Fuzzy??(Fuzzy inference)

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Fuzzy??(Fuzzy inference)

• ???????(rule)?????????????
• note Fuzzy????????????,??? ??Fuzzy??
• Fuzzy?????????(approximate reasoning)????????,??
  ??? ?????(exact reasoning)?????? ??

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• GMP(General Modus Ponens)
• ??IF X is A THEN Y is B
• ??X is A
• ??Y is B
• note GMP?modus ponens????
• GMP?Fuzzy???P?Q??P???? ??Q??????,????
• ???????????(forward reasoning)
• ?????????????????? ????,???Fuzzy??????

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• GMT(General Modus Tollens)
• ??IF X is A THEN Y is B
• ??Y is B
• ??X is A
• note GMT?modus tollens????
• GMT?Fuzzy???P?Q?Q????? ?P??????,????
• ???????????(backward reasoning)
• ?GMP?GMT??,????Fuzzy?? ?,???????????????? ?????,?
  ??????????

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• Fuzzy???Fuzzy????????,????????,??????????????,????
  ????????
• ????(direct inference)
• ????(indiretc inference)
• ???? ????????????,?Fuzzy ??R??,??R???A?Fuzzy? ???
  ???????B

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• Fuzzy??????(compositional rule of inference)

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• note ???Zadeh?1975?????????
• ??? ??Fuzzy??R????A?? ???
• ???????????max-min??
• ??????Fuzzy???????? Mandani??,????AA????? ??B,?
  ?????????

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• Ex.???FRBS?????????????
• ????????Fuzzy??R?????
• ??X??????
• ????Y????

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??? Fuzzy??

• ???? ???????????,????? ???????????????
• ???????????????????????,??????????????????????????
  ?????(transfer function)??????(state
  space)????????????????????????????????????????????
  ????????,????????(nonlinear)????(uncertainty)???(t
  ime variant)???,??????????????????????????????????
  ???

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• Zadeh???Fuzzy???????????????
• 1.?????????,??????????? ???
• 2.?????????????????????
• 3.??Fuzzy???????????????? ??????
• Fuzzy???(??Fuzzy?????,FLC)
• ???????????????????????,?????????fuzzy
  IF-THEN????????????????????

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• Fuzzy????????
• ???FLC??????????
• ?????
• Fuzzy???
• Fuzzy????
• ??????

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• ?????
• ????????????
• ??????,??????????? ??????????
• ??????????????????? ??
• Fuzzy???
• ??????(data base)???????? (rule base)??
• ??????????????,???? ????????????????
• ?????????????????? ???????????????????

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• Fuzzy????
• FLC???,????????????? ??????????????????? ?Fuzzy??
  ??????????
• ??????
• ?????????,????????? ????Fuzzy???????????? ?
• ??????????????????? ???

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??Fuzzy????????

• ?????????
• ???????
• ???????????
• ???????
• ??Fuzzy????
• ?????????
• ?????????
• FLC????????????????? ???,??????????????? ????????
  ????
• ????,FLC???????????? ??????????????????? ????

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• ????x?????y?????
• ?xi????
• 
  ????Ui????
• ?????? ??xi????? (fuzzy
  partition)?,?????????? ?????

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• ????????????FLC?Fuzzy??
• ??????????????????? ?????????,????????, ?????????
  ?????????? ???????
• Fuzzy???????????????? ?,????????????????? ?,?????
  ??????
• ???????????(???)???(? ??)??????

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• ????????????????? ????????Fuzzy???????? ?????,??
  ??????
• ????????????????? ???????,?????????? ??,?????(ro
  bustness)??

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• ???????
• ???(fuzzification)?????????? ?????????
• ????,????????????? ?,???????????????? ????????
• ?????????????????? ?????Fuzzy??(Fuzzy singleton)

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• ??????????????????, ???????????????????

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• ???????
• Fuzzy???????FLC???????, ???????????IF-THEN??? FLC
  ???????????????
• ????,?????????????? ????????????
• ???????
• ???????(???TS Fuzzy Model)

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• ??Fuzzy????
• Fuzzy?????FLC???,????? ??????????????????
• GMP?GMT????????????? ?,??GMP????????,??? ????????
  ???????,?? ??????Fuzzy???????
• GMP
• ??IF X is A THEN Y is B
• ??X is A
• ??Y is B
• ????Fuzzy????Fuzzy????? ???
• ??Y???
  ??
• ????????,?????Fuzzy?? ??else???,??????????? ???Fu
  zzy?????????

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• ??????????????????(?????????)??????
• Mamdani?Min-Min-Max?????

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• Larsen?Min-Product-Max?????

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• Tsukamoto??????

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• Takagi?Sugeno??????

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• ?????????
• ??????????????????? ???????
• ?????????????????? (???)??????????????? ???
• ????????
• ?FLC???Fuzzy???,??????? ??????????

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• ?????
• ?????????,???u?
• ???
• ????????????

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• ???
• ??????????????????? ?,???u?
• ??yi?????????Sugeno???? ?????
• ???