Compromise Solutions, Domination Structures, and Salukvadze's Solution

被引：82

作者：

Yu, P. L. ^{[1
]}

Leitmann, G. ^{[2
]}

机构：

[1] Univ Rochester, Grad Sch Management, Rochester, NY 14627 USA

[2] Univ Calif Berkeley, Berkeley, CA 94720 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 13卷 / 03期

关键词：

Vector-valued optimization; vector performance indexes; multicriteria optimization; compromise solutions; domination structures; nondominated solutions; N-person games; decision theory;

D O I：

10.1007/BF00934871

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：

We outline the concepts of compromise solutions and domination structures in such a way that the underlying assumptions and their implications concerning the solution concept suggested by Salukvadze may be clearer. An example is solved to illustrate our discussion.

引用

页码：362 / 378

页数：17

共 39 条

[1]

Arrow K. J., 1951, COWLES COMMISSION MO, V12

[2]

Blaquiere A., 1969, QUANTITATIVE QUALITA

[3]

CHARNES A, 1971, MANAGEMENT MODELS IN, V2

[4]

CHARNES A, 1971, MANAGEMENT MODELS IN, V1

[5] CONSTRAINED MINIMIZATION UNDER VECTOR-VALUED CRITERIA IN FINITE DIMENSIONAL SPACES [J].

DACUNHA, NO ;

POLAK, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 19 (01) :103-+

[6]

Ferguson T. S., 1967, MATH STAT DECISION T

[7]

Fishburn P.C., 1970, UTILITY THEORY DECIS

[8]

FREIMER M, 1972, U ROCHESTER GRADUA F, V7220

[9]

FREIMER M, 1972, U ROCHESTER GRADUA F, V7221

[10]

FREIMER M, 1972, 7203 U ROCH CTR SYST

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