
| m1(.)     | m2(.)   | m∧   | mMix,δ   | mMix,η   | mMix,d   |        |
|-----------|---------|------|----------|----------|----------|--------|
| ∅         | 0       | 0    | 0.14     | 0        | 0        | 0      |
| A ∩ B     | 0       | 0    | 0.06     | 0.03     | 0.03     | 0.02   |
| A         | 0.3     | 0    | 0.3      | 0.26     | 0.205    | 0.185  |
| B         | 0       | 0.2  | 0.14     | 0.14     | 0.084    | 0.084  |
| A ∪ B     | 0.4     | 0    | 0.12     | 0.15     | 0.146    | 0.156  |
| C         | 0       | 0.2  | 0.06     | 0.06     | 0.015    | 0.015  |
| A ∪ C     | 0       | 0.3  | 0.09     | 0.15     | 0.1575   | 0.1575 |
| A ∪ B ∪ C | 0.3     | 0.3  | 0.09     | 0.21     | 0.3625   | 0.3825 |
| TABLE XII |         |      |          |          |          |        |

| δ1(., .) = δ(., .)   | A   | A ∪ B   | A ∪ B ∪ C   |
|----------------------|-----|---------|-------------|
| B                    | 1/2 | 0       | 0           |
| C                    | 1   | 1       | 0           |
| A ∪ C                | 0   | 1/3     | 0           |
| A ∪ B ∪ C            | 0   | 0       | 0           |
| TABLE XIII           |     |         |             |

VALUES FOR δ(**., .**)

$$\operatorname{and}$$
$$\delta_{1}(Y_{1},...,Y_{M})=\eta(Y_{1},...,Y_{M})=1-\frac{\mathcal{C}(Y_{1}\cap...\cap Y_{M})}{\operatorname*{max}_{1\leq i\leq M}\mathcal{C}(Y_{i})}.$$
C(Yi). (33)
From equation (31), we can define $\delta_1$ by: . 
$$\delta_{1}(Y_{1},...,Y_{M})=1-\frac{\mathcal{C}(Y_{1}\cap...\cap Y_{M})}{\mathcal{C}(Y_{1}\cup...\cup Y_{M})}.$$
. (34)
Finally, the mixed rule for M ≥ 2 experts is given by:

$$m_{\text{Mix}}(X)=\sum_{Y_{1},\ldots,Y_{M}=X}\delta_{1}(Y_{1},...,Y_{M})\prod_{j=1}^{M}m_{j}(Y_{j})+\sum_{Y_{1},\ldots,Y_{M}=X}(1-\delta_{1}(Y_{1},...,Y_{M}))\prod_{j=1}^{M}m_{j}(Y_{j}).$$  ulation can be interesting according to the coherence of the responses of the experts. However, it does not a 
$$(33)$$

$$(34)$$

$$(35)$$

the repartition of the partial conflict in an other way than the Dubois and Prade's rule. B. A discounting proportional conflict repartition rule The **PCR6** redistributes the masses of the conflicting focal elements proportionally to the initial masses on these elements.

First, the repartition concerns only on the elements involved in the partial conflict. We can apply a discounting procedure in the combination rule in order to transfer a part of the partial conflict on the partial ignorance. This new discounting PCR
(noted **DPCR**) can be expressed for two basic belief assignments m1(.) and m2(.) and for all X ∈ GΘ, X 6= ∅ by: