ABSTRACT

Supposing that frame of discernment Θ = {A1, A2, … An} consists of evidence E1 and E2, the BPA functions are m1(Ai) and m2(A′j), the focal elements are Ai and A′j, and the D-S rule of combination is:

m

m

m m

k

( )

( )A

( )A ( )A

, ( )Φ Θ

=

=

≠A

⎧ ⎨ ⎪⎪

⎪ (1)

where k is the normalization constant:

( )A ( )A′ Θ

(2)

K represents the conflicting degree of evidence. The larger the k, more serious is the conflict of evidence. If we combine the evidence by using equations (1) and (2), it will lead to incorrect results.