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Fuzzy neizrazita logika uvod

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  • 3. GRN QHL]UD]LWD ORJLND SRGUåDYD UDVSRQ YULMHGQRVWL RG SRWSXQH ODåL GR SRWSXQH LVWLQH WM SRNULYD UDVSRQ YULMHGQRVWL L] LQWHUYDOD GR 2;B 1HL]UD]LWL SRGVNXSRYL 1HL]UD]LWL SRGVNXS 6 VNXSD ) PRåH VH GHILQLUDWL NDR VNXS XUH HQLK SDURYD 6 ^ I Y
  • 4. _ I Ÿ ) Y Ÿ @ ` JGMH MH SUYL þODQ XUH HQRJ SDUD HOHPHQW RG ) GUXJL þODQ EURM L] LQWHUYDOD GR GR =D VYDNL HOHPHQW RG ) SRVWRML WRþQR MHGDQ XUH HQ SDU NRML GDMH VWXSDQM SULSDGQRVWL I X SRGVNXS 6 âWR VH PRåH NUDüH ]DELOMHåLWL NDR 6 ^ I_Y I_Y IL_YL ` 1D WDM QDþLQ GHILQLUDQD MH IXQNFLMD J NRMD VYDNRP HOHPHQWX RG ) GRGMHOMXMH MHGDQ EURM L] LQWHUYDOD RG GR J )  @ J[
  • 5. [ QLMH HOHPHQW RG ) J[
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  • 12. .DR SULPMHU PRåH VH X]HWL SRGMHOD PUHåQLK þYRURYD SR YUHPHQX RG]LYD WM GHILQLUDQMH YULMHGQRVWL DWULEXWD WUDMDQMD RG]LYD PUHåQRJ þYRUD 7DEOLFD
  • 13. 7DEOLFD 9ULMHGQRVWL RãWUH IXQNFLMH Y[
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  • 18. NRMD LVND]DQD ULMHþLPD ]QDþL [ MH VSRU DNR MH YULMHPH RG]LYD YHüH RG PV D YULMHGQRãüX Y[
  • 19. [ ! PV Y[
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  • 21. LPD SUHNLG X PV ãWR MH SRVOMHGLFD QMHQH GHILQLFLMH LDNR MH YULMHPH RG]LYD UHDODQ EURM WM NRQWLQXLUDQD YHOLþLQD 6OLND
  • 22. ,YLFD $QD -DVQD 'DPLU 3HUR 6OLND *UDI RãWUH IXQNFLMH Y[
  • 23. =D QHL]UD]LWL SRGVNXS GHILQLUDPR SULSDGQRVQX IXQNFLMX YULMHPH RG]LYD Y[
  • 24. QD SULURGQLML QDþLQ NDR QHSUHNLQXWX IXQNFLMX 7DEOLFD 6OLND
  • 25. 7DEOLFD 7DEOLFD QHSUHNLQXWH IXQNFLMH Y[
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  • 31. .DR ãWR MH YLGOMLYR QD VOLFL QHSUHNLQXWD IXQNFLMD Y[
  • 32. GDMH GDOHNR NRULVQLML RSLV EU]LQH RG]LYD PUHåQRJ þYRUD NRMLP VH PRJX GDYDWL L XVSRUHGEH V GUXJLP DWULEXWLPD WM GRQRVLWL RFMHQH 3ULND] QHL]UD]LWLK VNXSRYD 1HL]UD]LWL VNXSRYL VH X UDþXQDOLPD SULND]XMX NDR SROMD YDULMDELOQLK LOL ]DGDQLK GXåLQD 2YLVQR R REOLNX JUDID SULSDGQRVQH IXQNFLMH NRULVWH VH UD]OLþLWH PHWRGH L]JUDGQMH QHL]UD]LWLK VNXSRYD 5D]OLNXMHPR QHNROLNR JUXSD QHL]UD]LWLK VNXSRYD SR REOLNX 7DEOLFD
  • 33. 3ULND] REOLND RYLVL R DODWX NRML VH NRULVWL 8RELþDMHQR MH GD VH GRPHQD VNXSD VHJPHQWLUD L QD SRMHGLQLP VHJPHQWLPD GD VH YULMHGQRVW IXQNFLMH SULSDGQRVWL DSURNVLPLUD ILNVQLP L]QRVRP LOL OLQHDUQRP DSURNVLPDFLMRP SUHPD UXEQLP YULMHGQRVWLPD 3RGMHOD VH RELþQR YUãL QD VHJPHQDWD SD GRPHQH VNXSRYD QH VPLMX ELWL SUHYHOLNH ]ERJ SUHFL]QRVWL DSURNVLPDFLMH
  • 34. 7DEOLFD 2EOLFL QHL]UD]LWLK SRGVNXSRYD 2EOLN 2SLV =YRQROLNL JUDI L]JOHGD NDR ]YRQROLND NULYXOMD 3, LOL %(7$ NULYXOMD
  • 35. 6LJPD UDVWXüD LOL SDGDMXüD VLJPD NULYXOMD /LQHDUQL JUDI MH SULEOLåQR SUDYDF UDVWXüL LOL SDGDMXüL 6ORERGQD VHULMD JUDI QHPD QHNL SUDYLODQ REOLN 6NXS SUDYLOD MH RELþQR RQR ãWR MH LQWXLWLYQR MDVQR R VXVWDYX D REOLN VNXSRYD L SULGMHYL NRML SRGHãDYDMX SUDYLOD XWYU XMX VH NUR] UD]YRM QHL]UD]LWRJ VXVWDYD 8 RYRP UDGX QDMYLãH VX NRULãWHQL WURNXWDVWL VNXSRYL ]D RSLV QHL]UD]LWLK EURMHYD WH VORERGQH VHULMH NRG NUHLUDQMD VNXSRYD NRML RSLVXMX SULURGQR SRQDãDQMH QHNH YHOLþLQH /RJLþNH RSHUDFLMH QD QHL]UD]LWLP SRGVNXSRYLPD 0RJXüH VX L ORJLþNH RSHUDFLMH QD QHL]UD]WLWLP VNXSRYLPD 'HILQLFLMH ORJLþNLK RSHUDFLMD VX MHGQRVWDYQH L VWDQGDUGL]LUDQH VX QD LVWLQD QH [
  • 37. LVWLQD $ L %
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  • 69. •Ã PDOR YULMHPH RG]LYD •Ã VUHGQMH YULMHPH RG]LYD •Ã YHOLNR YULMHPH RG]LYD 7H VH YDULMDEOH GHILQLUDMX SUHNR QRYLK IXQNFLMD 3ULPMHQD OLQJYLVWLþNLK YDULMDEOL RPRJXüXMH SLVDQMH SUDYLOD JRWRYR X JRYRUQRP MH]LNX 2GDWOH MH L QD]LY OLQJYLVWLþND YDULMDEOD 6DPD VHJPHQWDFLMD VH RVQLYD QD YHü RSLVDQRP SRVWXSNX L]JUDGQMH YULMHGQRVWL ]D QHL]UD]LWH VNXSRYH SXWHP DSURNVLPDFLMH YULMHGQRVWL VNXSD QD VHJPHQWX GRPHQH VNXSD
  • 70. PDOR VUHGQMH YHOLNR YULMHPH RG]LYD YULMHPH RG]LYD YULMHPH RG]LYD ,YLFD $QD -DVQD 'DPLU 3HUR 6OLND /LQJYLVWLþNH YDULMDEOH L]YHGHQH L] YUHPHQD RG]LYD 2JUDGH QD QHL]UD]LWLP VNXSRYLPD 3UL NRULãWHQMX QHL]UD]LWLK VNXSRYD GHILQLUDMX VH L SRVHEQL RSHUDWRUL RJUDGD HQJO KHGJHV
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  • 72. SULSDGQRVQH IXQNFLMH L QD WDM QDþLQ SRMDþDYDMX LOL VODEH ]QDþHQMH VNXSD 7DEOLFD
  • 73. .RULVWH VH X QHL]UD]LWLP HNVSHUWLPD ]D SULND] ]QDþHQMD SULGMHYD 9UOR VX SRJRGQL ]D ]DSLVLYDQMH RELþQLK JRYRUQLK VXGRYD X REOLNX QHL]UD]LWLK SUDYLOD •Ã D MH MDNR YHOLN •Ã MH EOL]X F
  • 74. 7DEOLFD 9H]D RJUDGH L PRJXüH PDWHPDWLþNH RSHUDFLMH 2JUDGD =QDþHQMH QXPHULþNL RSLV $%287 NRG ‘ $5281' RNR ‘ $%29( L]QDG YHüH RG JUDQLFH 326,7,9( VLJXUQR YHüH RG JUDQLFH %(/2: LVSRG PDQMH RG JUDQLFH *(1(5$// RSüHQLWR RNR JUDQLFH L L]QDG JUDQLFH /26( EOL]X ‘ ‘ 127 QH LQYHUWLUDQR 620(:+$7 QHNDNR XVND RNROLQD 9(5 MDNR XVND RNROLQD QDNRQ YULMHGQRVWL (;75(0(/ HNVWUHPQR VXåHQMH VNXSD QD ãLULQH 6/,*+7/ QH]QDWQR ‘ $)7(5 QDNRQ VYH QDNRQ %()25( SULMH VYH SULMH 58'( X JUXER ‘ 528*+/ SULEOLåQR ‘ ,DNR VH X]LPD GD VX RJUDGH VWDQGDUGL]LUDQH RQH RYLVH R SUREOHPX QD NRML VH QHL]UD]LWD ORJLND SULPMHQMXMH 7RþQR SRGHãDYDQMH QMLKRYH YULMHGQRVWL SRVWLåH VH X SRVWXSNX SRGHãDYDQMD PRGHOD 2;B 6,/(B 1HL]UD]LWL EURMHYL 3RMDP QHL]UD]LWRJ EURMD HQJO IX]] QXPEHU
  • 75. MH YUOR YDåDQ X RYRP UDGX 1HL]UD]LWL EURM PRåH VH MHGQRVWDYQR GHILQLUDWL NDR EURM þLML MH VWYDUQL L]QRV QHVLJXUDQ 5DGL VH R QDþLQX GD VH RSLãH RNROLQD QHNRJ EURMD D RELþQR VH NRULVWL ]DMHGQR X] RJUDGH ,]UD] RNR MH SULPMHU ]D QHL]UD]LWR SUHGVWDYOMDQMH EURMD 2NROLQD L WLS SULSDGQRVQH IXQNFLMH X]LPDMX VH RYLVQR R WLSX SUREOHPD X þLMHP VH NRQWHNVWX QHL]UD]LWL EURM NRULVWL 'REUD SRþHWQD DSURNVLPDFLMD MH WURNXWQL VNXS X] JUDQLFH ‘ 6OLND
  • 76. ãWR RGJRYDUD GHILQLFLML RJUDGH RNR 1DþLQ SULND]D QHL]UD]LWRJ EURMD MDNR RYLVL R XSRUDEL WRJ EURMD 5D]QL DXWRUL SUHSRUXþXMX LOL WURNXWDVWL VNXS 6,/(B LOL ]YRQROLNL VNXS 2;B 2GDELU RYLVL R WRPH GD OL VH UDGL R VWDWLþNRP XVSRUH LYDQMX EURMD L YHü SRVWRMHüHJ VNXSD LOL R XVSRUH LYDQMX GYDMX EURMHYD GLQDPLþNL =D GLQDPLþNL VOXþDM WURNXWDVWL VNXS MH EROML ]ERJ PDQMH VORåHQRVWL D WRþQRVW MH SULEOLåQR LVWD
  • 77. RNRB 6OLND 1HL]UD]LWL EURM LOL RNR X L]UDåHQR RELþQLP JRYRURP 1HL]UD]LWL HNVSHUWQL VXVWDYL L QHL]UD]LWR ]DNOMXþLYDQMH 1HL]UD]LWL HNVSHUWQL VXVWDY VH GHILQLUD NDR HNVSHUWQL VXVWDY NRML RGOXNH GRQRVL QD RVQRYL QHL]UD]LWH ORJLNH 3UHPD WRPH QHL]UD]LWL HNVSHUWQL VXVWDY MH VNXS SULSDGQRVQRLK IXQNFLMD L SUDYLOD ]D ]DNOMXþLYDQMH 3UHGQRVW QHL]UD]LWRJ HNVSHUWQRJ VXVWDYD MH X WRPH ãWR VH ]DNOMXþLYDQMH L]YRGL UDþXQDQMHP D QH VLPEROLþNLP ]DNOMXþLYDQMHP 6WRJD VH PRJX UD]YLWL L HNVSHUWQL VXVWDYL ]D UDG X VWYDUQRP YUHPHQX LOL ]D UDG QD UDþXQDOQRP VODELMLP SODWIRUPDPD 8 RVQRYL XYLMHN SRVWRML WRþQR RGUH HQL EURM SUDYLOD NRMD VH L]UDþXQDYDMX SD YULMHPH GRQRãHQMD ]DNOMXþDND MH OLQHDUQR SURSRUFLRQDOQR EURMX SUDYLOD QHL]UD]LWRJ HNVSHUWD 0RJXüH VX L VLWXDFLMH JGMH EURM SUDYLOD RYLVL R QHNRP VYRMVWYX QR RQH VH PRJX VYHVWL QD VOXþDM ILNVQRJ EURMD SUDYLOD 3ULPMHQRP LQWHUSUHWLUDQLK MH]LND NDNDY MH 7/ PRJXüH MH L]JUDGLWL NRPELQLUDQL DODW X NRP VH QHL]UD]LWD ORJLND L QHL]UD]LWL HNVSHUWL NRULVWH X SXQRM VORERGL L GLQDPLþNRP SULODJR LYDQMD VLWXDFLML 3UL WRPH VH PRåH SRVWLüL L MHGQRVWDYQD L]JUDGQMD VXVWDYD V YDULMDELOQLP EURMHP SUDYLOD RYLVQLP R VYRMVWYLPD REMHNDWD NRML VH SUDWH
  • 78. 3UDYLOD X QHL]UD]LWLP HNVSHUWLPD VX MHGQDND SUDYLOLPD X RVWDOLP HNVSHUWLPD RELþQR VX REOLND DNRBMH ; PDOR L YHOLNR
  • 79. RQGD MH = VUHGQMH
  • 80. ; L VX XOD]QH YDULMDEOH HQJO LQSXW
  • 81. SRGDWNRYQH YULMHGQRVWL = MH L]OD]QD YDULMDEOD HQJO RXWSXW
  • 82. GLR XQXWDU DNRBMH L RQGD QD]LYD VH XYMHW LOL SUHWSRVWDYND GLR L]D RQGD MH ]DNOMXþDN PRåH ELWL YLãH ]DNOMXþDND ]D MHGQR SUDYLOR 6NXS SUDYLOD VH QD]LYD ED]D ]QDQMD LOL ED]D SUDYLOD HQJO UXOH EDVH NQRZOHGJH EDVH
  • 83. $NR MH XYMHW SUDYLOD ]DGRYROMHQ NDåH VH GD SUDYLOR L]YUãDYD WH VH L]UDþXQDYD YULMHGQRVW ]DNOMXþND ]D WR SUDYLOR 3UDYLOR VH SULPMHQMXMH X VOXþDMX GD MH YULMHGQRVW SUDYLOD YHüD RG QHNRJ SUDJD þLPH VH SRGHãDYD RVMHWOMLYRVW VXVWDYD 3URFHV ]DNOMXþLYDQMD X QHL]UD]LWRP HNVSHUWQRP VXVWDYX SURYRGL VH X QHNROLNR NRUDND 2;B •Ã SULGUXåHQMH YULMHGQRVWL SULSDGQRVQH IXQNFLMH •Ã LQWHUIHUHQFLMD •Ã NRPSR]LFLMD •Ã UDþXQDQMH SULSDGQH þYUVWH YULMHGQRVWL 3UL UDþXQDQMX YULMHGQRVWL SULSDGQRVQH IXQNFLMH XOD]QH YHOLþLQH VH SURSXãWDMX NUR] SULSDGRVQH IXQNFLMH GD EL VH GRELOH SULSDGRVQH YULMHGQRVWL ]D VYDNX SULSDGQRVQX IXQNFLMX 6WXSDQM LVWLQLWRVWL SUDYLOD QD]LYD VH DOID SUDYLOD LOL LVWLQLWRVW SUDYLOD $NR SUDYLOR LPD LVWLQLWRVW YHüX RG WDGD WR SUDYLOR GMHOXMH RNLGD
  • 84. 'MHORYDQMHP SUDYLOD VH VYDNRP ]DNOMXþNX SULGUXåXMH MHGDQ QHL]UD]LWL SRGVNXS 0RJXüH MH L SRVWDYOMDQMH RJUDQLþHQMD QD L]QRV DOID YULMHGQRVWL SUDYLOD WM SUDYLOR PRUD LPDWL DOID YULMHGQRVW YHüX RG QHNH JUDQLþQH GD EL GMHORYDOR QD UH]XOWDW 3UHPD SUDYLOLPD LQWHUIHUHQFLMH L]UDþXQDYD VH SULSDGQRVQD IXQNFLMD QHL]UD]LWRJ VNXSD ]DNOMXþND ]D VYDNR SUDYLOR NRMH MH GMHORYDOR 3RVWRMH GYD RVQRYQD SRVWXSND LQWHUIHUHQFLMH PLQLPXP L SURGXNW =D SUDYLOR PLQLPXPD L]OD]QD SULSDGQRVQD IXQNFLMD L]UDþXQDYD VH NDR PLQLPXP SULSDGQRVQH IXQNFLMH SUDYLOD L QMHJRYH DOID YULMHGQRVWL .RG NRULãWHQMD SUDYLOD SURGXNWD L]OD]QD SULSDGQRVQD IXQNFLMD L]UDþXQDYD VH NDR XPQRåDN DOIH SUDYLOD L QMHJRYH SULSDGQRVQD IXQNFLMH 8 RYRP UDGX MH NRULãWHQR SUDYLOR PLQLPXPD .RPSR]LFLMD REMHGLQMXMH VYH QHL]UD]LWH VNXSRYH NRML VX SULGUXåHQL MHGQRM L]OD]QRM YDULMDEOL SURFHVRP LQWHUIHUHQFLMH 3RVWRMH GYD RVQRYQD SRVWXSND NRPSR]LFLMH PDNVLPXP L VXPD 0DNVLPXP SRVWXSDN UDþXQD PDNVLPXP ]D VYH SULSDGQQRVQH IXQNFLMH 3RVWXSDN VXPH MH ]EURM VYLK SULSDGQRVQLK IXQNFLMD SD PRåH GRYHVWL GR XNXSQRJ ]EURMD LVWLQLWRVWL YHüHJ RG 8 RYRP UDGX VH NRULVWL SRVWXSDN PDNVLPXPD
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