Cay Dinh Danh

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    Contents

    Tng quan v khoa hc tr tu nhn to1

    Cc phng php gii quyt vn c bn2

    Tri thc v cc phng php biu din tri thc3

    My hc4

    Mng Nron5

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    Chng 4

    MY HC

    4.1

    4.2

    TH NO L MY HC

    HC BNG CCH XY DNG CY NH DANH

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    4.1 TH NO L MY HC

    Thutng"hc" l tip thu tri thc.

    Qu trnh hcdin ra dinhiu hnh thcnh:

    hcthuc lng (hcvt),

    hc theo kinh nghim(hcda theo trnghp),

    hc theo kiu nghe nhn,...

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    4.1 TH NO L MY HC

    Kho st phng php hcda theo trnghp.

    h thngc cung cpmtscc trnghp"mu",

    da trn tp mu h thng s tin hnh phn

    tch v rt ra cc quy lut.

    Sau ,hthngda trn cc lut ny "nhgi" cc trnghp khc.

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    4.1 TH NO L MY HC

    C th khi qut qu trnh hc theo trnghp di dng hnh thc nh sau:

    f : P R

    p | r

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    4.1 TH NO L MY HC

    Tuy nhin, tp P nh (hu hn) so vi tp tt ccc trng hp cn quan tm P (P P).

    Mc tiu l xy dng nh x f sao cho c thng mi trng hp p trong tp P vi mt "lp"r trong tp R.

    Hn na, f phi bo ton f, ngha l :

    Vi mi p P th f(p) f (p)

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    4.1 TH NO L MY HC

    Hc theo trng hp l tm cch xy dng nh x fda theo nh x f. f c gi l tp mu.

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    4.2.1

    4.2.2

    4.2.3

    4.2.4

    m chiPhng n chn thuc tnh phn hochPht sinh tp lut

    Ti u tp lut

    4.2 HC BNG CCH XY DNG CY NH DANH

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Xt mt v d: Cn xy dng cc quy lutktlunmtnginhthno khi

    itmbin th b chy nng.

    Ta gi tnh cht chy nng hay khng chy nng l thuc tnhquan tm (thuc tnh mc tiu).

    Trong trnghp ny,

    tp Rgm c hai phnt{"chy nng", "bnh thng"}.

    tp P l ttcnhngngiclit k trong bng (8 ngi)

    Hintng chy nngda trn 4 thuc tnh sau:

    chiu cao (cao, trung bnh, thp),

    mu tc (vng, nu, ) cn nng(nh, TB, nng),

    dng kem (c, khng).

    Ta gi cc thuc tnh ny l thuc tnh dnxut.

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Tn Tc Ch.Cao Cn Nng Dng kem Kt quSarah Vng T.Bnh Nh Khng Chy

    Dana Vng Cao T.Bnh C Khng

    Alex Nu Thp T.Bnh C KhngAnnie Vng Thp T.Bnh Khng Chy

    Emilie T.Bnh Nng Khng Chy

    Peter Nu Cao Nng Khng Khng

    John Nu T.Bnh Nng Khng Khng

    Kartie Vng Thp Nh C Khng

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    4.2 HC BNG CCH XY DNG CY NH DANH

    tngPhn hoch tp P thnh cc tp Pi sao cho tt c

    cc phn t trong cc tp Piu c chung thuctnh mc tiu.

    P = P1 P2 ... Pn v (i,j) ij: th (Pi Pj = )

    v

    i, k,l: pk Pi v pl Pj th f(pk) = f(pl)

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Cc phn hoch Pic c trng bi thuc tnhch ri (ri R),

    ng vi mi phn hoch Pita xy dng lut Li:GTi ritrong cc GTil mnh c hnhthnh bng cch kt hp cc thuc tnh dnxut.

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    4.2 HC BNG CCH XY DNG CY NH DANH

    C hai cch phn hochhin nhin: Cch u tin l cho mi ngi vo mt phn

    hoch ring (P1 = {Sarah}, P2 = {Dana}, tngcngs c 8 phn hoch cho 8 ngi).

    Cch th hai l phn hoch thnh hai tp, mttp gm tt c nhng ngi chy nng v tp

    cn ligmttcnhngngi khng chy nng.

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Phng php khc. quan st thuc tnh mutc. c 3 phn hoch:

    Pvng = { Sarah, Dana, Annie, Kartie }

    Pnu = { Alex, Peter, John }

    P = { Emmile }

    4.2.1. m chi

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Dng s cy m t phn hoch:

    4.2.1. m chi

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Nhn xt:

    Tp Pnu cha ton ngi khng chy nng,

    Tp P cha ton ngi chy nng,

    Tp Pvng cha ln ln ngi chy nng v khngchy nng.

    Tip tc phn hoch tp Pvng thnh 3 tp con:

    PVng, Thp = {Annie, Kartie}, PVng, T.Bnh= {Sarah} v

    PVng,Cao= { Dana }

    4.2.1. m chi

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    4.2 HC BNG CCH XY DNG CY NH DANH

    4.2.1. m chi

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Qu trnh ny c th tip tc cho n khi tt ccc nt l ca cy khng cn ln ln gia chynng v khng chy nng.

    qu trnh ny c gi l qu trnh "m chi".Cy m chng ta ang xy dng c gi l cynh danh.

    Nu ban u ta khng chn thuc tnh mu tc phn hoch m chn thuc tnh khc nhchiu cao chng hn phn hoch th sao?Cui cng th cch phn hoch no s tt hn?

    4.2.1. m chi

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    4.2.1

    4.2.2

    4.2.3

    4.2.4

    m chiPhng n chn thuc tnh phn hochPht sinh tp lut

    Ti u tp lut

    4.2 HC BNG CCH XY DNG CY NH DANH

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    4.2 HC BNG CCH XY DNG CY NH DANH

    "ng trc mt ng r, ta cn phi i vohng no?".

    Hai phng php nh gi diys gip tachnc thuc tnh phn hoch timibc

    xy dng cy nh danh.

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    a.Quinlan

    Quinlan quyt nh thuc tnh phn hoch bngcch xy dng cc vector c trng cho mi gi

    tr ca tng thuc tnh dn xut v thuc tnhmc tiu. c th nh sau:

    Vi mi thuc tnh dn xut A cn c th s dng phn hoch, tnh:

    VA(j) = ( T(j , r1), T(j , r2) , , T(j , rn))

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    T(j, ri) = (tng s phn t trong phn hoch cgi tr thuc tnh dn xut A l j v c gi trthuc tnh mc tiu l ri) / (tng s phn ttrong phn hoch c gi tr thuc tnh dn xutA l j)

    Trong r1, r2, , rnl cc gi tr ca thuctnh mc tiu

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    mt thuc tnh A c th nhn mt trong 5 gi trkhc nhau th n s c 5 vector c trng.

    Mt vector V(Aj) c gi l vector n v nu

    n ch c duy nht mt thnh phn c gi tr 1v nhng thnh phn khc c gi tr 0.

    Thuc tnh c chn phn hoch l thuc

    tnh c nhiu vector n v nht.

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Thuc tnh mu tc c 3 gi tr khc nhau (vng, , nu)nn s c 3 vector c trng tng ng l: VTc(vng)= (T(vng, chy nng), T(vng, khng chy nng))

    S ngi tc vng l: 4

    S ngi tc vng v chy nng l: 2

    S ngi tc vng v khng chy nng l: 2

    Do : VTc(vng) = (2/4 , 2/4) = (0.5, 0.5)

    Tng t

    VTc(nu)= (0/3, 3/3) = (0,1) (vector n v)

    S ngi tc nu l: 3 S ngi tc nu v chy nng l: 0

    S ngi tc nu v khng chy nng l: 3

    VTc()= (1/1, 0/1) = (1,0) (vector n v)

    Tng s vector n v ca thuc tnh tc vng l 2

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Cc thuc tnh khc c tnh tng t, kt qu nh sau: VC.Cao(Cao) = (0/2,2/2) = (0,1)

    VC.Cao(T.B) = (2/3,1/3)

    VC.Cao(Thp) = (1/3,2/3)

    VC.Nng (Nh) = (1/2,1/2)

    VC.Nng (T.B) = (1/3,2/3)

    VC.Nng (Nng) = (1/3,2/3)

    VKem (C) = (3/3,0/3) = (1,0) VKem (Khng) = (3/5,2/5)

    thuc tnh mu tc c s vector n v nhiu nht nnc chn phn hoch.

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    tiptc phn hochtp Pvng.

    tnh vector ctrngivi cc thuc tnh cnli(chiu cao, cn nng, dng kem). tpdliu

    cn li l:

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    4.2.2. Phng n chn thuc tnh phn hoch

    Tn Ch.Cao Cn Nng Dng kem Kt qu

    Sarah T.Bnh Nh Khng Chy

    Dana Cao T.Bnh C Khng

    Annie Thp T.Bnh Khng Chy

    Kartie

    Thp

    Nh

    C

    Khng

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    4.2 HC BNG CCH XY DNG CY NH DANH

    VC.Cao(Cao) = (0/1,1/1) = (0,1)

    VC.Cao(T.B) = (1/1,0/1) = (1,0)

    VC.Cao(Thp) = (1/2,1/2)

    VC.Nng (Nh) = (1/2,1/2)

    VC.Nng (T.B) = (1/2,1/2)

    VC.Nng (Nng) = (0,0)

    VKem (C) = (0/2,2/2) = (0,1)

    VKem (Khng) = (2/2,0/2) = (1,0)

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    2 thuc tnh dng kem v chiu cao u c 2vector nv.

    Tuy nhin, sphn hochca thuc tnh dng

    kem l t hn nn chn phn hoch theo thuctnh dng kem.

    Cy nh danh cui cng nhsau:

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    4.2.2. Phng n chn thuc tnh phn hoch

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    4.2 HC BNG CCH XY DNG CY NH DANH

    b. o hn lonng vi mi thuc tnh dn xut ta cn tnh

    o hn lon v la chn thuc tnh no c ohn loi thp nht. Cng thc tnh nh sau:

    4.2.2. Phng n chn thuc tnh phn hoch

    TA =

    trong :

    bt: tng s phn t c trong phn hochbj: tng s phn t c thuc tnh dn xut A c gi tr j.

    bri: tng s phn t c thuc tnh dn xut A c gi tr j vthuc tnh mc tiu c gi tr i.

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    4.2.1

    4.2.2

    4.2.3

    4.2.4

    m chiPhng n chn thuc tnh phn hochPht sinh tp lut

    Ti u tp lut

    4.2 HC BNG CCH XY DNG CY NH DANH

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Nguyn tc pht sinh tp lut:ng vi mi nt l, i t nh cho n nt l

    v pht sinh ra lut tng ng.

    C th l t cy nh danh kt qu trn ta ccc lut sau (xt cc nt l t tri sang phi)

    (Mu tc vng) v (c dng kem) khng chy nng

    (Mu tc vng) v (khng dng kem) chy nng (Mu tc nu) khng chy nng

    (Mu tc ) chy nng

    4.2.3. Pht sinh tp lut

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    4.2.1

    4.2.2

    4.2.3

    4.2.4

    m chiPhng n chn thuc tnh phn hochPht sinh tp lut

    Ti u tp lut

    4.2 HC BNG CCH XY DNG CY NH DANH

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    4.2 HC BNG CCH XY DNG CY NH DANH

    a.Loi b mnh thaphng php loi b mnh tha da vo d

    liu.Vi v d v tp lut c phn trc, hy

    quan st lut sau: (Mu tc vng) v (c dng kem) khng chy nng

    4.2.4. Ti u tp lut

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    4.2 HC BNG CCH XY DNG CY NH DANH

    lpbng Contigency, thng k nhngngi cdng kem tng ng vi tc mu vng v bchy nng hay khng. Trong dliu cho, c3 ngi khng dng kem.

    4.2.4. Ti u tp lut

    Khng chy nng Chy nng

    Mu vng 2 0

    Mu khc 1 0

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Theo bng thng k: thuc tnh tc vng khng kt lunchy nng hay khng (c 3 ngi dng kem u khngchy nng) nn loi b thuc tnh tc vng ra khi tplut.

    Sau khi loi b mnh tha, tp mnh trong v dtrn s cn:

    (c dng kem) khng chy nng

    (Mu tc vng) v (khng dng kem) chy nng

    (Mu tc nu) khng chy nng

    (Mu tc ) chy nng

    4.2.4. Ti u tp lut

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    4.2 HC BNG CCH XY DNG CY NH DANH

    gi s lut ca chng ta c n mnh :

    A1 v A2v v An R

    kim tra xem c th loi b mnh Ai hay

    khng, hy lp ra mt tp hp P bao gm ccphn t tha tt c mnh A1 , A2, Ai, Ai+1,, An(lu : khng cn xt l c tha Ai haykhng, ch cn tha cc mnh cn li lc)

    4.2.4. Ti u tp lut

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Sau ,bn hy lpbng Contigency nhsau:

    4.2.4. Ti u tp lut

    R R

    Ai E F

    Ai G H

    Trong :

    E l s phn t trong P tha c Ai v R.

    F l s phn t trong P tha Aiv khng tha RG l s phn t trong P khng tha Aiv tha R

    H l s phn t trong P khng tha Aiv khng tha R

    Nu tng F+H = 0 th c th loi b mnh Aira khi lut.

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    4.2 HC BNG CCH XY DNG CY NH DANH

    b.Xy dng mnh mc nhmt vn t ra l:

    khi gp phi mt trng hp m tt c cc lut

    u khng tha th phi lm nh th no? Mtcch hnh ng l t ra mt lut mc nh iloi nh:

    Nu khng c lut no tha chy nng (1)Hoc

    Nu khng c lut no tha khng chy nng.(2)

    4.2.4. Ti u tp lut

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Gi s ta chn lut mc nh l (2) th tp lutca chng ta s tr thnh:

    (Mu tc vng) v (khng dng kem) chy nng

    (Mu tc ) chy nng Nu khng c lut no tha khng chy nng. (2)

    4.2.4. Ti u tp lut

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    4.2 HC BNG CCH XY DNG CY NH DANH

    Mt s quy tc khi chn lut mc nh:

    (1) Chn lut mc nh sao cho n c th thay th chonhiu lut nht.

    (2) Chn lut mc nh c kt lun ph bin nht. (3) Chn lut mc nh sao cho tng s mnh ca

    cc lut m n thay th l nhiu nht.

    4.2.4. Ti u tp lut

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    Tng kt chng 4

    Text1

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    Text5Text6

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    Bi tp

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    A B

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    D

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    C

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    TRNG CAO NG CNTT HU NGH ViT - HN

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    TRNG CAO NG CNTT HU NGH ViT HN

    KHOA KHOA HC MY TNH-----------***-----------