. . ī : ϶ , ȣ. , 뱤, 1994, Page 104~134
1. ƴ ˸
2. ָ ϰ ʹ
3. ߷а Ʈũ ?
4. ̷
ǰ, "" ̹ , (ָ)
ϴ ǰ̶ ϴ ִ. ʴ. ,
ؼϴ ϸ, ǰ ˸
ǰ ̴. ⼭, Źð ִ Ź ؼ
ҰѴ.
,
Źϴ ۿ ؼ ڼ . , ջ, ϰ Ź
쿡, Ź ̳ , ǴϿ,
迡 õ ʰ װ͵ Źð ϰ
ִ. ΰ Ź ڵȭ ִٸ, ݺٵ ΰ
ε巴 ŹⰡ ̴. , ̳
Źð ϱ ư, ̵ 踦 ȭϴ
ſ Ͽ, κ δ ذ ʰ ־.
, ϰ ϴ ̴. üδ Ź ſ ϴ
Ǵϴ Ƿ ̳ ̳ if -then
Ἥ ǥϰ
Źð ϴ ̴.
[ 1] Ź ܸ鵵
1 ž ڵŹ ܸ δ.
Ź, ٹ濡 ġ
Ʈ Ἥ Ź
ϰ ִ. Ʈ ߱
̿ Ʈͷ
ǰ, ϵ ġǾ ִ. ߱ ̿κ
ƮͿ ߱ ȯϿ, ν
Ź Ͽ, Ź ִ.
Ź
ð ȭ 2 δ. , ߱ ̿ ߱
ʱġ, ¿ Ʈ ǵ
Ǿ ִ. Ź ϸ Ƿ Ź صǾ,
ϵǾ .( 2(a)) .
ϼӵ( )
ȭ¿ κ Ƿ ϴ ̴. ,
2(b) κ Ͽ Ƿ Ѵ. ,
綧 쿡, Ź ݷ¸
. , ⸧ , ¿
صȴ.
[ 2] Ź ð ȭ
Ƿ, Ź ȭ
ϼӵ ν, Ź ΰ, ƴϸ ⸧ΰ
ϴ ִ. , , ȭ
κ ִ.( 2(c) ) Ҽ ,
DZ ̴. Ƿ, Ź,
κ Ƿ Ǻϰ, Źð
ϰ ִ. , ⸦ ϴ ϹǷ,
ȭ¿ ȭð ¿ Ͽ Ƿ
ǥϿ, ϰ ִ. ,
Ǵ Źð, ȭ Ź ð̴.
, Ϲݰ
Ź Ʈ Ͽ츦 ٰŷ
.
Ϲݰ Ź Ʈ
Ͽ |
ü
6 Ǿ ִ.
Źð
ν , Źð̳ ⼼ ϰ Ӹ ƴ϶, Ź
̳ ʹ Ź õ ٰ ϴ ȿ .
ȭ ʸ ҰѴ. ֱ ī
· 淮ȭ Ǿ, ϱ ǰ ߵǰ ִ. , · 淮ȭ
ɼ ն ȭ Ǿ, , Կÿ ȭ
̼ϰ ϴ ȭ鶳 Ǵ ִ. Ư, zoom up
, ָ ִ ǻü ȮϿ Կϴ 쿡 , ణ ն̶
ȭ ȮǾ ŸǷ, ȭ ſ ϰ ȴ. ⼭, ն
Ǵܿ Ͽ ȭ鶳 ؼ ʿ ҰѴ. ȭ鶳
3 δ. ȭ鶳 , LSI, ó
LSI, ʵ 8-Ʈ Ǿ ִ. 4 δ.
LSI 1ʵ ȭȣ ʵ ȭȣ Ͽ,
䵿 ȭ ͷμ ̿Ͽ ǥѴ.
, ʵ о ġ Ͽ, Ϳ ȭ
Ʋ ̵ Ų. ߶ ȭ Ʋ TVȭ鿡 ϸ , ȭ
° ǹǷ, ȭ鶳 ִ. ,߶ ȭ Ʋ
״ ϸ, TVȭ ߸ ȴ. Ƿ, ߶ ȭƲ
ó LSI TVȭ Ʋ Ȯȴ.
, ȭ鶳 ó,
ȭȣκ ϰ Ƿ, ȭ 䵿 Կ ն
ΰ, ƴϸ ǻü ڽ ӿ ΰ ĺϴ ϴٰ
ϴ . , Կߴٰ ϸ, ȭ
䵿 ն ΰ, ƴϸ Ӹ ΰ
ͺ ĺ ƴ. ȭ鶳 ǻü ӿ ִ 쿡,
۽Ű ʰ, ն 쿡 ϰ Ѵ.
ִ.
[ 3] ն
[ 4] ն
[ 5] ȭ 䵿 ĺ ߷
5 ȭ 䵿 ĺ
δ. 5(a) ǻü 2
ϰ Ǿ Ƿ, ȭ ǻü ӿ
ִٰ Ǻϴ ̰ ִ , 5(b) Ͱ
ũ ǹǷ, ȭ 䵿 ն ̶
Ǻϴ ̰ ִ.
ΰ Կ
, ȭ ն ΰ, ƴϸ ǻü ̰ ִ° Ǻ
ִ. ߵ ī ΰ ɷ¿ ̶
Ǵܱɿ ̴.
ΰ ָ ϱ , ߷ ý( ߷пƮ ý) ߵǾ ִ. , ߷ 1ܸ ߷̹Ƿ, ߷а ٴ Ǵ ǻ̳ ܵ óо߿ ̴ 쿡 ̿ Ͽ. , ۸ Ŀǵ带 ִ 2 Ʈ ý(Ȯġ ߷ shell ) ߷ Ȱ ٴ ־. ̵ ذϴ ٴ ߷ shell Ͽ.
ߵ shell ǥ , Ȯġ ߷ Ͽ ִ. Ͽ, Ͻñ ϴ Ǹ ٰϴ ٴ߷е ϴ.
ý - ٴ ߷ shell , Ʒ Ư¡ ִ.
⺻ 6 δ. shell , ߷кο Ȯġ ߷кη Ǿ ִ. İ ߷кο Ȯġ ߷к ο Ǵ · Ѵ. ǰ ǥ ǰ, 忡 ߷а Ȯġ ߷ ݳǾ ִ. 忡 ִ Ǽ, ڿ, 3̴. ü C ǰ Solbourne ũ̼, Sun ũ̼ǿ ǰ ִ.
[ 6] ٴ ߷ shell
⺻
-
߷ ۼϱ ϴ ̴. ýۿ,
ϳ ϱ , ϳ 츦 Ѵ. , "fuzzy_control"̶
Ÿ ִ.
쿡
̸( , knowledge_block(fuzzy_control)),
̸(, current_nodetype(status)) ϴ Ǹ ϰ,
߷ Ȯġ ߷ ִ. ߷ (fuzzy_control),
ȴ.
Rs : If x1 is Ts1 and ... and xn is Tsn then y is Fs (1)
, Rs, s=1, 2, ... , r s° ߷ ݻ xj, j =1, 2, ... , n j ° Էº Ÿ Tsj , ڿ Ǽ Ÿ. ݻ y º Ÿ, Fs º y δ. ⼭, 1̰, 1 Ǵ Է Ÿ , , 2, ũ١ Ÿ.
, Ȯġ ߷ (action_) Ǿ ִ.
Rs : If x1 is Ts1 and ... and xn is Tsn then Cs1, ... , Csw (2)
, Csk, s=1,
2, ... , m, k = 1, 2, ... ,w shell Լ, C ý Լ, Ǵ
Լ Լ̴. , μ ִ. 쿡 Csk μ, shell
Լ stop()
ǰ ִ.
߷ ۼÿ,
ο ִ Ŀǵ ư 콺 Ŭ ϱ⸸ ϸ, (if,
then , =, ) õǰ, v ߷з ۼ ִ. shell ,
̿ܿ Լ , ǥ , ̺ ۼ
ִ.
ٴ ߷ - ٴ ߷ Ͽ ߷ ǿ , Ͽ ν ȴ. 7 ٴ ߷ 䵵 ̰ Ͽ ۵ δ.
Y* = max max (x s fx(y))) (3)
,
x = b1 (x1) b2
(x2) ... bn (xn)
s = Ts1 (x1) Ts2 (x2) ... Tsn (xn) (4)
̸, ,min Ѱ 5 t-norm Ÿ, Mamdani, godel 6 Ÿ. , Fs (y) Fs Լ Ÿ Ts1 (xj) ,bj (xj) , j= 1, 2, ... , n Tsj, bj Լ Ÿ.
[ 7] ٴ߷а 䵵
s* = max (Ts1(x1) b1 (x1)) ... max(Tsn(xn) bn(xn) (Ÿ)it (5)
7, KB_1 ߷ ǰ, ߷ ǿ ԷµǾ ִ. , KB_1 Ȯġ ߷ ǰ, 1()it, 2()it̹Ƿ, 1 õȴ. 1 ݻ event(KB_2) ǰ, μ, KB_2 õǾ ִ.
- ٴ ߷ ý üȸǹ Ͽ ٴ߷б . 8 ü ȸ δ. ڰ ؼ , Ͽ, ҿ ٸ . , 3 ΰ ְ, ұ 2 ΰ ִ. 2 ϴ θ ϴ Ѵ.
[ 8] ü ϴ route
[ 9] ߷а
, ұ ο 2 ߷п ð ȴ. , a , 1° ߷ μ
IF ߽ð ħ̰, Ȯ then a ü ١ |
߷ Ǿ ְ, 2 ° ߷ μ
IF a ü ſ , then a ð ణ ª. |
Ǿ ִ.
δ( 9 )
[ϴ ] [ҿð ·ΰ Ȯ] |
̷ ̷̳ ϴ ν, 꼺 (Laboratory for International Fuzzy Engineering Research : LIFE) 1989 Ǿ. ֵ ϳ , ɼ ̷ п ָż ϴ Ʈ ý ߿ ִ. LIFE FEShell Ѵ.
[ 10] LIFE FEShell
LIFE FEShell Ʒ 4 κ Ǿ ִ.( 10 )
10, FPS C ǰ, X 츦 äϰ ִ. , Fuzzy Set Mainpulation System δ ý ⺻ Ǿ ִ.
ָż - Ϲ
,ָż ָż ִ. Ƿ, if- then 꿡 ־ ָż
ϴ 쿡, ٸ ָż ó ʿ䰡 ִ. ýۿ
uncertainty, vagueness fuzziness if-then ȿ
ִ. if-then Ǻθ .
IF ((x) 170cm) and (ü(x) ̴ then ... |
꿡
((Tom) 170cm?) and (ü(Tom)=72Kg)) |
̶ Ͱ ԷµǾٰ
. ⼭, ((x)170) ((Tom)=170cm ) ϸ,
ʹ ϰ ִٰ , ű ָż Ѵ.
̰ 0ΰ 1ΰ ϴ 2ġ , Ǵ° ƴѰ ϴ
Ұϴٶ ϴ ָż̸, vagueness ָż̶ Ǿ ִ. ,
(ü(x) ̴) (ü(Tom)=72kg)) , ָż
ٸ, ǿ , ϰ մ 0̳ 1δ
ʴ´ٶ ǹ ָż̴. ָż, fuzzinessǾ մ. Ƿ,
̵ 2 ָż ٸ ̴. , , ǿ
0.7 , ǿ 0.8 ̶
ٰ ص, ((x)170cm) and (ü(x) ̴) Ǻ
min(0.7, 0.8)ó ϳ δ . LIFE FEShall ,
ɼ ̷п ٰϿ, ذϰ ִ. Ʒ,
Ἥ Ǻ ϰ, ذϴ Ѵ.
(1) ((x) 170cm) ((Tom)=170cm )
, 170cm Լ, Ʒ ̻ġ ǵǾ ִٰ Ѵ.
170cm : { 0.4/168, 0.8/168, 1/170, 0.8/171, 0.4/172} |
Լ,
ɼ Ÿ Ƿ, ɼ (v) ٰϿ, 2 ɼ,
ϰ ִ ɼ ( 170cm ̻ ) Ѵ.
( 170cm ̻ ) = max{(v) F(v)} (6)
( 170cm ̸) = max{(v) (1-F(v))} (7)
, ȣ min Ÿ, F(v) Ʒ " 170cm̻" Ÿ Լ̴.
F(v) = {1 (v170)
{0 (v170) (8)
2 ɼ , ġ ɼ ǥѴ.
{ 0.8/0, 1/1}
, "0.8/0" ʴ(ġ 0) ɼ 0.8 ̰, "1/1" ϴ (ġ 1) ɼ 1 ̰ ִ.
(2) (ü(x) ̴) (ü9Tom)=
72Kg ) , 9ü(x) ̴)
Ʒ ǵǾ ִٰ Ѵ
ü ̴. { 0.1/71, 0.2/72, 0.3/73, 0.4/74, 0.5/75, 0.6/76, 0.7/77, 0.8/78, 0.9/79, 1/80 ̻ } |
, "0.1/71" ,
"ü 71Kg " ġ 0.1 ̰ ִ. ̰ ġԼ
(x) ϰ մٰ ִ. "ü 72Kg"
"ü ̴" , ǵ Լ Ἥ, (72)=0.2
Ѵ.
(3) ߷ Ǻ (1), (2) ġ ɼ ̹Ƿ, ߷ Ǻ Ѵ.
{0.8/0, 1/1}{1/0.2}={0.81/00.2, 11/10.2}
={0.8/0, 1/0.2} (9)
(9), ġ ʴ´ٰ ϴ ɼ 0.8 ̸, ġ 0.2 ġϰ ִٰ ϴ ɼ 1 ̰ ִ. , 9(Tom)=170cm) ((x)170cm) , 0.8 ָż(vagueness) ϰ ʰ, (ü(Tom)=72Kg) (ü(x) ̴) , 0.2 ָż9fuzziness) ġϰ ɼ 1 ̰ ִ.
, LIFE FEShall ŷڼ ͵ ִ.
δ ý۰ ý , ߷ ϴ δ ý(FPS) ý(FFS) 2 ýۿ , Ư¡ Ѵ. FPS ߵ δ ý ⺻ Ǿ ִ. FPS Ư¡ δ.
, LIFE FESHALL, FPS ̽ μ FPS Ʈ (FPOE) ִ. 11 FPOE ̻ǥԷ¿ 並 ̰, 12 ǥԷ¿ δ.
[
11] ǥԷ¿
[ 12] ǥԷ¿
, ý(FFS) ָż ó ϰ ý̴. FFS Ư¡ .
迡 谡 ִ.
, LIFE FEShall FFS · μ, (FFS) ִ.