设有一组知识: R1:IF E1 THEN H CF(H E1)=0.8 R2:IF E2 THEN H CF(H E2)=0.6 R3:IF
设有一组知识: R1:IF E1 THEN H CF(H,E1)=0.8 R2:IF E2 THEN H CF(H,E2)=0.6 R3:IF E3 THEN H CF(H,E3)=-0.5 R4:IF E4∧(E5∨E6)THEN E1 CF(E1,E4∧(E5∨ E6))=0.7 R5:IF E7∧E8 THEN E3 CF(E3,E7∧E8)=0.9 已知CF(E2)=0.8,CF(E4)=0.5,CF(E5)=0.6 CF(E6)=0.7,CF(E7)=0.6,CF(E8)=0.9 求CF(H)=?
请帮忙给出正确答案和分析,谢谢!
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正确答案:×
由已知知识建立推理网络如图4.2所示。由R4得到:CF(E1)=0.7×max{0,CF(E4∧(E5∨E6))}=0.7×max{0,min{CF(E4),CF(E5∨E6)}}=0.7×max{0,min{CF(E4),max{CF(E5),CF(E6)}}}=0.7×max{0,min{0.5,max{0.6,0.7}}}=0.7×max{0,0.5}=0.35由R5:CF(E3)=0.9×max{0,min{CF(E7),CF(E8)}}=0.9×max{0,0.6}=0.54由R1:CF1(H)=CF(H,E1)×max{0,CF(E1)}=0.8×max{0,0.35}=0.28由R2:CF2(H)=CF(H,E2)×max{0,CF(E2)}=0.6×0.8=0.48由R3:CF3(H)=-0.5×max{0,CF(E3)}=-0.27利用式(4.3)先将两条知识R1和R2合成,由于CF1(H)≥0,CF2(H)≥0所以,应用式(4.3)的前半部分得:CF1,2(H)=CF1(H)+CF2(H)-CF1(H)×CF2(H)=0.28+0.48-0.28×0.48=0.6256再利用式(4.3),将CF1,2(H)和CF3(H)合成,由于它们二者异号,故应用式(4.3)的后半部分得:所求结论的可信度为CF(H)=0.49。
