adaptive neuro-fuzzy inference - it

8/6/2019 Adaptive Neuro-fuzzy Inference - IT

1/12

vvv.x{cnld}tvc{omt.kocftxc}.dcj

vvv.x{cnld}tvc{omt.kocftxc}.dcj x{crgmlt ioo x{cnld}t bc{ Ioo T}|ml`}t

IMIX]GRL @L\[C*B\^^W G@BL[L@DLIMIX]GRL @L\[C*B\^^W G@BL[L@DL

KITLM ERMD DC@][COKITLM ERMD DC@][CO

Ikt}{id}>]egt xixl{ x{ltl`}t

dcjx|}i}gc`ioow tgjxol

i`m idd|{i}l luxl{} twt}lj

bc{ Dc`}{co cb ERMD

twt}lj. Imix}grl @l|{c*

B|~~w G`bl{l`dl Twt}lj

%I@BGT' gt ixxoglm i`m

mgtd|ttlm g` ml}igo. I@BGT

kitlm d|{{l`} dc`}{co gt

iotc mlrlocxlm bc{ i

ERMD

twt}lj. ]el x{cdlm|{l gt

c|}og`lm g` }el xixl{.

I@BGT kitlm dc`}{co di`

kl litgow dcjkg`lm vg}e

}el bi|o} gml`}gl{ }c bc{j

g`}lf{i}lm twt}lj/ vegde

di` gjx{crl mw`ijgd

{ltxc`tl cb ERMD

twt}ljt.

.G`}{cm|d}gc`> G` {ldl`} wli{t

Xolitl tl`m wc|{ bllmkida }c x{cnld}tvc{omHogrl.dcj i`m tl`m jc{lx{cnld}t }c |t i`m vl |xocim g} }c vvv.x{cnld}tvc{omt.kocftxc}.dcji`m wc|di` tei{l }el x{cnld}t i`m elox c}el{ }c xi{}gdgxi}l.
http://www.projectsworlds.blogspot.com/http://www.projectsworlds.blogspot.com/mailto:[email protected]://www.projectsworlds.blogspot.com/mailto:[email protected]://www.projectsworlds.blogspot.com/http://www.projectsworlds.blogspot.com/http://www.projectsworlds.blogspot.com/


2/12



i{}gdgio g`}loogfl`dl kitlm c` @l|{io`l}vc{a/ B|~~w twt}lj/ Imix}grl

`l|{c*b|~~w g`bl{l`dl twt}lj %I@BGT'/fl`l}gd iofc{g}ej/ l}d. eirl jl}

f{cvg`f g }l{lt} g` ji`w g`m|t}{gio

ixxogdi}gc`t. ]el xit} }vc mldimlt

eirl {lrliolm f{li} imri`dlt g` }elixxogdi}gc` cb i{}gdgio g`}loogfl`dl }c

xcvl{ twt}ljt. I }{l`m }ei} gt f{cvg`fg` rgtgkgog}w {loi}lt }c }el |tl cb b|~~w

ocfgd g` dcjkgì}gc` vg}e `l|{c*

dcjx|}g`f i`m fl`l}gd iofc{g}ejt.

Jc{l fl`l{ioow/ b|~~w ocfgd/ `l|{c*dcjx|}g`f/ i`m fl`l}gd iofc{g}ejt jiw

kl rglvlm it }el x{g`dgxio dc`t}g}|l`}tcb vei} jgfe} kl dioolm tcb} dcjx|}g`f.

\ògal }el }{img}gcìo ei{m dcjx|}g`f/

tcb} dcjx|}g`f gt igjlm i} i`

iddcjjcmi}gc` vg}e }el xl{ritgrl

gjx{ldgtgc` cb }el {lio vc{om. @|jkl{

cb xixl{t i{l irigoikol }ei} mlio vg}e}el ixxogdi}gc` cb i{}gdgio g`}loogfl`dl

g` }el i{li cb xcvl{ twt}ljt.

Jcml{`dc`}{cot kitlm c` I{}gdgio @l|{io

@l}vc{a/ B|~~w twt}lj i`m Fl`l}gdiofc{g}ej i{l bc|`m bit}/ {logikol/ di`

kl |tlm bc{ x{c}ld}gc` ifig`t} }el og`l

i`m dc`rl{}l{ bi|o}t i`m i{l fig g`f

jc{l g`}l{lt} g` }el lom cb ERMD

}{i`tjgttgc`.

ERMDtwt}ljt }{img}gcìoow |tl XG dc`}{cool{t

vg}e ulm fig`t. Io}ec|fe t|de

dc`}{cool{t eirl dl{}ig` mgtimri`}iflt/

}elw i{l {|fflm i`m cxl{i}l

ti}gtbid}c{gow bc{ xl{}|{ki}gc`t vg}eg` i

tjioo cxl{i}g`f {i`fl. C` }el c}el{ei`m/ I@@ dc`}{cool{t eirl tcjl

txldgd imri`}iflt vel{lkw }el |tl cb

I@@ dc`}{cool{ eit kll` tecv` }cg`}{cm|dl lugkgog}w i`m bi|o} }col{i`dl

g`}c }el xl{bc{ji`dl cb }el dc`}{cool{t.I@@ eit i}}{id}lm i f{li} mlio cb

i}}l`}gc` kldi|tl cb }elg{ xi}}l{

{ldcf`g}gc` dixikgog}glt i`m }elg{ ikgog}w

}c ei`mol `cgtw mi}i. Ecvlrl{/ g}tikgog}w }c xl{bc{j vloo gt f{li}ow

g`|l`dlm kw }el vlgfe} imix}i}gcìotc.

]el `l|{io `l}vc{a i{deg}ld}|{l t|l{tb{cj i oi{fl `|jkl{ cb }{ig`g`f dwdolt

i`m dcjx|}i}gcìo k|{ml`. @l|{io`l}vc{a eit }el tec{}dcjg`f cbgjxogdg} a`cvolmfl {lx{ltl`}i}gc`/

vel{lit b|~~w ocfgd twt}ljt i{lt|knld}grl i`m el|{gt}gd.

B|~~w g`bl{l`dl twt}ljt i`m `l|{io`l}vc{at i{l dcjxoljl`}i{w

}lde`cocfglt g` }el mltgf` cb imix}grlg`}loogfl`dl twt}lj. I{}gdgio @l|{io

@l}vc{a %I@@' oli{`t b{cj td{i}de kw

imn|t}g`f }el g`}l{dc``ld}gc`t kl}vll`

oiwl{t. B|~~w G`bl{l`dl Twt}lj %BGT' gt

i xcx|oi{ dcjx|}g`f b{ijlvc{a kitlm

c` }el dc`dlx} cb b|~~w tl} }elc{w/b|~~w gb*}el` {|olt/ i`m b|~~w

{litc g`f. \ògal kc}e imix}grl i`mri{gikol t}{|d}|{l dc`}{cool{t/ vegde

{ly|g{l/ i} olit} b|`d}gcìoow/ i`

idd|{i}l jcmlo cb }el twt}lj mwìjgdt/

}el b|~~w dc`}{cool{ mclt `c} {ly|g{l iji}elji}gdio jcmlo cb }el twt}lj }c

lt}gji}l }el dc`}{co g`x|} |`ml{mgt}|{ki`dl dc`mg}gc`t.

I `l|{c*b|~~w

twt}lj gt tgjxow i b|~~w g`bl{l`dltwt}lj }{ig`lm kw i `l|{io `l}vc{a*

oli{ g`f iofc{g}ej. ]el oli{ g fjldei`gtj `l*}|`lt }el |`ml{owg f



3/12



b|~~w g`bl{l`dl twt}lj.B|~~w twt}lj bidlt

mgffld|o}glt ogal i oida cb dcjxol}l`lttcb }el {|ol kitl i`m i oida cb ml`g}ld{g}l{gi bc{ tlold}gc` cb }el teixl cb

jljkl{tegx b|`d}gc`t/ }elg{ mlf{ll cbcrl{oixxg`f/ i`m }el olrlot cb mi}i

y|i`}g~i}gc`. Tcjl cb }eltl x{ckoljtdi` kl tcorlm gb }el `l|{io }lde`gy|l gt

|tlm bc{ b|~~w {litc`g`f.

]el g`}lf{i}lm `l|{c*b|~~w twt}lj

dcjkg`lt imri`}iflt cb kc}e I@@

i`m BGT.

Ixxogdi}gc` cb kc}e }lde`cocfglt i{l

di}lfc{g~lm g`}c bcoocvg`f bc|{ ditlt>

9. @@t |tlm }c i|}cji}l }el }ita cb

mltgf`g`f i`m `l }|`g`f }el

jljkl{tegx b|`d}gc`t cb b|~~w

twt}ljt.

;. Kc}e b|~~w g`bl{l`dl i`m `l|{io

`l}vc{a oli{`g`f dixikgog}glt id}g`ftlxi{i}low.

4. @@t vc{a it dc{{ld}g`f

jldei`gtjt bc{ b|~~w twt}ljt.

=. @@t d|t}cjg~lt }el t}i`mi{m

twt}lj iddc{mg`f }c lide |tl{t

x{lbl{l`dlt i`m g`mgrgm|io `llmt.

]el ERMD twt}lj }{img}gcìoow |tlt

XG dc`}{cool{t }c dc`}{co }el MD

d|{{l`} }el{lkw allxg`f }el xcvl{

%d|{{l`}' c{ml{ i} }el {ly|g{lm olrlo.

Io}ec|fe }eltl dc`}{cool{t

|`mc|k}lmow i{l {ck|t} i`m i{l

cxl{i}g`f ti}gtbid}c{ow bc{ ji`w wli{t/}elw i{l x{c`l }c dei`flt g` twt}lj

xi{ijl}l{t/ mloiwt c{ c}el{ `c`*

og`li{g}glt g` }el twt}lj i`m t|l{b{cj tcjl ogjg}i}gc`t. ]egt xixl{

mltd{gklt x{c}ld}gc` cb i ERMD

dc`rl{}l{ |tg`f I@BGT kitlm bi|o}

gml`}gl{ %I@BOKG'. I b|~~w ocfgd

kitlm d|{{l`} dc`}{cool{ %I@BOKD'

bc{ }el bit} i`m lugkol dc`}{co cb iÈRMD }{i`tjgttgc` ogà gt iotc

mltgf`lm. \ògal c}el{ dc`}{cool{t/

I@BGT dc`}{cool{ mclt `c} {ly|g{l i

ji}elji}gdio jcmlo cb }el twt}lj }c

lt}gji}l dc`}{co g`x|} |`ml{

mgt}|{ki`dl dc`mg}gc`t.I@BOKD di`

kl litgow dcjkg`lm vg}e I@BOKG }c

bc{j g`}lf{i}lm twt}lj. Xcvl{ twt}lj

{logikgog}w gjx{crlt vel` ERMDdc`rl{}l{ bi|o}t i{l ml}ld}lm i`m

logjgì}lm klbc{l }elw ml}l{gc{i}l }c i

tlrl{l t}i}l.

ERMD twt}lj jcmlo>



4/12



Bgf|{l 9> ERMD twt}lj * tdelji}gd mgif{ij.

]el ERMD twt}lj |tlm el{l it i }lt}

twt}lj gt i 9;*x|otl/ 9888 JV %


5/12



}{ig` b|~~w twt}ljt. I mgijl}{gdioow

cxxctg}l tg}|i}gc` di` kl cktl{rlm g`

}el lom cb `l|{io `l}vc{at. \tl{ di`}{ig` `l|{io `l}vc{at/ k|} g} gt

lu}{ljlow mgffld|o} }c |tl i x{gc{ga`cvolmfl ikc|} }el dc`tgml{lm

twt}lj i`m g} gt iojct} gjxcttgkol }c

luxoig` }el kleirgc|{ cb }el `l|{io

twt}lj g` i xi{}gd|oi{ tg}|i}gc`.

G` c{ml{ }c

dcjxl`ti}l }el mgtimri`}iflt cb c`l

twt}lj vg}e }el imri`}iflt cb i`c}el{

twt}lj/ tlrl{io {ltli{del{t }{glm }c

dcjkg`l b|~~w twt}ljt vg}e `l|{io

`l}vc{at. I ewk{gm twt}lj ìjlm

I@BGT %Imix}grl*@l}vc{a Kitlm

B|~~w G`bl{l`dl Twt}lj c{ Imix}grl

@l|{c*B|~~w G`bl{l`dl Twt}lj ' eit

kll` x{cxctlm .

I@BGT gt }el b|~~w*ocfgd kitlm

xi{imgfj }ei} f{itxt }el oli{`g`f

ikgog}glt cb I@@ }c lèi`dl }el

g`}loogfl`} twt}ljt xl{bc{ji`dl

|tg`f i x{gc{g a`cvolmfl.\tg`f i fgrl` g`x|}#c|}x|} mi}i tl}/

I@BGT dc`t}{|d}t i b|~~w g`bl{l`dl

twt}lj %BGT' vectl jljkl{tegx

b|`d}gc` xi{ijl}l{t i{l }|`lm

%imn|t}lm' |tg`f lg}el{ i

kidax{cxifi}gc` iofc{g}ej ioc`l/ c{

g` dcjkgì}gc` vg}e i olit} ty|i{lt

}wxl cb jl}ecm. ]egt ioocvt wc|{

b|~~w twt}ljt }c oli{` b{cj }el mi}i

}elw i{l jcmlog`f.

]eltl }lde`gy|lt x{crgml i jl}ecm

bc{ }el b|~~w jcmlog`f x{cdlm|{l }c

oli{` g`bc{ji}gc` ikc|} i mi}i tl}/ g`

c{ml{ }c dcjx|}l }el jljkl{tegx

b|`d}gc` xi{ijl}l{t }ei} klt} ioocv

}el ittcdgi}lm b|~~w g`bl{l`dl twt}lj

}c }{ida }el fgrl` g`x|}#c|}x|} mi}i.

]egt oli{`g`f jl}ecm vc{at tgjgoi{ow

}c }ei} cb `l|{io `l}vc{at.

.

6



6/12



bgf|{l ;> I@BGT t}{|d}|{l

Bgf. ; tecvt }el kitgd t}{|d}|{l cb }el

I@BGT iofc{g}ej bc{ i {t} c{ml{T|fl`c*t}wol b|~~w twt}lj. G} gt vc{}e

`c}g`f }ei} }el Oiwl{*9 dc`tgt}t cb

jljkl{tegx b|`d}gc`t mltd{gklm kw}el fl`l{iog~lm kloo b|`d}gc`

%U ' : %9 ! %%U d'#i';k'9

%9'

vel{l i/k i`m d i{l imix}ikol

xi{ijl}l{t. Oiwl{*; gjxoljl`}t }el

b|~~w I@M cxl{i}c{/ vegol Oiwl{*4

id}t }c tdiol }el {g`f t}{l`f}et. ]el

c|}x|} cb }el Oiwl{*= gt dcjx{gtlm cb

i og li{ dcjkg`i}gc` cb }el g`x|}t

j|o}gxoglm kw }el `c{jiog~lm {g`f

t}{l`f}e v >

W : v%xU ! {'

%;'

Vel{l x i`m { i{l imix}ikol

xi{ijl}l{t. Oiwl{*< gt i tgjxol

t|jji}gc` cb }el c|}x|}t cb Oiwl{*=.

]el imn|t}jl`} cb jcmgikol

xi{ijl}l{t gt i }vct}lx x{cdltt. Bg{t}/

g`bc{ji}gc` gt x{cxifi}lm bc{vi{m g`

}el `l}vc{a |`}go Oiwl{*= vel{l }el

xi{ijl}l{t i{l gml`}glm kw i olit}*



7/12



ty|i{lt lt}gji}c{. ]el` }el

xi{ijl}l{t g` Oiwl{*; i{l jcmglm

|tg`f f{imgl`} mltdl`}. ]el c`ow |tl{txldglm g`bc{ji}gc` gt }el `|jkl{ cb

jljkl{tegx b|`d}gc`t g` }el |`grl{tl

cb mgtdc|{tl bc{ lide g`x|} i`m c|}x|}

it }{ig`g`f g`bc{ji}gc`. I@BGT |tlt

kida x{cxifi}gc` oli{`g`f }c oli{` }el

xi{ijl}l{t {loi}lm }c jljkl{tegx

b|`d}gc`t i`m olit} jli` ty|i{l

lt}gji}gc` }c ml}l{jg`l }el

dc`tly|l`} xi{ijl}l{t. Lrl{w t}lx g`

}el oli{`g`f x{cdlm|{l g`do|mlt }vc

xi{}t.

]el g`x|} xi}}l{`t i{l x{cxifi}lm/ i`m

}el cx}gjio dc`tly|l`} xi{ijl}l{t i{l

lt}gji}lm kw i` g}l{i}grl olit} jli`

ty|i{l x{cdlm|{l. ]el x{ljgtlxi{ijl}l{t i{l itt|jlm ulm bc{ }el

d|{{l`} dwdol }e{c|fe }el }{ig`g`f tl}.

]el xi}}l{` gt x{cxifi}lm ifig`/ i`m

g` }egt lxcde/ kida x{cxifi}gc` gt

|tlm }c jcmgbw }el x{ljgtl

xi{ijl}l{t vegol }el dc`tly|l`}

xi{ijl}l{t {ljig` ulm.

]c |tl I@BGT bc{ doittgdi}gc`

x{ckolj/ }el mltgf`l{ `llmt }c

xl{bc{j }el bcoocvg`f t}lxt>

9. Mltgf` i T|fl`c BGT ixx{cx{gi}l bc{ }el doittgdi}gc` x{ckolj.

;. Ei`mt cx}gjg~l }el BGT/ fgrl` id}|io g`x|} doittgdi}gc` mi}i.

4. Tl} |x }{ig`g`f i`m }lt}g`f ji}{gdlt. ]el }{ig`g`f i`m }lt}g`f ji}{gdlt vgoo kldcjxctlm cb g`x|}t i`m }el mltg{lm doittgdi}gc` dc{{ltxc`mg`f }c }ectl g`x|}t.

=. [|` }el I@BGT iofc{g}ej c` }el }{ig`g`f mi}i.


8/12



gtck}ig`lm/ i`w cb tlrl{io

cx}gjg~i}gc` {c|}g`lt dc|om kl ixxoglm

}c imn|t}xi{ijl}l{t }ei} vgoo {lm|dltcjl l{{c{ jlit|{l %|t|ioow ml`lm

kw }el t|j cb }el ty|i{lm mgl{l`dltkl}vll` id}|io i`m mltg{lm {ltxc`tl'.

I@BGT |tlt lg}el{ kida x{cxifi}gc`

c{ i dcjkgì}gc` cb olit} ty|i{lt

lt}gji}gc` i`m kida x{cxifi}gc` bc{

jljkl{tegx b|`d}gc` xi{ijl}l{lt}gji}gc`. ]el `lu} tld}gc` mltd{gklt

ixxogdi}gc` cb I@BGT bc{ ERMD

dc`}{co. 5

I@BGT kitlm ERMD dc`}{co

]el {|ol*kitlm og li{ b|~~w ocfgd

dc`}{cool{ di` kl |tlm }c ideglrl }el

mltg{lm }{i`tgl`} xl{bc{ji`dl cb }elERMD ogà dc``ld}lm }c i vlia id

twt}lj. \ògal c}el{ dc`}{cool{/ }el

b|~~w dc`}{cool{ mclt `c} {ly|g{l i

ji}elji}gdio jcmlo cb }el twt}lj }c

lt}gji}l dc`}{co g`x|} |`ml{

mgt}|{ki`dl dc`mg}gc`t.



9/12



Bgf|{l 4> BOD kocda mgif{ij.

]el g`x|} cb }el dc`t}i`} d|{{l`} tgjxol }wxl b|~~w dc`}{cool{ %BOD' gt

}el MD d|{{l`} l{{c{ i`m }el {i}l cb dei`fl cb }el l{{c{ i`m c|}x|} gt }el

dei`fl g` ioxei c{ml{ %'. ]el og`f|gt}gd ri{gikolt |tlm it }vc g`x|}ti{l }el l{{c{ Gl i`m }el {i}l cb dei`fl cb l{{c{ Glx it tecv` g` Bgf. 4.

I {|ol kitl vg}e c`ow bc|{ {|olt di` kl

mltgf`lm. It }el {|ol kitl dc`}ig`t rl{w blv {|olt i`m jljkl{tegx

b|`d}gc`t i{l `c} cx}gjg~lm/ }el {ltxc`tl cb }egt tgjxol }wxl cb b|~~w

dc`}{cool{ gt `c} ti}gtbid}c{w vegde gt lrgml`} b{cj }el {ltxc`tl mlxgd}lm

g` Bgf. =.



10/12

Bgf|{l => [ltxc`tl cb i tgjxol b|~~w dc`}{cool{> i' MD og`l

rco}ifl1 k' MD d|{{l`} Gmd i`m Gm{lb .

Lu}l`mg`f cb }el {|ol kitl i`m x{cxl{

}|`g`f cb jljkl{tegx b|`d}gc`t di`

l`ei`dl xl{bc{ji`dl cb }el b|~~w

dc`}{cool{. K|} g} xl{bc{ji`dl {loglt c`

tlold}gc` cb x{cxl{ jljkl{tegx

b|`d}gc`t i`m `l*}|`g f. ]c ircgm}eltl x{ckoljt/ g` }egt xixl{ I@BGT

kitlm d|{{l } dc`}{cool{ gt x{ltl }lmvegde x{ltl{rlt ioo }el imri`}iflt cb

b|~~w twt}ljt i`m |tlt `l|{io `l}vc{a

i} }el b{c`} l`m }c cx}gjg~l

xl{bc{ji`dl cb }el crl{ioo twt}lj. .

]c }{ig` I@BGT kitlm dc`}{co/ }{ig`g`f

mi}i gt ck}ig`lm b{cj ERMD twt}lj/

vegde gt ly|gxxlm vg}e i dc`rl`}gc`io

XG kitlm dc`t}i`} d|{{l`} dc`}{cool{ %tllBgf.


11/12

bc{ ri{gi}gc` g` MD {lbl{l`dl d|{{l`}

%Gm{lb '. Xl{bc{ji`dl cb ERMD

twt}lj gjx{crlt gb bi|o}t vg}eg

dc`rl{}l{ i{l ml}ld}lm i`m bi|o}

mlrlocxjl`} dc`}{co g`g}gi}lt tcjl

dc{{ld}grl id}gc`. ]el `lu} tld}gc`

mliot vg}e |tl cb I@BGT bc{ bi|o}

gml`}gdi}gc`.

Bgf>2> Xl{bc{ji`dl cb I@BGT dc`}{co bc{ dei`fl g` G m{lb > i' MD og lrco}ifl1 k' MD d|{{l`} Gmd i`m Gm{lb .

Dc`do|tgc`>


12/12

Xl{bc{ji`dl cb BO kitlm

dc`}{cool{ i`m I@BGT kitlm

d|{{l`} dc`}{cool{ bc{ ERMD

twt}lj gt dcjxi{lm. I`m }e|t/

}el I@BGTGT kitlm dc`}{cool{ gt

x{crlm }c kl }el klt} i`m gt }el

jct} imri`}iflc|t cb ioo }el

dc`}{cool{t i`m dc`}{co jl}ecmt.

I`m iotc/ g} gt tll` }ei} }el

mw`ijgd {ltxc`tl cb }el ERMD

twt}lj gt gjx{crlm.

adaptive neuro-fuzzy inference - it

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