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?????? . 2. 2008/1231. ? ?. ??????????????????AHP??????AHP??????????????????????????????????????. ?????????????????? ????????????????????????????????????. 2008/1231. ?????? . 3. ????. . ?????? . 4. 2008/1231. ??????. ???????(analytic hierarchy process, AHP)?1971????????Saaty???? AHP?????,??????????????,?????????????????????,???????????????, ????????????,???????????,?????????????????,?????????????.
E N D
1. 2008/1231 ?????? 1 AHP ??? ??
????????? ????
2. ?????? 2 2008/1231
3. 2008/1231 ?????? 3 ????
4. ?????? 4 2008/1231 ?????? ???????(analytic hierarchy process, AHP)?1971????????Saaty????
AHP?????,??????????????,?????????????????????,???????????????, ????????????,???????????,?????????????????,?????????????
5. ?????? 5 2008/1231 ??????(1/2) AHP ?????????(Saaty & Vargs, 1984) :
1. ??????
2. ???????
3. ?????????
4. ????
5. ????????????
6. ????
6. ?????? 6 2008/1231 ??????(2/2) 7. ?????????
8. ????
9. ????
10.??????
11.???
12.??
13.?????
7. 2008/1231 ?????? 7 ??AHP????
8. ?????? 8 2008/1231 AHP????(1/3) AHP ???????:
1. ????????????????,???????????
2. ?????,?????????????
3. ????????,????????????????????,?????
9. ?????? 9 2008/1231 AHP????(2/3) 4. ???????,????????????????
5. ?????,???????????
6. ?????????????????????,?????????????
10. ?????? 10 2008/1231 AHP????(3/3) 7. ?????????,????????????,????????(Consistency )????
8. ???????,??????(Weighting Principle)????
9. ??????????????,?????????,?????????????,??????????????
11. 2008/1231 ?????? 11 ??AHP????
12. ?????? 12 2008/1231 AHP????(1/) ??????
??AHP???,???????????????????,?????????????????
13. ?????? 13 2008/1231 AHP????(2/) ????????
?????:
– ??????? (Brainstorming)
– ??? (Delphi method) ?
14. ?????? 14 2008/1231 AHP????(3/) ????????
?????????????????????????,??????????????,???:
1. ??????????????????;
2. ??????????;
3. ???????????????
?????????????:
1. ????,
2. ??????
15. ?????? 15 2008/1231 AHP????(4/)
16. ?????? 16 2008/1231 AHP????(5/)
17. ?????? 17 2008/1231 AHP????(6/) ??????
??????
????????,?????????
???
18. ?????? 18 2008/1231 AHP????(7/) ??????????
?????????,????????
??????,???????????
1, 2, 3, 4, 5, 6, 7, 8, 9 ??????
1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9?
???????,????????,????????????,??????????????
19. ?????? 19 2008/1231 AHP????(8/)
20. ?????? 20 2008/1231 AHP????(9/) ????????????
– ????? ?????? A
(1)
?? , ????i ? j???
21. ?????? 21 2008/1231 AHP????(10/) ????????A???????,?(2)??(3)?:
(2) (3)
?????????A ????????????:
(4)
22. ?????? 22 2008/1231 AHP????(11/) ??(5)??(6)?:
23. ?????? 23 2008/1231 AHP????(12/) ?? (A-nI) = 0 (7)
??aij? ???????????????
??????,????wi/wj?,????
????,?A = n ?????,??
Saaty???A ?????????max???n?
?? (8)
(A-?maxI) =0 (9)
24. ?????? 24 2008/1231 AHP????(13/) ????????????
– ?AHP???????:
1. ????(EM)
??AHP?????????(EM)???
???????
2. ?????
– ?????(LSM)
– ???????(LLSM)
25. ?????? 25 2008/1231 AHP????(14/) – ??A ?????????:
? (9)?????,?????????,??????????????????,Saaty?????????,????????????????(10)???????????
(10)
26. ?????? 26 2008/1231 AHP????(15/) ????????
???????????,?????????????,???????
C.I.:??????????????
C.I.????
27. ?????? 27 2008/1231 AHP????(16/) ????????
R.I.:??Dak Ridge National Laboratory ?
Wharton School ?????,???????
???????,??????,????
?C.I.?,??????(Random Index,
R.I.),?????????????,?R.I
???????????,????Saaty
??????????????
28. ?????? 28 2008/1231 AHP????(17/) ????????
C.R. ?????,C.R. = C.I. / R.I.
??Saaty???,?C.R. <=0.1, ?????(????)????????
29. ?????? 29 2008/1231 AHP????(18/) ????????
??????????????,??????,?????????,??????,????:
– ?????(C. R. H)
– ?????(C. I. H)
– ??????(R. I. H)
30. ?????? 30 2008/1231 AHP????(19/) ????????
C.I.H=S(???????)* (??? C.I.)
R.I.H=S(????????)* (??? R.I.)
C.R.H= C.I.H/ R.I.H
??C.R.H ??0.1 ???????
?????
31. ?????? 31 2008/1231 AHP????(20/) ???????
????????????,????????????????,???????
????????
32. 2008/1231 ?????? 32 ?????????
33. 2008/1231 ?????? 33 ????
34. ?????? 34 2008/1231 ?? ???,AHP ???????????????????????????,?????????????????????????????, ?????????????????????,???????????????????