Добавил:

ivanov666 Опубликованный материал нарушает ваши авторские права? Сообщите нам.

Вуз:

Воронежский государственный технический университет

Предмет:

[НЕСОРТИРОВАННОЕ]

Файл:

3606

.pdf

Скачиваний:

Добавлен:

15.11.2022

Размер:

8.04 Mб

Скачать

☆

<<< < Предыдущая 1 2 3 4 5 67 / 147 8 9 10 11 12 13 14 > Следующая >>>

						O(XiB … i			)		:
			,	,			1		k		,
			,	,							,
XiB … i		k	,	O(XiB … i			)			.
1		k			1		k
						,	,				.	,
						,						,
					,					.
				,						.
			.	,
			.	;
				;							.
											.
				,						»	.
				,	.					.		,
					.			Z ={Z1 ,…,Zk }—				,
Zi1	… ik		={Zi1 ,…, Zik	}—						.
				Zi	… i	k					nlr ,
				1		k
				.
				.						Zi1 … ik
				.
				.						:	.	К
										:	.	К
				,						(		)
							nlr (Zi … i			) nlr ,
								1		k
				,	.					,
				,	.					,
					.
				(Zi1 … ik )	.			Zi1 … ik
					.
					,						,
				,							.	,
											.	,
			ю								.
			ю	,
				,								,
												,
												.
			,							(	,	,
				,								)
				,
				.
				,						,
			. Э	,
								61

	,	,
	-	.
,	80%	,
		.

1.		. ,	3. .,		.	. К
.	.:	, . .	, 1974.
2.		, . .		/ . .	,	Х		//
				/ . .	,	Х		//
				. – 2012. – №2.2(48). – . 237-239.
3.		. . К	Д	] /		. .,	. ..		. . //
.				,	, 2013 – 392 ..
4.		. .		:		.	. – 9-	.,	/
. .	. // –	.:		«	», 2003. – 576.

ALGORITHMS OF RANGING OF EXPERT JUDGMENTS AT ASSESSMENT OF

OBJECTS IN DIFFICULT SYSTEMS

V.E. Belousov, Zang Hynk Kau, I.S. Sokha

Belousov Vadim Evgenyevich, Voronezh state technical university, Candidate of Technical Sciences, associate professor, professor of department of management of construction

Russia, Voronezh, e-mail: belousov@vgasu.vrn.ru, tel.: +7-473-276-40-07

Zang Hynk Kau, Voronezh state technical university, graduate student of department of management of construction

Russia, Voronezh, e-mail: upr_stroy_kaf@vgasu.vrn.ru, tel. +7-473-2-76-40-07

Sokha Ilya Sergeyevich, VUNTs Air Force "Military and air academy of N. E. professor of Zhukovsky and Yu. A. Gagarin", teacher

Russia, Voronezh, e-mail: upr_stroy_kaf@vgasu.vrn.ru, tel. +7-473-2-76-40-07

Abstract. In article ways of local ranging of expert judgments at assessment of objects in difficult systems by the choice of points in a subspace of states, and assessment of quality of the set points are considered. For the chosen point and all points of its vicinity quality assessment is defined. Among points of the vicinity is such, at a cobra value of assessment of quality is maximum (minimum) and if this assessment is better, than at the chosen point, then the found point is used for further carrying out local optimization and for it again the vicinity is defined, assessment of quality of points of the new vicinity, etc. is carried out. If assessment of quality of the best point of the vicinity is worse; than assessment of quality of the current point, an algorithm of local optimization comes to an end. Thus, when carrying out local optimization it is necessary to define the vicinity of the chosen point and assessment of quality of points of a subspace.

Keywords: algorithm, quality, method, model, assessment, judgment, expert

References

1.Ayvazyan S. And, Bezhayeva 3. And., Staroverov O. V. Classification of multidimensional observations. M.: Statistics, 1974.

2.Belousov, V. E. The analysis of conditions of difficult systems of organizational management with use of decisive rules / V. E. Belousov, Hong Trong Toan//Control systems and information technologies. - 2012. - No. 2.2(48). - Page 237-239.

3.Barkalov of S. A. Kvalimetriya of [Text] / Barkalov S.A., Belousov V. E. Sanina N. V.//Monograph. LLC Publishing House Nauchnaya the book, Voronezh, 2013 - 392 with.

4.Venttsel E. S. Probability theory: The textbook for student. Vuzov. - 9th prod., E. S. Venttsel erased/.//-M.: Publishing center "Akademiya", 2003. – 576.

	659-014
									Х	Ы
									Ы
					. .		, . .	,	Хы

	а		Ю ия		а	и	а*,	В	а
		,					а	,	,	а	а
Р	,	. В		, e-mail: bondarenko@vgasu.vrn.ru,					. +7-473-276-40-07
		а и		Е		ич, В		а			,
а	а				а	,	,	а	а
Р	,	. В		, e-mail: belousov@vgasu.vrn.ru,					. +7-473-276-40-07
Л	Х		За	,	В		а			, а	а

аа

Р	,	. В	, e-mail: upr_stroy_kaf@vgasu.vrn.ru,				. +7-473-276-40-07
			.
		.	,				.			,
		.					.			,
			,	.
				.
				.	,
				,	. .	,
			.
		К	а:	,	, а	,	а	,	а	а,
		а	.
			,			(	)
		,				,
						.
			,
			.			,
			,			.			,
.
(				,						),
				-						.
, . .		,					Д1Ж.
										,
		.

©		. .,	. .,		, 2018
					64

				.				(				),
		,		.									,
		,					,						,
							,
,		,					,						.
		(					)
								[2].
,
.							.						,
		,						.
								.
								.					,
,													, . .
,		ч						.
		ч			,			.
					,			.
							, D, M>,
					<X, Y, f		, D, M>,
X —				;									χ
Y —				;				(			)
Y —								(			)		X
				Y;
							χ						: χ Y;
f —							χ					Y, f	: χ Y;
D —						,
;
M —				, M: X D.			.
	,						.
-	,				X								cj
cj (x),	x ,	j						X (x),
cj (x),	x ,	j	1, p					X (x),
	.
—		,			—			,
—		,		f	—			,					x
						( f1(x),..., fm (x)) ,
					f (x)	( f1(x),..., fm (x)) ,
		,					f1,..., fm .
		Gk			Y
					Gk (yk ),		yk fk ,
yk fk (x) -							-	, k		.
yk fk (x) -					x		-	, k	1,m	.
-	,						D
							,
M.		,
		,						(					)
	.							(					)
	.
						65

	:		w1 , …,
wm ,	,		. .
,			F1 , …, Fn ,
F1 (v1), …, Fn (vn ) .		M,	ё
		M,	ё
	1 , …,	q ,
(	,		,
	. .).		M

MM( , F (v)) ,

( 1,..., q ) , F (v) ( F1 (v1),...., Fn (vn)).

			,						Q Q1 ... Qq
	,								V V1 ... Vn											.
									V V1 ... Vn																		-
	F (v),
	.
	,		M ( . .																							)
			M ( . .																							)
	Д3].																					,			,		,
		,												S-								,			,		,
		,																			Gk
	(	)	fk																			.
				fk																		( f ,			k ) ,
				fk																	Ik	( f ,		f	k ) ,
	Уk `																						k
																							k

		FK	: Ik Уk		{vk fk						Fk (vk )(0,1)},									k {1,...,n}.
		FK	: Ik Уk		{vk fk						Fk (vk )(0,1)},									k {1,...,n}.
	I k													.
	,													,
					F	(v'		)		F			(v'' )				v'		v''		,						(1)
						(v'		)					(v'' )				v'		v''		,						(1)
							k						k		k			k	k
					k							k
						v'	,v'' I					k	,		1	I		k	.
						v'	,v'' I						,		1	I			.
						k		k					k
	,	,	),																						(
	,		),																Ik )
	,												(						Ik )
	.	,
«	»																									.
	(1)																	Vk :							,	Ik
															k			arctg k				(			).
															Vk
		-						(vk ) ,														(1),
	-						Vk
								.											V							-	,
								66

l (	.1)
	.

[ ]

i i (vi ), i 1 i , vi

([ ] ) ,	Д ] -
	-	,
(v)		(1),

(v)

max { i (v)},

v I ,

0 i p 1

vi 1

i 1

v[v

i 1

(v)

f i f ( f f ) , i 0, p.

(2)

i ,vi 1 ];

,
,	,		, Д4Ж
	.			(
		Vk	-	(
)		fk		Sk ,
,	,		:

Fk : Sk sup Fk ,k ( k1, k2 ),

F	(vk ) .
k
	Sk k			1k	2k
	.
	Vk				:
	1	1 ( 2	S1 )	,
	k	k	k
	2	1 (S2	1) .
	k	k	k
			-		.
		67

, V F ,

( 1,..., N ) ,

						N n1	2n2 ,
			V( ) V1( 1) ... Vn1				1				2	1	2
			V( ) V1( 1) ... Vn1			( n1 ) Vn1 1( n1 1				, n2 1) ... Vn ( n			, n )
	n1 -		S -	,	n2 -						-			( n1 n2 n),
				F
			.									,
					D				-			,
						F (v)							V ( ) .
				D
D			F ,				sup D ,									D (x) ,
x X		,											,
		,				D							,					-
												.
		D				,			Q.
						,						.
												.
	,			(							F		)
				(									)
			,										V( ) Q .
					F k							(		-
		i		,	,	),								(1).
		i	-	,	,									(1).

		D (x) ,	x X ,								(				( ) ,
											(	k ).

												.
						-
		.		,											k			S -
		(		,
	,	),			'	"		Ik						k		Ik	0 .
		),			'	"		Ik						k		Ik	0 .
		0			,
0		1.										,		,	0 =10
			0	1	,								.					:
			0	1									.
			,										F					M
											Dl	Dl ( ) ,
		-			D		:

								(x),			(x)
								(x),			(x)
				D (x) D						D						(3)
						0,		а
						0,		а
					1	D
					1				(x), x sup D
																(4)

		D (x) L				1 l L		l
								l
				0,			а

					sup				sup Dl							(5)
					sup		D		sup Dl							(5)
								1 l L
		.									xsup					(4)
		.									xsup		D			(4)
		,													,	(
												).				(
				Dl								).			,
	-														,
(3),				Dl											.
(3),																-
.	L,									(3)						.
															.	,
,	1,					.										(
	0,5),											0 .			,
	"				"									D .
	,				,										-
D ( 1),	…, D ( r ),									,						(3)-(5),
											D .
											Д5Ж.				Д4Ж
															Д4Ж
															.
	S-
			Gk : F		(v) ( G				(v1),..., G			(vm )),
								1			m
		wk ( ), (1,2]),													t[1, )	t-
юч			, . . (w( ),t) .
юч
Р -					,	.
2: :Y 2L ,			L -			.
																.
,	,															.
,																.
,	,					,
.	,					,
.
						69

,	,	L, , .	,
			,
(			),

									ч
	1.			.	.,				.
№1(63), 2016. –		.				//									,
№1(63), 2016. –		.	55-59.	.	.,				. .
	2.			.	.,				. .
	,			:		Д		Ж//		:			,		,
	,			:											-
					(17-18			2016	)/	.:	.	. (	.	.);	2-
,	.1.,	- .		.	-	.,	:	-	«				», 2016.		.- 94-
99.				. .
	3.			. .		Д	Ж/		.	.,	.	.//			.
						Д	Ж/		.	.,	.	.//			.
:				.	.,				. .	. № 1. 2017. -	C. 77-81.
	4.			.	.,				. .
	,			:		Д		Ж//		:			,		,
	,			:											-
					(17-18			2016	)/	.:	.	. (	.	.);	2-
,	.1.,	-	.	.	-	.,	:	-	«				», 2016.		.- 94-
99.

<<< < Предыдущая 1 2 3 4 5 67 / 147 8 9 10 11 12 13 14 > Следующая >>>

Соседние файлы в предмете [НЕСОРТИРОВАННОЕ]

#
15.11.20227.88 Mб03598.pdf
#
15.11.20227.95 Mб03601.pdf
#
15.11.20227.95 Mб23602.pdf
#
15.11.20228.02 Mб03603.pdf
#
15.11.20228.03 Mб53605.pdf
#
15.11.20228.04 Mб03606.pdf
#
15.11.20228.06 Mб03607.pdf
#
15.11.20228.09 Mб03610.pdf
#
15.11.20228.1 Mб53611.pdf
#
15.11.20228.15 Mб33615.pdf
#
15.11.20228.22 Mб33617.pdf