A fuzzy logic based rippability classification system

Transcription

1 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 817 Sy A fuzzy lg bd bly lf ym by H. B*, C. Kuz d L. uluglu Du h vml d h lm blg, g gud lg d bkg mhd h bm m ul bh mg d vl gg l. Bu f h hlgl dv dz mufug hqu, m wful dz y vlbl dy. hu, h gud, vuly lfd -bl, h bm bl. A qu, m lbl bly lf ym dd whh d bh qum wll k ll l. h f mlmy h wk d h dvlm f vuly ublhd gdg bly lf ym by h l f fuzzy hy. h gd bly lf ym d h mbd ulz f h k d qum, wll x. Fuzzy hy w h mly bu dl wll wh uy h h f vbl. Alhugh h h duu bud xg lf ym, lly m f h f vlvd h g l wll dfd d bud m blud ( fuzzy) u u. Al by m f fuzzy lg bl lm b ubjvy. h vldy f h d ym w hkd by h m g xg lf ym d d g du vlu bd udd. I h by m f fuzzy lg, h u dud d bd ug f h fl g h lv ym ffly dl wh. Kywd: Fuzzy hy, k bly, bly lf ym, d g, fuzzy f ym. xg lf ym my d b xdd lbd by kg u h dz mufug hqu g. Bh k d qum ff h bly f k, d lbl lf ym huld d bh mh d k gh. My bly lf ym hv b dvld v h y. h ym dvdd mly w gu, mly, d d d bly lf mhd. I h d bly lf mhd, d g l dud fld wh vlbl qum. Id mhd ulz k m d ml. hy, u, dvdd h m gu: m vly bd mhd, ghl mhd d gdg mhd. Ov h y d h g f jul h h b muh db v h bly lf ym. h dd h db by g mly gdg mhd h d fuzzy lg ym gdg mhd by u. Idu Rg, d dggg d dllg-blg h m mhd f bkg d lg gud. I h dllg-blg mhd, gy ulzd by xlv, wh g d d dggg, gy ulzd by mhl xv qum. I g, h gy, gd by h dz d md h y, ud d l h gud. A dz d y hw Fgu 1. Rg ug dz uld b w h d du h u f xlv mg qu d vl gg wk. h Fgu 1 A dz d y * Dm f Mg Egg, Iu Uvy, Mly, uky. Dm f Mg Egg, Mddl E hl Uvy, Ak, uky. h Suh Af Iu f Mg d Mllugy, SA ISSN X/ vd Nv. 2006; vd vd S h Jul f h Suh Af Iu f Mg d Mllugy VOLUME 107 REFEREED AER DECEMBER

2 SAIMM_D_61-77:ml Jul 12/11/07 9:03 AM g 818 A fuzzy lg bd bly lf ym I gdg mhd, dff k m d ml gdd ly. h mhd mly bd h k m lf ym. h fm f h mhd Wv 1 mhd; m d gd w ml h ud k m g (RMR2) k m lf ym fm gudw d. h um du f h lv wghd m dm h bly l f k. My h hv vgd h mhd d hv d dff gdg bly lf mhd1,3,4, 9. Sm mm mf hv b bvd d bly lf ym. A mm mf m lf mhd h l bud b h, y u (Ayd10). I h gdg mhd, h mh b bd wd ul m. h ld xdd db h lv m bw m. I dd, m f h mhd gv qulv (lgu) ul d f quv ul, whh bg l b ly d qu xd f ul. Fuzzy hy bly lf dl wh m f h vd dwbk lgly. Fuzzy hy ud h h dvl bly lf ym, whh v h l bly lf ym9 ldy ublhd by h uh. h d ym h l b vfd by d g u d xg bly lf ym. Fuzzy hy d vu ud Fuzzy hy h ly mhml wy lgu vgu d w dvld xmly fu dd g11. I h ll hy, gv lm h blg d blg. h mmbh f lm (0,1) d A f l bj dbd by uqu mmbh fu uh X A Fgu 2. O h h hd, fuzzy hy mmbh fu whh vy fm 0 1 fd Fgu 2. h, h fm blg blg gdul d h hzd by mmbh fu. h mmbh fu mdllg mmly u lgu m uh m vly vy f Shmd hmm hd f. h h ky f mdllg ll-dfd ym by mg h hum b wh mgg ul d12. A bf xé f h mhml m f fuzzy hy gv Adx A f f u. Fuzzy hy flxbl l d m d b ld by h u f fuzzy. h m m dvg h, ulk h mdllg hqu, h f x b ulzd fuzzy hy. Du h bv dvg, h fw y, fuzzy hy h b wdly ud my mg d ghl gg j. Nguy13 d Nguy d Ahwh14 d h f fuzzy k m lf h. Jg. l.15 ulzd fuzzy ym hz h f d h f ghl hz. Cby16 d B17 ud fuzzy ym f h l f mum qum mb uf m. Gky18 mlyd fuzzy ym h wghg f h k m lf ym d by B. l.19. Gkglu20 dud fuzzy gul h d h uxl mv gh f Ak gglm. Smz. l.21 dbd h l f fuzzy hy h Glgl Sgh Idx Sym22 by g h judgm d x g g. Ih d Gk23 ld fuzzy hy f h vl dggbly lf ym. h hl gh wh l fld, lby d uml ly ud hv b ud dvl bly lf ym h blvd hld gf dvg v xg ym. Fld d lby ud Fld ud w dud uf lg m f h GLI dv f ukh Cl E (KI) d Dm Ex Sv Kgl Lg (SKL) m. Fu dff l f GLI mly, 34 Mk, Oml, 18 H d Ku l hv b vgd. I SKL w dff l hv b udd, mly 305 d 310 l. h d f gv blw. I ublk d, 34 Mk l, lghly whd gy ml u bvd. h lgh dl m duy uf. Mly, w duy w dfd. Duy g g fm m, wh vg f 1.5 m. h bd hk xmly 2 m f h l. A fh d hghly g ml u bvd h Oml l. h g f whg duy uf. h w f duy, dul h bddg l. Sg h g f m, wh vg f 2.0 m. h vg hk f h bddg 2.25 m. I h 18 H l f ublk m, fh lghly whd d lghly g lgh gy ml u. h lgh dl mj duy uf. w m duy w dguhd, hvg g h g f m, vg g 0.7 m. h vg hk f h ly 1.0 m gg fm m. I Fgu 2 C d fuzzy 818 DECEMBER 2007 VOLUME 107 REFEREED AER h Jul f h Suh Af Iu f Mg d Mllugy

3 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 819 A fuzzy lg bd bly lf ym Ku l lghly whd bu g ml u f gy lu bvd. h w m duy. h g f h h g f m, wh vg g f 1.0 m. h hk f h ly bu 1 m. I Sv Kgl d, h 305 l, fh f lgh g gy lyy ml u bvd. w m duy dguhd, wh mly 0.4 m g. h hk f h bd h g f m, h vg g dmly ud 1 m. Glly lghly whd, wh g ml u x h 310 l. w m duy dul h bddg l bvd. Duy g 1 2 m wh vg f 1.25 m. Avg bd 1 m. I h fld, k y, dg f whg, umb f duy, duy g, Shmd hmm hd vlu, bd hk d m -wv vl w dmd. Lby xm, ludg uxl mv gh (UCS), d l gh, u wgh d ld gh dx (I (50) ) w ll dud h Mg Egg Rk Mh Lby f h Mddl E hl Uvy (MEU). All lby xm d fld vg w dud d wh h Il Sy f Rk Mh uggd mhd27. Rk m d ml f udd l gv bl I d bl II. D g l D g l vy m f dmg h f g d mum f huly du; hy l h m m hk h vldy f h d lf ym. Obv uh mum f dh d huly du dug d g l ly m l h m f h f g9. Cll D8 y dz w ulzd dug d l ll udd l. I umd h h ul f h h huld l b vld f h CA D8 d dz f h h m. h d f g w ld dul h k f h m duy h ld m l b h m fvubl uhg d f h duy. dm d g du vlum by lgh, d g m mhd w ud. Dug d g, h g m ( )d muvg m ( m ) w dd d g d (L), wdh (W) d dh (D) w mud. h bv f hg f dh fl h d h ffy f g. h mud d dd m d bl III d hw Fgu 4. I h udy, g lgh w k 50 m d l fv fl w fmd h l. h g m, muvg m, g d g dh vlu w vgd wh h umb f fl h w dud. du yl b luld fllw: Wh q = bk du yl, m3; C = l, m2; d L = g lgh, m. C-l h f h gl hw Fgu 5 d b luld fm h fllwg qu: h huly du f h b fud fm h fllwg qu: [1] [2] bl I Rk ml f udd l D. m l m Rk y UCS M d g/m 3 IS, M I(50), M GLI 34 Mk Ml Oml Ml H Ml Ku Ml SKL 305 Clyy ml Ml bl II Rk ml f udd l D. m l m Rk y Whg SHV Sm vly, m/ N f d. J g, m Bd, m GL 34 Mk Ml Slghly bddg Oml Ml Fh bddg H Ml Slghly bddg Ku Ml Slghly bddg SKL 305 Clyy ml Fh < bddg Ml Slghly bddg h Jul f h Suh Af Iu f Mg d Mllugy VOLUME 107 REFEREED AER DECEMBER

4 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 820 A fuzzy lg bd bly lf ym Fgu 3 Exml f gul d zdl mmbh fu f h uxl mv gh (UCS) bl III h dd d mud d g m D l Rk Dz O Rg M. Rg Rg Rg m y y ffy, E % m, m, m dh, D m wdh, W m lgh, L m GLI 34 Mk Ml D155A ublk Oml Ml D8N H Ml D155A Ku Ml D155A SKL 305 Clyy D8N Kgl Ml 310 Ml D8N Fgu 4 Sym f Mmd FIS wh w ul [3] wh Q = huly bk du, m3/h; q = du yl, m3; C = yl m, m; d E = ffy f g. h luld d g du d h bly l f udd l dg d g u d bv gv bl IV d V. Id bly lf f udd l Fgu 5 Skh hwg g m h vg bly l f h udd l 820 DECEMBER 2007 VOLUME 107 REFEREED AER h Jul f h Suh Af Iu f Mg d Mllugy

5 SAIMM_D_61-77:ml Jul 12/11/07 9:03 AM g 821 A fuzzy lg bd bly lf ym bl IV h luld d g du vlu D l Rk y C-l du Huly R, C m 2 yl, q m 3 du, Q m 3 /h dh % 34 Mk Ml GLI Oml Ml ublk 18 H Ml Ku Ml SKL 305 Clyy ml Kgl 310 Ml bl V h luld d g du vlu d d bly l f udd l f CA D8 dz D. m l D g du m 3 /h Ad l GL 34 Mk 356 Dfful Oml 250 Vy dfful 18 H 1000 Ey Ku 855 Md SKL Vy y Dfful bl VI Ad bly l f k u bd d mhd D. l Rk Smvly Ghl Gdg Ad m y bd mhd mhd mhd l GL 34 Mk Ml Dfful Dfful Dfful Dfful Oml Ml Vy dfful Vy dfful Vy dfful Vy dfful 18 H Ml Dfful Md Md Md Ku Ml Dfful Md Md Md SKL SKL 305 Clyy ml Vy y Vy y Ey Vy y SKL 310 Ml Dfful Dfful Dfful Dfful dg h m gu f d bly lf mhd d bl VI. h d bly l f udd l w d by dg h ul f h m gu f d bly m mhd. Dm f fl bly l f h udy l h fl bly l f udd l w dmd by mbg h ul f d g u, bv d d bly m mhd d d bl VII. Dvlm f w l d bly lf ym By f h ll d bl V, VI d VII d gg judgm, l bly lf ym, whh l ud by fld l, w uggd. h bly g d lf h f vuly dvld l lf ym d bl VIII d IX. h l lf ym lud bh k d dz. h ludd k m uxl mv gh, m wv vly, duy g d Shmd hmm hd vlu. h k gdd ly d h bly l f k dmd dg h fl gd, umm f ll gd. h bd h fl gd, dz y d h du l d. h l lf ym bk lyd wh h ud. h m, h gd d h l f udd l d bl X d XI9, 28. h dl f h l lf ym gv lu9, 28. Rbly lf by h l hy I h udy, w fuzzy f ym (FIS) w h Jul f h Suh Af Iu f Mg d Mllugy VOLUME 107 REFEREED AER DECEMBER

6 SAIMM_D_61-77:ml Jul 12/11/07 9:06 AM g 822 A fuzzy lg bd bly lf ym bl VII Fl l d l f udd l f D8 dz D l Rk y Ad l Ad l Fl l d fm d ymfm d g u l 34 Mk Ml Dfful Dfful Dfful Oml Ml Vy dfful Vy dfful Vy dfful GLI 18 H Ml Md Ey Ey ublk Ku Ml Md Md Md SKL 305 Clyy ml Vy y Vy y Vy y Kgl 310 Ml Dfful Dfful Dfful bl VIII Rbly g h f vuly dvld l bly lf 9 m Cl Sm wv vly, m/ >2500 Gd >30 ld dx, M < >2 Uxl mv gh, M < >45 Gd Avg duy g, m < >2.5 Gd Shmd hmm hd < >50 Gd bl IX vuly dvld l bly lf ym 9 Cl Gd Sf D8 D9 D10 D11 gy Dz Dz Dz Dz du, Ad du, Ad du, Ad du, Ad m 3 /h l m 3 /h l m 3 /h l m 3 /h l <3.75 >1300 Vy y >1500 Vy y* >6000 Vy y* >10000 Vy y* Ey Ey Vy y* Vy y* Md Md Vy y* Vy y* Dfful Dfful Ey Vy y* >9.00 <250 Vy dfful# <285 Vy dfful# <600 Dfful <800 Ey Bl 0 Bl <150 Vy dfful# <250 Dfful * F h h ug D10 D11 y dz, v D8 y dz wll wk h wh hgh ffy. # I h h d u D8, D9 D10 y dz, h wll ul du h lw. bl X Gdg f udd l D l Rk y Sm vly, m/ UCS, M Avg d. g, m Shmd hmm hd Fl gd GLI- uçblk 34 Mk Ml Gd Oml Ml Gd H Ml Gd Ku Ml Gd Sv- Kgl 305 Clyy ml < Gd Ml Gd DECEMBER 2007 VOLUME 107 REFEREED AER h Jul f h Suh Af Iu f Mg d Mllugy

7 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 823 A fuzzy lg bd bly lf ym bl XI l gd, l d dz y f udd l l D g l D8 D9 D10 D11 du m 3 /h gd l l l l 34 Mk Dfful Dfful Ey Vy y Oml Vy dfful Vy dfful Dfful Ey 18 H Ey Ey Vy y Vy y Ku Md Md Vy y Vy y Vy y Vy y Vy y Vy y Dfful Dfful Ey Vy y Fgu 6 Iu d uu f ud fuzzy f ym ud f h m f h bly l f k d h dg huly du f dff dz y. h f ym hz h bly g gd d h l f k wh h d dm h huly du f dff y f dz. h u d h uu f bh ym gv Fgu 6. Cu f FIS f m f bly l (FIS I) h m lv m flg h bly w dmd : Sm -wv vl f k (SV), k gh (UCS), vg duy g (S) d Shmd hmm hd vlu (SHV) h vu udy9. A xld l h h fuzzy hy ud vm dqu d ugg bly lf ym, whh v h ldy dvld l bly lf ym9. hu, h ld u m h m h vuly dvld lf ym d hy bd h fld bv f g, du d lby ud9. h mmbh fu f h u m hw Fgu 7. Dgg h mmbh fu h m l g ug fuzzy f ym. S h bly l d h dg uml vlu f u m w d vuly dvld l lf ym, h udy h y l h umb d h y f mmbh fu h fuzzy ym. I f h lk f y vu udy, h b lv f dgg mmbh fu h uml dm u uu vbl fd umb f qud mmbh fu. F xml, h bgg, qully d zdl mmbh fu w h f h u vbl d qully d gul fu w h f h uu vbl24. Fv fuzzy w gd f h u m d, h, l 20 fuzzy w bd h ud ym (Fgu 7). h uu f h mdl h fl dx g, dg h bly l, wh mmbh fu gv Fgu 8. h fuzzy h VE (Vy y), E (Ey), M (Md), D (Dfful), VD (Vy dfful) d B (Bl) bly l h gv bl IX. O f h m f fuzzy ym h u f f-h ul. F h u f fh ul mly fld d d x w ulzd. F xml, SV, UCS, S d SHV, xd h g bm vy dfful d h g wll b hgh. F xml, m vly 2900 (VF), UCS 24.9 M (VS), vg duy g 2.0 m (B) d Shmd hmm hd 48 (VH) f h Oml l. Bd fld bv d d g du, kw h g vy dfful (VD) f h l. A xml f ul u h kwldg dm: If SV VF d UCS VS d S B d SHV VH h R VD A h ym h fu m d h m h fv ub-l, h umb f f-h ul 625. Hwv, du u f k m d bd x, m f hm w lmd, d h ld ul gv bl XII. h Jul f h Suh Af Iu f Mg d Mllugy VOLUME 107 REFEREED AER DECEMBER

8 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 824 A fuzzy lg bd bly lf ym Fgu 7 Iu mmbh fu Fgu 8 Ouu mmbh fu bl XII If-h ul f FIS I Rul Rul. 1 If SV F d UCS S d S B d SHV VH h RA D 2 If SV VF d UCS VS d S B d SHV VH h RA VD 3 If SV F d UCS VS d S B d SHV VH h RA VD 4 If SV VF d UCS VS d S B d SHV VH h RA VD 5 If SV F d UCS VS d S B d SHV VH h RA VD 6 If SV F d UCS M d S B d SHV S h RA E 7 If SV F d UCS S d S M d SHV H h RA M 8 If SV S d UCS VW d S S d SHV S h RA VE 9 If SV SF d UCS W d S B d SHV S h RA VE 10 If SV VF d UCS S d S M d SHV VH h RA D 11 If SV F d UCS S d S M d SHV VH h RA D 12 If SV VF d UCS S d S S d SHV VH h RA D 13 If SV F d UCS S d S S d SHV VH h RA D 14 If SV F d UCS M d S S d SHV M h RA M Cu f FIS f du (FIS II) h bly g d h bly l f k b bd fm FIS I. Hwv, md bv, h f g d h du f fm dd ly h k bu l h qum ud. hu lk bw h f g d h y f qum huld b blhd. S h huly du vlu f h udd l kw f CA D8 dz fm d g u dud h fld, h y d h huly du f h CA D8 y dz f h bly l. Hwv, h du d bly l f h y f dz (D9, D10 d D11) w vlbl. b h du f h dz y, uml mdllg gm lld 3DEC d lm d by IASCA29 w ulzd. h d g w mdlld 3- dml vm28. I h 3DEC mdl, mul h g mh, h mj blk gm w ud. k blk dz k whh h m bdy f h dz ud. I h mdl, h blk d fxd blk ll d. hy d h m gud blk, d h bw h gud d k blk udg mvm, bh m gud blk d k blk fxd ll d (Fgu 9). I h hk d g hd blk gm, h y blk hd fmly h hk bdy blk, whh m h hy mv gh dug h g. h hk blk d v h k blk h h hk d y gm mv fly hugh g dug h g. h y blk, f whh h g gud, d h g by mvg h g f h m gud blk. h m gud blk md f w dwll blk d bm blk, 824 DECEMBER 2007 VOLUME 107 REFEREED AER h Jul f h Suh Af Iu f Mg d Mllugy

9 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 825 A fuzzy lg bd bly lf ym Fgu 9 3DEC mdl - d vw Fgu 10 Numl mdlg f g by ug mll mvg blk whh m fxd dug h g. Rg blk, whh lvly mll md h blk h h, f mv, d hu b xvd h g y mv hugh hm. Smll g blk mv fly ll x, y d z d. h k f h dz h gh d lf d v h dwll blk. I umd h h h k m ll lg h g lgh f h 3DEC mdl. h y, whh mv h bw h w k h fld, ld bw h w k. h hk bdy wh y hd vd h bw h m dz bdy d h y. I h mdl xl blk bud d k hv fxd dlm budy d ll d, hy uffly wy fm h f f h g. h yl vlu f ml d ull f ld by CA D8N y dz k fm h mufu lgu. Ug gm w FISH gmmg lgug f 3DEC d h mvg blk, w bl lul vlum f dld d k. Af h l f g ld, blk ffd by h g mvd d hgd d h vlum w dd, d k u h g du m. h llu hw h g mhm bvd h uml mul f h g d Fgu 10. h Jul f h Suh Af Iu f Mg d Mllugy VOLUME 107 REFEREED AER DECEMBER

10 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 826 A fuzzy lg bd bly lf ym h du vlu bd fm uml mdllg f h CA D8 y dz d fm d g u w md (Fgu 11). A fm Fgu 11, mdllg ul hw gd gm wh h d g du f h CA D8 y dz. h by hgg h dz,.. dz wgh d flywhl w, d kg h k h mdl, h huly du f h dz y f h udd l w md. Hvg bly g, l d h xm du f dz f h udd l, h FIS (FIS II) w ud h bly l d huly du f dff y f dz. h mmbh fu f u m f FIS II hw Fgu 12. h uu fuzzy f FIS II b d v fm gv bl XIII. h ld f-h ul f h w ym d bl XIV. Al d vf f h d lf ym hw h l f h dvld mdl, h Ku l dd. Illy h uml vlu f h u vbl d wh h dg fuzzy h d f h ul. h h mmum f h ul ld d h qu fuzzy ud, dg h mmum f h d fuzzy. h uu fuzzy dvd f h ul. All f bl XIII Ouu fuzzy f FIS II F D8 dz Bl D8B {0/0, 1/100, 0/150} Vy dfful D8VD {0/100, 1/150, 0/325} Dfful D8D {0/150, 1/325, 0/600} Md D8M {0/325, 1/600, 1/1150, 0/1350} Ey D8E {0/1150, 1/1350,0/1400} Vy y D8VE {0/1350, 1/1400, 0/1450} F D9 dz Bl D9B {0/0, 1/105, 0/160} Vy dfful D9VD {0/105, 1/160, 0/365} Dfful D9D {0/160, 1/365, 0/680} Md D9M {0/365, 1/680, 1/1300, 0/1550} Ey D9E {0/1300, 1/1550, 0/1600} Vy y D9VE {0/1150, 1/1600, 0/1650} F D10 dz Vy dfful D10VD {0/0, 1/150, 0/600} Dfful D10D {0/150, 1/600, 0/1600} Ey D10E {0/600, 1/1600, 0/2800} Vy y D10VE* {0/1600, 1/2800, 1/5350, 0/6250} Vy y D10VE** {0/5350, 1/6250, 0/6500} Vy y D10VE*** {0/6250, 1/6500, 0/6750} F D11 dz Dfful D11D {0/0, 1/250, 0/800} Ey D11E {0/250, 1/800, 0/2500} Vy y D11VE {0/800, 1/2500, 0/4000} Vy y D11VE* {0/2500, 1/4000, 1/8900, 0/10400} Vy y D11VE** {0/8900, 1/10400, 0/10800} Vy y D11VE*** {0/10400, 1/10800, 0/11200} Fgu 11 3DEC mdl du ul vu d g du f h fld l Fgu 12 Iu d uu mmbh fu f FIS II 826 DECEMBER 2007 VOLUME 107 REFEREED AER h Jul f h Suh Af Iu f Mg d Mllugy

11 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 827 A fuzzy lg bd bly lf ym h qu fuzzy mbd gl fuzzy by m f fuzzy. Flly, by ug COA dfuzzf mhd h fuzzy uu ld gl uml vlu. h bd fl g fm FIS I f h Ku l 65.1; h bly l b vlud md dfful. A h fuzzy hy bl g wh uh u. A fm Fgu 13, h bly l f h l d md wh mmbh dg f bl XIV If-h ul f FIS II Rul Rul N 1 If RAING VE d DOZER D8 h RODUCION D8VE 2 If RAING E d DOZER D8 h RODUCION D8E 3 If RAING M d DOZER D8 h RODUCION D8M 4 If RAING D d DOZER D8 h RODUCION D8D 5 If RAING VD d DOZER D8 h RODUCION D8VD 6 If RAING B d DOZER D8 h RODUCION D8B 7 If RAING VE d DOZER D9 h RODUCION D9VE 8 If RAING E d DOZER D9 h RODUCION D9E 9 If RAING M d DOZER D9 h RODUCION D9M 10 If RAING D d DOZER D9 h RODUCION D9D 11 If RAING VD d DOZER D9 h RODUCION D9VD 12 If RAING B d DOZER D9 h RODUCION D9B 13 If RAING VE d DOZER D10 h RODUCION D10VE*** 14 If RAING E d DOZER D10 h RODUCION D10VE** 15 If RAING M d DOZER D10 h RODUCION D10VE* 16 If RAING D d DOZER D10 h RODUCION D10VE 17 If RAING VD d DOZER D10 h RODUCION D10D 18 If RAING B d DOZER D9 h RODUCION D10VD 19 If RAING VE d DOZER D11 h RODUCION D11VE*** 20 If RAING E d DOZER D11 h RODUCION D11VE** 21 If RAING M d DOZER D11 h RODUCION D11VE* 22 If RAING D d DOZER D11 h RODUCION D11VE 23 If RAING VD d DOZER D11 h RODUCION D11E 24 If RAING B d DOZER D11 h RODUCION D11D Wh gd f 65.1 d D8 y dz, h l lfd mdly bl d 810 m3/h du xd. Wh h m gd, du vlu 925, 3780 d 6210 m3/h d bly l Md, Vy y d Vy y f D9, D10 d D11 y dz vly. hu, h l vy ly b d by D10 dz, d xd huly du f h dz 3780 m3/h. h gd d l f udd l buld bl XV. I h vf f h dvld mdl, h udd l w dd. h dud fuzzy bd bly lf ym w ld m h bly l f h l. h bly g vlu d dg d f h l d bl XVI. Bd h vuly dvld l lf ym, h bly g vlu d h dg d f h l by dg h vg l vlu f h g h d h vlu uggd by h uh w l ludd h bl. h vuly dvld l lf ym9 d h fuzzy bd lf ym gv ml ul (Fgu 14). F xml, h fuzzy bd lf ym yldd h Ku l bly g 65.1, wh dg h vg vlu d uh ugg vdd h l 58.5 d 65 vly h vuly dvld l lf ym. Wh h vg g bd fm h l lf ym dd, 7% dv bvd bw h fuzzy bd ym d l ym. h ul f h fuzzy bd lf ym l md wh h ul f xg lf ym. A fm bl XVII, ll ym du ul, l h bl l wh Oml h hd bl l ll lf ym. Hwv, gd d bly l f l dff vy lf ym; gl hy vm h bly l f udd l. Fgu 13 Dm f bly l d mmbh dg f Ku l h Jul f h Suh Af Iu f Mg d Mllugy VOLUME 107 REFEREED AER DECEMBER

12 SAIMM_D_61-77:ml Jul 12/11/07 9:08 AM g 828 A fuzzy lg bd bly lf ym bl XV h gd, xd du d bly l f udd l f dff dz y l Gd D g D8 D9 D10 D11 du, m 3 /h d m 3 /h Cl d m 3 /h Cl d m 3 /h Cl d m 3 /h Cl 34 Mk D 364 D 1620 E 2370 VE* Oml VD 276 VD 987 E 1440 E 18 H E 1070 E 4240 VE* 7000 VE* Ku M 925 M 3780 VE** 6210 VE* VE 1500 VE 6310 VE*** VE** D 363 D 1620 E 2307 VE* bl XVI Cm f h ul f fuzzy bd d vuly dvld l bly lf ym D. Nm l Fuzzy bd ym l lf ymad l Gd Mmbh Cl Avg vlu Auh dg dd ugg GL 34 Mk Dfful Dfful Oml Vy Dfful Vy dfful 18 H Ey Ey Ku Md Md SKL Vy Ey Vy y Dfful Dfful bl XVII h bly l f udd l dg xg gdg bly lf ym l Wv Mufuglu Sgh Kuz Smh Gd Cl Gd Cl Gd Cl Gd Cl Gd 34 Mk 73 Exmly hd 110 Mgl 64 Dfful 72 Hd 47 g d blg whu blg Oml 75 Exmly hd 85 Vy dfful 74 Mgl 67 Hd 52 g d blg 18 H 65 Vy hd 70 Dfful 48 Md 52 Md 42 g Vy dfful Ku 68 Vy hd 95 Vy dfful 56 Dfful 67 Hd 47 g Exmly dfful Hd g 85 Vy dfful 44 Md 35 Md Exmly hd 80 Vy dfful 60 Dfful 58 Md 47 g d blg h dff bbly b ul f h fmd h gdg bud h dff f m gdg gdg ym. D g u du, h gd, bly l f udd l d h xd huly du f udd l f dff dz y dg h dvld fuzzy lg bd lf ym gv bl XVI. Fgu 14 Rl bw g bd fm fuzzy bd d vuly dvld l bly lf ym Clu d mmd Bd h vuly dvld l bly lf ym, d bly lf ym w dvld by ug fuzzy lg. By m f h dvld ym bl m h bly l d huly du f dff y f dz. 828 DECEMBER 2007 VOLUME 107 REFEREED AER h Jul f h Suh Af Iu f Mg d Mllugy

13 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 829 A fuzzy lg bd bly lf ym h fuzzy bd d l lf ym gv ml ul. Hwv, wh m h fuzzy lg bd ym wh h vuly dvld l ym, h fuzzy bd ym h vl dvg. I huld b d h, f h vuly dvld l bly lf ym, h l f h m my b fud b dff by m h g (.. vg d uh uggd vlu 58.5 d 65 f h Ku l). I m h h lwy bd vlu h vu lf. I b d h h bd gm f h g vlu my bg h g wg d. Fuzzy bd lf lm uh bd u. I h udd, h l d w hgd; hwv, m, h vlu dmd by dff wy my l ugg h dff l m. I h l ym h x f h bud bw w dj bly l u d h l g bud f k l my m blm. F xml, wh h vg vlu bd fm h l lf ym dd, h fl g f h SKL 305 l 20, whh h budy f Vy y d Ey bly l. A h gg judgm x qud df h bly l. Hwv, f h m l, h fuzzy bd ym gv h bly l f Vy y wh mmbh dg f hu, ludd h h fuzzy bd ym bl h g vm uh u fd h d-mkg. h vldy f h dvld lf ym w vfd by h m f h ul, bh wh h f bl f h udd l d h du f dff dz y. I w fud h h ul vy mbl wh h h. h dvld lf d h dz y d f ml y k. I b xdd w y f dz d dff y f k. Akwldgm h uh wh hk h ukh Cl E d Dm Ex A.Ş. f h bu. Rf 1. WEAVER, J.M. Glgl f gf h m f bly, Cvl Eg. Suh Af, vl. 17, BIENIAWSKI, Z.. Gmh lf f k m d l ulg. dg f h hd Il Cg Rk Mh, Il Sy f Rk Mh, Dv, vl. 11A, KIRSEN, H.A.D. Eff u u f mud, h Cvl Eg Suh Af, My u, MÜFÜOGLU, Y.V. A udy f f ffg dggbly Bh uf l m, h D h, Uvy f Nghm, Egld, SMIH, H.J. Emg bly f k m lf,. 27h US Sym. Rk Mh., Uvy f Albm, 1986, SINGH, R.N., DENBY, B., d EGRELI, I. Dvlm f w bly dx f l mu xv,. 28h US Sym. Rk Mh., u, 1987, KARUZ, C. A lf ym f xv f uf l mu. Mg S hlgy, vl. 11, GOKAN, R.M. d ESKIKAYA, S. d f g mh fm m f k m, Cvl Egg Suh Af vl. 31, BASARIR, H. d KARUZ, C. A bly lf ym f ml lg m. Egg Glgy, vl. 74, AYDIN, A. Fuzzy h lf f k m. Egg Glgy, vl. 74, ZADEH, L.A. Fuzzy, Ifm Cl, vl. 8, SABOYA, F., ALVES, M.G., d INO, W.D. Am f flu ubly f l l ug fuzzy lg, Egg Glgy, vl. 86, NGUYEN, V.U. Sm fuzzy l mg gmh, Il Jul f Rk Mh d Mg S, vl. 22, NGUYEN, V.U. d ASHWORH, E.A. Rk m lf by fuzzy, 26h US Symum Rk Mh, Rd Cy, USA, JIANG, Y.M., ARK, D.W., DEB, D., d SANFORD, R. Al f fuzzy hy h vlu f f g lgwll mg, Mg Egg, vl. 49, CEBESOY,. Suf mg qum l bd mul fuzzy dm lghm, dg f h 15h mg g f uky, [I ukh]. 17. BASCEIN, A. Oml qum l - m. hd h, Ibul hl Uvy, Ibul, 1999 [I ukh]. 18. GOKAY, M.K. Fuzzy lg ug k m lf. Jul f Chmb f Mg Egg uky, vl. 37, [I ukh]. 19. BARON, N., LIEN, R., d LUNDE, J. Egg lf f k m f h dg f ul u, Rk Mh, vl. 6, GOKCEOGLU, C. A fuzzy gul h d h uxl mv gh f h Ak gglm fm h gh m, Egg Glgy, vl. 66, SONMEZ, H., GOKCEOGLU, C., d ULUSAY, R. A l f fuzzy h Glgl Sgh Idx (GSI) ym ud k gg, Egg Al f Afl Illg, vl. 16, HOEK, E. d BROWN, E.. l m f k m gh Il Jul f Rk Mh d Mg S & Gmh Ab, vl. 34, IHAR, M. d GOKAN, R.M. A l f fuzzy h Dggbly Idx Rg Mhd f uf m qum l, Il Jul f Rk Mh & Mg S, vl. 43, ALVAREZ GRIMA, M. Fg k h fm ug fuzzy lg. Il Jul f Rk Mh & Mg S, vl. 36, MAMDANI, E.H. d ASSILIAN, S. A xm lgu yh wh fuzzy lg ll. I J M Mh Sud, vl. 7, GRIMA, M.A. Nu-fuzzy mdlg gg glgy. Rdm, A.A. Blkm, BROWN, E.. Rk hz g & mg, ISRM Suggd Mhd, gm, Nw Yk, BASARIR, H. Dvlm f w bly m mhd bd Sf gy d uml mdlg. h. D. h, Mddl E hl Uvy, Ak, ANON, 3DEC U Mul. I Culg Gu, I. Ml, M, USA, h Jul f h Suh Af Iu f Mg d Mllugy VOLUME 107 REFEREED AER DECEMBER

14 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 830 A fuzzy lg bd bly lf ym Adx: Fuzzy hy Fuzzy hy flxbl l d m d b ld by h u f fuzzy. h m m dvg h ulk h mdllg hqu, h f x b ulzd fuzzy hy. h ky lm f fuzzy hy fllw: Fuzzy mmbh fu I fuzzy hy, fuzzy d by mmbh fu. I, mmbh fu ld bly. h y f mmbh fu h bd h mdllg u. S f, h glzd f h l f mmbh fu. Sld mmbh fu f mm bw h vlbl d, x kwldg d h x24. Bu, h huld b d h f uff d v d x, bl mly m mhml lghm uh ubv lug, fuzzy lug x mmbh fu. h m mm y f mmbh fu zdl d gul mmbh fu23 (Fgu 3). F zdl mmbh fu: wh, b,, d h d f h zdl x. If b= h gul mmbh fu bd. O fuzzy My fuzzy d fuzzy l hv b dfd lu. Amg hm, u d mlm h m mm. I f fuzzy : Cd A d B fuzzy X. h f h fuzzy fuzzy C, dd C=A B, uh h h x X. h d h mmum. h mmum l dd by, U f fuzzy : h u f A d B fuzzy fuzzy C, dd C=A B, uh h h x X. h d h mxmum. h mxmum l dd by V, Cmlm f fuzzy : Cd A fuzzy X. h mlm f h fuzzy fuzzy dd A, uh h f h x X. Fuzzy f ym h fuzzy f ym mug fmwk bd h f fuzzy hy, fuzzy f-h ul d [1] [2] [3] [4] [5] [6] fuzzy g23. h Mmd, h gk-sug-kg, h ukm d h gl fuzzy mdl h m mmly mlyd fuzzy f ym (FIS). h fv l g h u f fuzzy mdl: (1) l f u d uu; (2) fmul f lh bw u d uu (kwldg ); (3) df f h y d h h f h fuzzy ; (4) ug f mul f h mdl; d (5) vf d f h uu24. I h udy, h Mmd fuzzy f ym w ld dvl bly lf ym d ly h ym wh md wh h h10, 20, 21, 23, 24. Mmd fuzzy f lghm h Mmd FIS w d by Mmd25 l m g d bl mb by f lgu ul bd fm hum. S h h wdly b ud my gg l. I Mmd FIS, h lgu mdl h b dud h fm f f-h ul: Wh k h umb f ul, h u (d) vbl h uu (qu) vbl A d B h d d qu lgu m. Eh ul b gdd fuzzy l, h l b mud by ug fuzzy ju. I h ju mhd h l R mud by mmum ( ): h fuzzy l R g h mdl gv by h dju (u) f h k dvdul ul l R : h h ul b dd h fuzzy l R d h uu f h lgu mdl b mud by h ll mx-m m (): [7] [8] Sym f h fuzzy g mhm wh w ul gv Fgu 4. Fuzzf : l f uml u vbl lgu m wh h dg mmbh gd. Dg f fulflm : mb f h mmbh gd f dff vlu by m f mmum. If : mdf f h uu fuzzy f h ul ug h dg f fulflm f h m ul. I h h f-h ml f h mdl d d mlmd by ug h mmum d by Mmd. Aggg : mb f h dff qu fuzzy gl fuzzy by ug h mxmum. Dfuzzf : dfuzzf f h uu f mdl by m f dfuzzf mhd. h m m f h Mmd f lghm gv by Alvz Gm26 w blw: 830 DECEMBER 2007 VOLUME 107 REFEREED AER h Jul f h Suh Af Iu f Mg d Mllugy

15 SAIMM_D_61-77:ml Jul 12/6/07 8:07 AM g 831 A fuzzy lg bd bly lf ym. Cmu h dg f fulflm by:. Dv h uu fuzzy :. Aggg h uu fuzzy by kg h mxmum: dfuzzf mhd. b vlu h uu fuzzy mu b dfuzzfd. h my dfuzzf mhd lu uh f gvy, f wgh, m f mxmum, mll f mxmum,. I h udy h f gvy mhd w fd du mm u d mu mly. h mhd mu h y d f h f gvy f h ud h fuzzy B. [9] Dfuzzf h l f h fuzzy f ym h l f wh: N h umb f lm yj Y. h Jul f h Suh Af Iu f Mg d Mllugy VOLUME 107 REFEREED AER DECEMBER