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LAGRANGE MULTIPLIER THEOREM OF MULTIOBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS
被引:16
作者
:
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
机构:
KANGWEON NATL UNIV,DEPT MATH EDUC,KANGWEON,SOUTH KOREA
KANGWEON NATL UNIV,DEPT MATH EDUC,KANGWEON,SOUTH KOREA
HSIA, WS
[
1
]
LEE, TY
论文数:
0
引用数:
0
h-index:
0
机构:
KANGWEON NATL UNIV,DEPT MATH EDUC,KANGWEON,SOUTH KOREA
KANGWEON NATL UNIV,DEPT MATH EDUC,KANGWEON,SOUTH KOREA
LEE, TY
[
1
]
LEE, JY
论文数:
0
引用数:
0
h-index:
0
机构:
KANGWEON NATL UNIV,DEPT MATH EDUC,KANGWEON,SOUTH KOREA
KANGWEON NATL UNIV,DEPT MATH EDUC,KANGWEON,SOUTH KOREA
LEE, JY
[
1
]
机构
:
[1]
KANGWEON NATL UNIV,DEPT MATH EDUC,KANGWEON,SOUTH KOREA
来源
:
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
|
1991年
/ 70卷
/ 01期
关键词
:
MULTIOBJECTIVE PROGRAMMING;
SET FUNCTIONS;
LAGRANGE MULTIPLIER THEOREMS;
ZERO-LIKE FUNCTIONS;
PROPER D-SOLUTIONS;
D O I
:
10.1007/BF00940508
中图分类号
:
C93 [管理学];
O22 [运筹学];
学科分类号
:
070105 ;
12 ;
1201 ;
1202 ;
120202 ;
摘要
:
In this paper, Lagrange multiplier theorems are developed for the cases of single-objective and multiobjective programming problems with set functions. Properly efficient solutions are also characterized by subdifferentials and zero-like functions.
引用
收藏
页码:137 / 155
页数:19
相关论文
共 14 条
[1]
EFFICIENCY AND PROPER EFFICIENCY IN VECTOR MAXIMIZATION WITH RESPECT TO CONES
[J].
BENSON, HP
论文数:
0
引用数:
0
h-index:
0
机构:
GM CORP,RES LABS,WARREN,MI 48090
GM CORP,RES LABS,WARREN,MI 48090
BENSON, HP
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1983,
93
(01)
:273
-289
[2]
PROPER EFFICIENT POINTS FOR MAXIMIZATIONS WITH RESPECT TO CONES
[J].
BORWEIN, J
论文数:
0
引用数:
0
h-index:
0
机构:
DALHOUSIE UNIV,DEPT MATH,HALIFAX,NOVA SCOTIA,CANADA
DALHOUSIE UNIV,DEPT MATH,HALIFAX,NOVA SCOTIA,CANADA
BORWEIN, J
.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1977,
15
(01)
:57
-63
[3]
ON MULTIPLE OBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS
[J].
CHOU, JH
论文数:
0
引用数:
0
h-index:
0
CHOU, JH
;
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
LEE, TY
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1985,
105
(02)
:383
-394
[4]
EPIGRAPHS OF CONVEX SET-FUNCTIONS
[J].
CHOU, JH
论文数:
0
引用数:
0
h-index:
0
CHOU, JH
;
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
LEE, TY
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1986,
118
(01)
:247
-254
[5]
CONVEX-PROGRAMMING WITH SET-FUNCTIONS
[J].
CHOU, JH
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
CHOU, JH
;
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
LEE, TY
.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,
1987,
17
(03)
:535
-543
[6]
PROPER EFFICIENCY WITH RESPECT TO CONES
[J].
HENIG, MI
论文数:
0
引用数:
0
h-index:
0
HENIG, MI
.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1982,
36
(03)
:387
-407
[7]
PROPER D-SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS
[J].
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
机构:
Univ of Alabama, University, AL, USA, Univ of Alabama, University, AL, USA
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
机构:
Univ of Alabama, University, AL, USA, Univ of Alabama, University, AL, USA
LEE, TY
.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1987,
53
(02)
:247
-258
[8]
LAGRANGIAN FUNCTION AND DUALITY-THEORY IN MULTIOBJECTIVE PROGRAMMING WITH SET-FUNCTIONS
[J].
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
LEE, TY
.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1988,
57
(02)
:239
-251
[9]
OPTIMAL CONSTRAINED SELECTION OF A MEASURABLE SUBSET
[J].
MORRIS, RJT
论文数:
0
引用数:
0
h-index:
0
机构:
Bell Laboratories, Holmdel
MORRIS, RJT
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1979,
70
(02)
:546
-562
[10]
Rockafellar R.T., 1970, CONVEX ANAL
←
1
2
→
共 14 条
[1]
EFFICIENCY AND PROPER EFFICIENCY IN VECTOR MAXIMIZATION WITH RESPECT TO CONES
[J].
BENSON, HP
论文数:
0
引用数:
0
h-index:
0
机构:
GM CORP,RES LABS,WARREN,MI 48090
GM CORP,RES LABS,WARREN,MI 48090
BENSON, HP
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1983,
93
(01)
:273
-289
[2]
PROPER EFFICIENT POINTS FOR MAXIMIZATIONS WITH RESPECT TO CONES
[J].
BORWEIN, J
论文数:
0
引用数:
0
h-index:
0
机构:
DALHOUSIE UNIV,DEPT MATH,HALIFAX,NOVA SCOTIA,CANADA
DALHOUSIE UNIV,DEPT MATH,HALIFAX,NOVA SCOTIA,CANADA
BORWEIN, J
.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1977,
15
(01)
:57
-63
[3]
ON MULTIPLE OBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS
[J].
CHOU, JH
论文数:
0
引用数:
0
h-index:
0
CHOU, JH
;
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
LEE, TY
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1985,
105
(02)
:383
-394
[4]
EPIGRAPHS OF CONVEX SET-FUNCTIONS
[J].
CHOU, JH
论文数:
0
引用数:
0
h-index:
0
CHOU, JH
;
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
LEE, TY
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1986,
118
(01)
:247
-254
[5]
CONVEX-PROGRAMMING WITH SET-FUNCTIONS
[J].
CHOU, JH
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
CHOU, JH
;
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
UNIV ALABAMA,DEPT MATH,UNIVERSITY,AL 35486
LEE, TY
.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,
1987,
17
(03)
:535
-543
[6]
PROPER EFFICIENCY WITH RESPECT TO CONES
[J].
HENIG, MI
论文数:
0
引用数:
0
h-index:
0
HENIG, MI
.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1982,
36
(03)
:387
-407
[7]
PROPER D-SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS
[J].
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
机构:
Univ of Alabama, University, AL, USA, Univ of Alabama, University, AL, USA
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
机构:
Univ of Alabama, University, AL, USA, Univ of Alabama, University, AL, USA
LEE, TY
.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1987,
53
(02)
:247
-258
[8]
LAGRANGIAN FUNCTION AND DUALITY-THEORY IN MULTIOBJECTIVE PROGRAMMING WITH SET-FUNCTIONS
[J].
HSIA, WS
论文数:
0
引用数:
0
h-index:
0
HSIA, WS
;
LEE, TY
论文数:
0
引用数:
0
h-index:
0
LEE, TY
.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,
1988,
57
(02)
:239
-251
[9]
OPTIMAL CONSTRAINED SELECTION OF A MEASURABLE SUBSET
[J].
MORRIS, RJT
论文数:
0
引用数:
0
h-index:
0
机构:
Bell Laboratories, Holmdel
MORRIS, RJT
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1979,
70
(02)
:546
-562
[10]
Rockafellar R.T., 1970, CONVEX ANAL
←
1
2
→