applying Model (3) based on LZWA operator.
Table 11.
Portfolio selection by applying Model (3) based on LZOWA operator.
Table 12.
Portfolio selection by applying Model (3) based on LZHWA operator.
Fig 8.
Comparison of the achievement level of goal in Model (3) based on LZWA operator.
Fig 9.
Comparison of the achievement level of goal in Model (3) based on LZOWA operator.
Fig 10.
Comparison of the achievement level of goal in Model (3) based on LZHWA operator.
Table 13.
The selected portfolios obtained by the Zhou’s model based on the max-score rule.