Table 2 Fusion results with different combination rules
From: Conflict management based on belief function entropy in sensor fusion
Combination rule | Fusion results | |||
|---|---|---|---|---|
\(\left\{ {m_1,m_2} \right\}\) | \(\left\{ {m_1,m_2,m_3} \right\}\) | \(\left\{ {m_1,m_2,m_3,m_4} \right\}\) | \(\left\{ {m_1,m_2,m_3,m_4,m_5} \right\}\) | |
Dempster | m(A) = 0 | m(A) = 0 | m(A) = 0 | m(A) = 0 |
m(B) = 0.8969 | m(B) = 0.6575 | m(B) = 0.3321 | m(B) = 0.1422 | |
m(C) = 0.1031 | m(C) = 0.3425 | m(C) = 0.6679 | m(C) = 0.8578 | |
Yager | m(A) = 0 | m(A) = 0.4112 | m(A) = 0.6508 | m(A) = 0.7732 |
m(B) = 0.2610 | m(B) = 0.0679 | m(B) = 0.0330 | m(B) = 0.0167 | |
m(C) = 0.0300 | m(C) = 0.0105 | m(C) = 0.0037 | m(C) = 0.0011 | |
m(AC) = 0 | m(AC) = 0.2481 | m(AC) = 0.1786 | m(AC) = 0.0938 | |
\(m(\Theta )=0.7090\) | \(m(\Theta )=0.2622\) | \(m(\Theta )=0.1339\) | \(m(\Theta )=0.1152\) | |
Murphy | m(A) = 0.0964 | m(A) = 0.4619 | m(A) = 0.8362 | m(A) = 0.9620 |
m(B) = 0.8119 | m(B) = 0.4497 | m(B) = 0.1147 | m(B) = 0.0210 | |
m(C) = 0.0917 | m(C) = 0.0794 | m(C) = 0.0410 | m(C) = 0.0138 | |
m(AC) = 0 | m(AC) = 0.0090 | m(AC) = 0.0081 | m(AC) = 0.0032 | |
Deng et al. | m(A) = 0.0964 | m(A) = 0.4674 | m(A) = 0.9089 | m(A) = 0.9820 |
m(B) = 0.8119 | m(B) = 0.4054 | m(B) = 0.0444 | m(B) = 0.0039 | |
m(C) = 0.0917 | m(C) = 0.0888 | m(C) = 0.0379 | m(C) = 0.0107 | |
m(AC) = 0 | m(AC) = 0.0084 | m(AC) = 0.0089 | m(AC) = 0.0034 | |
Zhang et al. | m(A) = 0.0964 | m(A) = 0.5681 | m(A) = 0.9142 | m(A) = 0.9820 |
m(B) = 0.8119 | m(B) = 0.3319 | m(B) = 0.0395 | m(B) = 0.0034 | |
m(C) = 0.0917 | m(C) = 0.0929 | m(C) = 0.0399 | m(C) = 0.0115 | |
m(AC) = 0 | m(AC) = 0.0084 | m(AC) = 0.0083 | m(AC) = 0.0032 | |
Proposed method | m(A) = 0.2849 | m(A) = 0.8274 | m(A) = 0.9596 | m(A) = 0.9886 |
m(B) = 0.5306 | m(B) = 0.0609 | m(B) = 0.0032 | m(B) = 0.0002 | |
m(C) = 0.1845 | m(C) = 0.0986 | m(C) = 0.0267 | m(C) = 0.0072 | |
m(AC) = 0 | m(AC) = 0.0131 | m(AC) = 0.0106 | m(AC) = 0.0039 | |