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3 Û 4 Ã Â¾Å Å³Ï Vl.3, N.4 01 4 Sysems Engineering Thery & Pracice Aril, 01»±: 1000-6788(01)04-0790-09 ÃÜ ±: F7 È : A Ý È Peri ß Ã ĐÕÐÐ ÈÑ² 1,,3, Û¼,3 (1. Ù Ù, 300384;. ÊÙ Ù, Ê 10096; 3. ± Ä Ü, Ê 10096) Ö Í É¾ Peri ÅÆ ËÂ, ÅÝ ÖÉ¾ Peri (AFPN), É¾ Peri, Ç³Ï«Đ Ò³Ö, ÞÉÔ ³Ö É ÐÅ Å, ÖÉ¾ Peri ÕÖ Ö» ÞÚ ÃµÓ, ¹ ÉÔÕ¹, Þ Ì AFPN ÉÔÁ½ØÌ AFPN ÓÉÔ Ì Î ÀÆ, Ð ÆºÌ ÎÒ ßÁÌ Î AFPN, ÐÅÌ Î Û É¾ Peri ; Å; Î Prucs eman frecasing in knwlegeable manufacuring sysems base n aribues fuzzy Peri nes MENG Xian-gang 1,,3, YAN Hng-sen,3 (1. Schl f Aumain, Tianin Uniersiy f Technlgy, Tianin 300384, China;. Schl f Aumain, Suheas Uniersiy, Naning 10096, China; 3. Key Labrary f Measuremen an Cnrl f CSE, Naning 10096, China) Absrac Fr he sake f srenghening knwlege reresenain f fuzzy Peri nes, aribues fuzzy Peri nes (AFPN) are resene. On he basis f fuzzy Peri nes, laces an weighs are enwe wih aribues which are relae acual sysem, s ha he AFPN mel f mulile aribues sysem is f simle mel srucure. AFPN mels are sre in knwlege base f knwlegeable manufacuring sysems, an irregular mels are regularize afer aribues ecmsing, aribues merging, an mel raining. Thus, a new rucs rcessing AFPN mel can be esablishe simly an fas n he basis f riginal AFPN mel. In he examles f rucs eman frecasing, eman frecasing AFPN mel is esablishe by using eman-relae aa f rucs an maerials, an i can frecas rucs emans quickly. Keywrs fuzzy Peri nes; knwlege base; eman frecasing 1 ÚÕ ÇÖÁÑÀÐÏ ÑÀÐÉÎ, Å¹ÔÞ Ê, ¾ÆßÉÛ Åµ ÉÝÏ ÅÉ³, ¾³Ð Ú ÉÛ Å Éµ, Ú Û ÅÉÛ Î¾ ÉÛ, ØÝ±ÈÆÉ ÄÉÚ [1] Û ÉÍß¾³ÆßÚ, Ñ ( ) ( ) ÙÑÄ É, Ð½² Â Û Å¹Ï ËÌ,»² ¾³ Ò É É Peri, ÄÊ ÓÁ Ñ, Ð Î Å Ñ É Peri, Í Ñ ÞÑÉÐÌ²½ Ç Û ÅÖ½É Peri Å, Æ Peri Ä Á: 010-04-1 «Å: ÉÔ (60934008, 087046); É ØÖÒºÃ½ (863 Ã½) (007AA04Z11) :»É (1973 ),, ÑÁ, ØÖÜ, ØÖ : À Ü Ã½ ; Ö Ð (197 ),, Ñ,, ÜÅß, ØÖ : Ü Ã½ À Ì

4 Ã»É, Ì: ¹ Peri Ê À Ã ³ 791 Peri Peri Ë, ÄÂ, Peri º ÉÅ Peri Peri É ¹, ± ² Peri Â, ÄÅÎ Ö, Ç ²Å, È ÕÉ ¹Ä, µíèó½ä Peri Ú Peri É³, Ì Å²ÓÁÓÆ¾Ù [ 3] Peri, Â É½ ½É Ä, ²ÒÍ¾Ð É Peri Â¾ [4] ² Peri ² Peri Â Ò² Û, Ì ² Û,»Å É Peri Ú ÊÉ [ 6] ÐÌ Peri ²Â¾Å Âß ÐÌ, Ð ÐÄÉÂ¾ Ï²¾²Û [7] Peri ² Peri ÉÒÏº, ÂÉÏºÛ Đº²Þº,»ĐºÇ THEN,»ÞºÇ ELSE, Ð ÇÌ IF-THEN-ELSE rules ÉÅ [8 9] ² Â¾Â, ¹ ½ÂÚÅ, ²Ò Peri É Â, ÂÉÅ, Ó ÂÉÄ, ÇÜ±, ¾Þ²µ ÒÊ Peri É Ê¾ Peri É, Peri ¹, ¹ Ê À, µå Peri ÂÉÐ ÇÜ±É Peri ÖÓ Peri Ð Û ÅÉ, Ï²Æ Ä²ÆÛ ÅÂÉ É Peri.1 Æ Peri ĐØ 1 Peri (AFPN) Ð 10 : AFPN = (P, T, F, D, I, O, M, β, λ, ω), ¾ : P = { 1,,, i,, n } ÉÊ ; T = { 1,,, i,, q } ÈÉÊ, Þ ÉÎĐ ; F Ïº, ²ÈÌÉÂ; D = { 1,,, n } ÉÊ ; I(O) : T P (), Ô ÈÆ É Ô; M = {m( 1 ), m( ),, m( i ),, m( n )}, ÄÂ m( i ) = {m 1 ( i ), m ( i ),, m h ( i )} Ì m h ( i ) (0, 1); β : P D P É, ± P Ì É Ô, β( i ) = i, ¼ i i ; λ = {λ 1, λ,, λ q }, λ [0, 1] È T É; ω = {ω 1, ω,, ω i,, ω r }, ÄÂ ω i = {ω 1 i, ω i,, ωh i }, ωh i m h ( i ), È T É ÏºÒÉ ² Â, ¹, Ì É, Æ m 1 ( i ) i ÉÏ ¹ Ä ÉÅÍ Ì ÉÏº, Æ ω i ÏºÉÒ Ä ÉÏÐ ÉÅÍ ¹ Ð ÙÉËÏº, ËÏºÔ ÙÌÉÌ»ÅÍ»º ÂÉ ÄÉÄ ÂÅÍÉ, Æ 1 ÂÉ k É Æ 1 n É ³ ½ÅÍÉ, k É¾ ÆÄÙÉÄ ÉÅÍ,, AFPN Ú Peri ÂÉÂÉ ÅÉÌ» ½½É ² AFPN ÉËÏºÂ, ÅÔ ÉÀ, ÀÉ, ²ËºÂ, ÀÉ Ï² [10 11] Æ AFPN ²ÆÛ ÅÂÉ, ÉÛÒµË Ï Ä ² Peri Ò Ï² Peri Ä: ĐØ Ï² Peri Ð 10 : AFPN = (P, T, F, D, I, O, M, β, λ, ω), ¾ : P T F D I(O) M β ½ Peri, m( i ) = {m 1 ( i ), m ( i ), m 3 ( i ), m 4 ( i )} Ì m g ( i ) (0, 1), g = 1,, 3, 4; λ = {λ 1, λ,,λ q }, λ [0, 1] È T É; ω = {ω 1, ω,, ω i,, ω r } Ì ω i = {ω 1 i, ω i, ω3 i, ω4 i } È T É ÏºÒÉ ÄÂ, i AFPN Â ÂÌ Ä, i ( ) ÉÊÅÅÐÞ (ÂÌ ) ÊÅ½ É, m 1 ( i ) ( ) i ÉË, m ( i ) ( ) i É, m 3 ( i ) ( ) i É Ï, m 4 ( i ) i ÉÄ Ö½, ÉÏºÔ É É ÉÅÍ, ÉºÔ É ÙÌÉÌ»ÅÍ, Ë Peri É½É, Ä ¼Û, Ð ÈÆ Peri (AFPSN), Ä:

79 Ã ««Đ 3 Û ĐØ 3 Peri Ð 10 : AFPSN = (P, T, F, D, I, O, M, β, λ, ω), ¾ : P = { 1,,, i,, n } ÉÊ ; T = { 1,,, i,, q } ÈÉÊ, Þ ÉÎĐ ; F Ïº, ²ÈÌÉÂ; D = { 1,,, n } ÉÊ ; I(O) : T P (), Ô ÈÆ É Ô; M = {m a ( 1 ), m a ( ),, m a ( i ),, m a ( n )}, m a ( i ) (0, 1), a Ð, º; β : P D P É, ± P Ì É Ô, β( i ) = i, ¼ i i ; λ = {λ 1, λ,,λ q }, λ [0, 1] È T É, ω = {ω a 1, ωa,,ωa i,, ωa r } È T É ÏºÒÉ, É ² Å ½ Peri ² 3 ÈÆÏ² Peri É 1 n 1 m( 1) m( ) m( ) m( n 1) n 1 n, k m( k ) k 1 n 1 m( 1) m( ) m( ) m( n 1) n 1 1 1 n, n,, n k m( k ) k m( ), k m( k ) k 1 ¹ÎÜÅÂ AFPN ¹Î ÅÂ AFPN 3 Ü¹ÎÜÅÂ AFPN. Æ Peri Æ ÝÍ 1 3 AFPN ÉÅ, ÄÏ a ÉÉĐÐ ¼ 1 3 Â, ÂÉ f(x) Ü ÄÉÑ 1 1 É Â AFPN É, Ð,, ÈÆÉĐ n m a ( i )ωi a > λ i=1 m a ( k ) = n m a ( i )ωi a, i=1 k Đ m a ( ku ) = f(m a ( k )) É AFPN É, m a ( i )ω a i > λ i, i = 1,,,n Ð,, ÈÆÉĐ m a ( k ) = n [m a ( i )ωi] a, i=1 Đ m a ( ku ) = f(m a ( k )) 3 3 ÉÂ Â AFPN É, ² m a ( )ω a > λ Ð,, Ï k Đ, Đ m a ( k ) = m a ( )ω a, k ²Ü ÄÉĐ m a ( ku ) = f(m a ( k )).3 Æ Peri ÝÀ Ð ÄÖÓ Ú l, n x 1, x,, x n, ² m y 1, y,,y m ÉÏ a É Peri, ¹Ü s, ÄÂ É E s = 1 m (m ae ( k ) s m a ( k ) s ), Â, m ae ( k ) s, m a ( k ) s ÛÜ s ÄÉÂ²Æ U Ü É E = 1 U k=1 s=1 k=1 m (m ae ( k ) s m a ( k ) s ).

4 Ã»É, Ì: ¹ Peri Ê À Ã ³ 793 E s ¾ÉÔÖÏ, µ«, Ø Ó, Ð ÈÆÏ l É ÈÏ l ÉÉ ω al k = η E s ω al k ω al k E s = η m al ( k ) s mal ( k ) s. ωk al (k + 1) = ωal k (k) + ωal k, ÄÂ, η ÓÁ±, ωk a Ï l 1 Ï l k ÌÉ, mal ( k ) Ä ÉĐ ½ÜÐ ÈÆÏ l 1 É ω a(l 1) i = η E s ω a(l 1) i ÈÏ l 1 ÉÉ ω a(l 1) i E s = η m al ( k ) s m al ( k ) s m a(l 1) ( ) ma(l 1) ( ) s, s (k + 1) = ω a(l 1) (k) + ω a(l 1) i i, ω a(l 1) i ÄÂ, η ÓÁ±, ω a i Ï l i Ï l 1 ÌÉ, ma(l 1) ( ) Ï l 1 ÉÏ É ½ÅÐÈÏ l,,1 É ² 3 É Peri ÉÚ¾Ô 3.1 AFPN ÝÆ ²Æ [1] ² É Peri, Ð Ä ¾³Â¾É Â Õ AFPN É Ú, ÌÏº, ÄÕÓÁÍ¾, µ AFPN Û² ÉÖÓ ĐØ 4 AFPN ÉÛ AFPN ¼³Û Ú½É AFPN Æ²Ï² AFPN Â, Ð Ï² AFPN ¼Ë Ï Ä Û Ë Ï Ä, ÛÉÉ ¼ AFPN ÛÂ ÛÉÊ: 1) Â AFPN ; ) ÚÅ ÉÅ ; 3) Ð Ì½É AFPN, ¼, Ä½; 4) ¼É AFPN É Ïº; ) ²ÕÆ, Ð Ä, Í¾, Ä² Â ĐØ AFPN É AFPN AFPN Æ²Ï² AFPN Â, Æ¾Õ½ ÉË Ï Ä Ï² AFPN ÉÊ: 1) ¼É AFPN É; ) É ² AFPN; 3) ÈÆÉ AFPN ; 4) 3. AFPN ÝÓ ² AFPN ÛÈÆ, Ð ÔÓÄ¹ Õ, ÑØË ÑÐÄÉ S (Sigmi) : f(x) = 1/(1 + e (x+θ1)/θ0 ) (1) ¹ÕÜ s, U Ü µõ, ÕÊÄ: 1) ¾ θ 0 θ 1 ε Õ λ ²ÓÁ±; ) Ü Ø, 1 3, ÂĐ; 3).3 ÖÓ, ; 4) Þ ε ½Õ ÞÆ, ÆÝÏ ºÕÎ ), ÆÝÏ ÇÑÕ Î ); ) Þ Ü ÓÁÆ, Î 6), Þ Î ); 6)

794 Ã ««Đ 3 Û 4 AFPN ÜÚ¾ 4.1 ÒÊ ºÝØ¼ AFPN, Ú É³ ÅÜ, ² AFPN ÂÇ Í, Í ÐÛ ÄÅ: 1) ÆÌ ÓÉÍ ² É ³ Â, 13, Ä, 13 ¾ÜÉ Í, Ð ¹Ê È², 6 Ì ) ÆÌ Ä ÉÍ 4a, ²¾ÅÍ Ä, Ð ÉÖÓ ¾, Þ ÎÓ ÉÂÌÈ², ÄÄ É, ÎÓ, Í¾Â ¾ É 4b 3) Ì½ ÌÉ ÉÍ 4c ÌÉ ÉÍ, Ð ² ¹ÊÈ², ¹Ê É 4 1 n 1 n 3 1 n 1 n 3 n 1 n m( 1) n (a) µ Î (b) µ Î Ê«1 1 3 3 1 1 3 4 4 3 (c) µ Î 3 () µ Î 3 Ê«4 ÓË»ÞÙ½ ¾ ¹ÊÉÈ É 0, 1, Ïº 1 ²ÈÉ ÊÐ Â¾Ú É, ±ºÉ ÊÂ ÅÍÉ 4. Å ºÝØ¼ ÑÒ Í ÅÆ, ÚÅÉ, Ã ²Û Â, Ñ ÞÑ Á ÝÏ¾Ë, ÐÝÛ, É¾ ÉÅÖÓ, Ð Û ÄÅ: 1) Û ÛÎÓÉÍ ²¾ÅÍ Ä, Ð Ä: 1. É AFPN ;. Â AFPN Ì ÉÉ Â; 3. ÉÏº Â; 4. É ÞÄ ÉÈ, Î 6, ÉÈ;. ÈÉÏº; 6. É AFPN ; 7. ) Û ÊÉÍ ²¾ÅÍ Ä, Ð Ä: 1. É AFPN ;. ² ÉÂ¹Ê ÊÉÉ Ì ; 3. ¼ ÊÉÄ (ÂÌ ) É ³Â¹Ê ÞÄ ÉÈ, Î, ¹ÊÈ; 4. ¹Ê ²ÈÉÏº, ¹ÊÉÏº ¼½ ÒÉÏºÉÝÒ;. ²¹ÊÉ ² ÈÌ¹ÊÏº, ¹ÊÉÏº ¼½ ÒÉÏºÉÝÒ; 6. É AFPN ; 7.

4 Ã»É, Ì: ¹ Peri Ê À Ã ³ 79 3) Û ( ) ÉÍ ²¾ÅÍ Ä, Ð Ä: 1. É AFPN ;. Ä (ÂÌ ) É³Â Þ ÑÛ¾, Î 3, ¾ ², Î ; 3. Ø Í ÉÉÊÈ Þ Ä Ä, Ä, Î 4, Ä, ¹ÊÈ; 4. ØÉÄ (ÂÌ ) É³Â¹ÊÏº, ¹ÊÉÏº ¼½ ÒÉÏ ºÉÝÒ;. É AFPN ; 6. ÖÑÐÑµ Ï²Æ AFPN É, ÉÏ µ ÉÅÍ, ÉË ½ (Ô) ÉÅ¹ ÂÌ ÉË Ï Á ß ±ÖÚÓË Æ, ÉË Ý, É Ú½ º Î É, ÉÏÍ; ²Ú ÉÍ Ä, ÄÔ ÉÅ¹ Ê, É ÂÏ ĐÍ; Æ É³½ ÉË ¼ËÉÂ, ÉË Ä ÏË,, ÉÏÞ ÉË ÏË ÉÅÍ ÅÍÏÉ Ç, Í¾Å, ß 4, ÉË ½ ÉÅ¹ Â Ì ÉË ÏÍ Ä ( Ä É ß ) 1 3 4 6 7 3g 4 6 u 1 1 8 9 3 4 10 3 4 11 6a 6b 7 1 13 3g 1 4 8 9 10 3 11 6 13 u 11 8 9 10 1 13 8 9 10 11 13 14 14 ß AFPN A 6 ß AFPN B, Ð Ë Ï Ä Ï² Peri É ÆßÉ Ð½ÄÆßÉ (ÂÌ ), Ò ÏÉÛÞ (ÂÌ ), Þ, ² Û ²» Â, (ÂÌ ) ÞÚ ÉÙÝ, ÞÚ½ ÜÉÏÅÍÉ ¾ É ÂÉ Å¹ÉÁÊÅ ÆßÛ Å Õ 8 Å² ÅÂÌ (), Ñ ÊÅÅÐ (), Ú ÉÊÅÅÐ (ÂÌ ) Â 1 1 Â, 1 7 ² 13, ÊÅÉÂÌ 8 1, Ä 14 (ÂÌ ) Ý²ÅÐÂ«ÊÅ, (ÂÌ ) ÅÐÊÅÉ, (ÂÌ ) ÅÐ 1 ( Ô) Þ««ÒÆ 1 3 4 6 7 8 9 10 11 1 13 14 1 3 4 Ø ÉÊÅ Ì ² Ë Ï Ä ÉÐ ÈÆ Ï ² AFPN Ñ Â, Ä A Å¹ÝÏ, ÆßÞÑ

796 Ã ««Đ 3 Û É Ñ, Ì, Ñ ÉÊÅ ÑÛÄ¾: 1 ±Ý, 3 È»ÈÉ, ÅÐ 4 «ÐÍ, 6 ÅÐ 3, 7 ±Ý, ÊÅÉ u ² ÅÐ 3 ÊÅ,, ÓÅÐ 4, Þ ± ÂÌ 1, ÅÐ ÉÊÅÞ±Ý 1 Ñ ² ÒÑÛÛ, ÛÉË ÏÑÛ¾, Ì ÛÅÐÉ Î, Ý Ñ ÉÏ² AFPN B ² ¾³ ÉÂ¾Â, Ñ ÉÅ ÉÅ Ì½, ÝÉÐÌ²Ð ² ÉÂ¾Â, Ñ É ² ÉÒ È É, ²µÖ½ ÌÉ, ² Â Ñ², Ð» ÂÉ ØÆ¾Ê Ó ³ È Ñ, ¾ÜÐ ÞÉÐÌ ²Ð 3g 4 6 u 3g 4 6 u 3g 1 4 6 3 u 8 9 10 11 13 3g 1 4 6 3 u 8 9 10 11 13 8 9 10 11 13 8 9 10 11 13 14 14 14 14 z 7 z14 B ÞÇ ³ ¼ 4. ÖÓ A Î, ¼ 4.1 ÖÓ ¾ Ò Å Ð ÈÆ B 6 B, A Ì, ÑÛ¾, Ä ¾É É, Ý Õ È É B ² A ÉÒ¾ É, Ñ ÉÌ, ¾ ²µ Ò ÌÉ, Ú Ì½É,»ÓÉÕ, ² ÉÐÌ Ð ÈÆÉ B, Ð Ç ÏÉ ² B ÉÆ¾ÕÊÄ: 1. ÂÕÉ B, Þ², ¼ 4.1 ÖÓ É ¾;. ÉÛ, ¹Ê ÉÈ², ¹ÊÉ z ² z14, ÈÉ Ïº É Ì; 3. ¼ 3. ÖÓÕ, ÕÜ Ð ÉÂÉ² ÉË Ï Ä ËØ 4. Õ É ÈÆÆ¾ Õ É B, Ä ËÁÏ²Ð ;. Ê Â¹ÊÉÏº² ¹ÊÊÅ, ÏÉ ¼ÒÊÅ 7, ÍÂ Å, Â¼Ë ²Ä, Þ² ²Ï Ô Þ Û ÏÙÌË (1) ÉÃ m( ) m( 3g) m( 4) m( ) 1 {0.3, 0.48, 0.41, 0.0} {0., 0.4, 0., 0.0} {0.3, 0.66, 0.7, 0.0} {0.77, 0.0, 0.61, 0.0} {0.38, 0.4, 0.40, 0.4} {0., 0.4, 0.1, 0.4} {0.3, 0.63, 0.8, 0.4} {0.79, 0.3, 0.6, 0.4} 3 {0.38, 0.46, 0.4, 0.40} {0.0, 0.47, 0.4, 0.40} {0.3, 0.6, 0.7, 0.40} {0.80, 0.3, 0.69, 0.40} 4 {0.41, 0.47, 0.41, 0.0} {0.3, 0.0, 0.7, 0.0} {0., 0.64, 0.7, 0.0} {0.81, 0., 0.7, 0.0} {0.41, 0.4, 0.43, 0.} {0.7, 0.0, 0.61, 0.} {0.7, 0.67, 0.60, 0.} {0.81, 0.9, 0.7, 0.} 6 {0.39, 0.4, 0.4, 0.60} {0.60, 0.0, 0.60, 0.60} {0.8, 0.6, 0.61, 0.60} {0.79, 0.61, 0.7, 0.60}

4 Ã»É, Ì: ¹ Peri Ê À Ã ³ 797 3 Ô Þ Û ÏÙÌË () ÉÃ m( 6) m( u) m( ) m( 14) 1 {0.4, 0.44, 0.38, 0.0} {0., 0.47, 0.8, 0.0} {0.37, 0.39, 0.48, 0.0} {0.6, 0.3, 0.49, 0.0} {0.4, 0.44, 0.37, 0.4} {0.9, 0.0, 0.60, 0.4} {0.39, 0.41, 0.48, 0.4} {0.6, 0.1, 0.3, 0.4} 3 {0.44, 0.48, 0.37, 0.40} {0.6, 0.3, 0.61, 0.40} {0.39, 0.41, 0.48, 0.40} {0.6, 0.0, 0.1, 0.40} 4 {0.4, 0.47, 0.37, 0.0} {0.6, 0.6, 0.61, 0.0} {0.39, 0.41, 0.48, 0.0} {0.64, 0.49, 0.4, 0.0} {0.43, 0.0, 0.36, 0.} {0.67, 0.6, 0.6, 0.} {0.38, 0.40, 0.48, 0.} {0.66, 0.48, 0.7, 0.} 6 {0.43, 0.1, 0.37, 0.60} {0.68, 0.7, 0.6, 0.60} {0.38, 0.41, 0.47, 0.60} {0.66, 0.48, 0.60, 0.60} ÑÕ É B Ð ÉÏ² ÂÉ A É: ω 1 ={ω 1 1, ω 1, ω3 1, ω 4 1}={0.3,0.46,0.9,0.36}, ω ={0.68,0.7,0.6,0.4}, ω 3 ={0.4,0.49,0.0,0.3}, ω 4 ={0.34,0.38,0.47,0.46}, ω ={0.,0.4,0.60,0.46}, ω 6a ={0.44,0.36,0.4,0.}, ω 6b ={0.61,0.3,0.,0.7}, ω 7 ={0.,0.4,0.8,0.63}, ω 13 ={0.39,0.47,0.6,0.60} ÙË Ï Ä ÆÂ, : ω 14 ={ω, ω s, ω, ω } ={0.,0.38,0.66,0.6} ¼ 4. ÖÓ, Ð ÈÆ B ÕÉÉ: ω ={0.68,0.7,0.6,0.4}, ω 3g ={0.4,0.49,0.0,0.3}, ω 4 ={0.34,0.38,0.47,0.46}, ω ={0.,0.4,0.60,0.46}, ω 6 ={0.44,0.36,0.4,0.}, ω u ={0.,0.47,0.0,0.1}, ω ={0.,0.47,0.0,0.1}, ω 14 ={0.,0.38,0.66,0.6} ÉË ÏÄ ØÈÂ, Ï 1 Ï 6 ÈÂÉË Ï Ä Ø ² 3 (Í¾Ø, ¾ ÉØÆ) θ 0 = 0.4 θ 1 = 1. ε = 0.01, ² 3 ÉØ ¼ 3. ÖÓÛ Õ, ÐÈÆÕ É B É ω ={0.70,0.73,0.7,0.4}, ω 3g ={0.4,0.0,0.,0.3}, ω 4 ={0.3,0.38,0.48,0.46}, ω ={0.4,0.46, 0.6,0.47}, ω 6 ={0.4,0.36,0.46,0.}, ω u ={0.6,0.49,0.48,0.}, ω ={0.4,0.37,0.46,0.3}, ω 14 ={0.7,0.1, 0.81,0.36} Ð ² ÉØÈÂÇÑÕ ÈÆÆ¾ ²ÈÆÕ ÉØ Ï 7 ÈÂË Ï Ä Ø ( 4 ), Ð Ï 6 ÈÂÕ ÉÏ 7 ÈÂÉ Ï ², 1 3 1 ÑÂÐ ÈÆÏ 7 ÈÂ ¾É Ï² 0.7 6 ±» Peri É ²Ê À, Ä Ê, Ä Â Å ¹ É Å, Å 4 ( ) Ð 7 Ë Ù m( ) {0.40, 0.47, 0.4, 0.60} m( 3g) {0.61, 0.4, 0.6, 0.60} m( 4) {0.8, 0.67, 0.60, 0.60} m( ) {0.81, 0.6, 0.69, 0.60} m( 6) {0.44, 0.0, 0.37, 0.60} m( u) {0.66, 0.6, 0.63, 0.60} m( ) {0.37, 0.41, 0.48, 0.60} Peri ÂÉÐ ÇÜ±É Peri ²Ò, Ç ¾³ÓÄÉ AFPN, ÉÕ Í ²ÊÅ ¾Í ÉÅË, Û² ËÛ ÉÖÓ Peri Peri Ú ÊÉ É, Ï²ÉÆÞÛÄ Ñ ÉÌÇ ¾³ÓÄÉ Æ¾ Â¾ÂÉÂÚ, ¾ ÊÆÂ Ä Peri Á»É Peri Ð, Ì ÉÞ ÛÂÅÉ Ê, ³ ÎÍ¾ Æ¾Ä ÖÓ ÇÑ ÕÉ ÖÏ [1] Ö Ð, Ù. À Ã ÐÀÆÀ Ã [J]. Ã¾À Ã -CIMS, 001, 7(8): 7 11. Yan H S, Liu F. Knwlegeable manufacuring sysem A new kin f aance manufacuring sysem[j]. Cmuer Inegrae Manufacuring Sysems-CIMS, 001, 7(8): 7 11. [] Li X O, Yu W, Lara-Rsan F. Dynamic knwlege inference an learning uner aaie fuzzy Peri ne framewrk[j]. IEEE Transacins n Sysems, Man an Cyberneics, 000, 30(4): 44 40. [3] Tang Y, Turwski M. Aaie fuzzy sysem fr isassembly rcess lanning wih uncerainy[j]. Jurnal f

798 Ã ««Đ 3 Û he Chinese Insiue f Inusrial Engineers, 007, 4(1): 0 9. [4], Ø, É, Ì. ¹ Peri Ê ØÖ [J]. ¼ÔÔ, 001, 3(10): 996 999. Dng H Y, Bai J S, Zhu Z, e al. Suy fr knwlege reresenain an acquisiin base n fuzzy clure Peri ne[j]. Jurnal f Xi an Jiang Uniersiy, 001, 3(10): 996 999. [] Huang Y M, Chen J N, Huang T C, e al. Sanarize curse generain rcess using ynamic fuzzy Peri nes[j]. Exer Sysems wih Alicains, 008, 34(1): 7 86. [6] Chen J N, Huang Y M, Chu W C. Alying ynamic fuzzy Peri ne web learning sysem[j]. Ineracie Learning Enirnmens, 00, 13(3): 19 178. [7] Ding Z H, Bunke H, Schneier M, e al. Fuzzy ime Peri ne efiniins, reries, an alicains[j]. Mahemaical an Cmuer Melling, 00, 41(/3): 34 360. [8] Shen V R L. Knwlege reresenain using high-leel fuzzy Peri nes[j]. IEEE Transacins n Sysems, Man, an Cyberneics, 006, 36(6): 10 17. [9] Shen V R L. Reinfrcemen learning fr high leel fuzzy Peri nes[j]. IEEE Transacins n Sysems, Man, an Cyberneics, 003, 33(): 31 36. [10], ËÇ, Ë. ÆÀ«ÎÎ ÅÊÆ Ç [J]. Ã ««Đ, 008, 8(4): 1 11. Xu Z, Zhu D L, Zhu W G. Suly chain crinain uner buy back cnrac wih sales effr effecs[j]. Sysems Engineering Thery & Pracice, 008, 8(4): 1 11. [11] Wiiara H, Viswanahan S, Pilani R. Frecasing aggregae eman: An analyical ealuain f -wn ersus bm u frecasing in a rucin lanning framewrk[j]. Inernainal Jurnal f Prucin Ecnmics, 009, 118(1): 87 94. [1] Ma K P, Yan H S. Manufacuring me selecin in knwlegeable manufacuring uring ruc life cycle[j]. Inernainal Jurnal f Aance Manufacuring Technlgy, 008, 37(11/1): 1191 1199.