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不确定性推理复习

6.8  设有如下一组推理规则:

    r1:  IF  E1  THEN  E2 (0.6)

    r2:  IF  E2  AND  E3  THEN  E4 (0.7)

    r3:  IF  E4  THEN  H (0.8)

    r4:  IF  E5  THEN  H (0.9)

且已知CF(E1)=0.5,  CF(E3)=0.6,  CF(E5)=0.7。求CF(H)=?

    解:(1) 先由r1求CF(E2)

        CF(E2)=0.6 × max{0,CF(E1)}

             =0.6 × max{0,0.5}=0.3

(2) 再由r2求CF(E4)

        CF(E4)=0.7 × max{0, min{CF(E2 ), CF(E3 )}}

             =0.7 × max{0, min{0.3, 0.6}}=0.21

(3) 再由r3求CF1(H)

CF1(H)= 0.8 × max{0,CF(E4)}

      =0.8 × max{0, 0.21)}=0.168

(4) 再由r4求CF2(H)

CF2(H)= 0.9 ×max{0,CF(E5)}

      =0.9 ×max{0, 0.7)}=0.63

(5) 最后对CF1(H )和CF2(H)进行合成,求出CF(H)

        CF(H)= CF1(H)+CF2(H) — CF1(H) × CF2(H)

             =0.028

 

不确定性推理复习