DERIVING WEIGHTS FROM PAIRWISE COMPARISON MATRICES - THE ADDITIVE CASE

被引:55
作者
BARZILAI, J [1 ]
GOLANY, B [1 ]
机构
[1] TECHNION ISRAEL INST TECHNOL,FAC IND ENGN & MANAGEMENT,IL-32000 HAIFA,ISRAEL
关键词
arithmetic mean; decision analysis; geometric means; pairwise comparison matrices;
D O I
10.1016/0167-6377(90)90062-A
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
The foundations are laid for an additive version of the Analytic Hierarchy Process by constructing a framework for the study of multiplicative and additive pairwise comparison matrices and the relations between them. In particular, it will be proved that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent additive judgements matrices is the arithmetic mean. © 1990.
引用
收藏
页码:407 / 410
页数:4
相关论文
共 11 条
[1]   CONSISTENT WEIGHTS FOR JUDGMENTS MATRICES OF THE RELATIVE IMPORTANCE OF ALTERNATIVES [J].
BARZILAI, J ;
COOK, WD ;
GOLANY, B .
OPERATIONS RESEARCH LETTERS, 1987, 6 (03) :131-134
[2]  
BARZILAI J, 1987, OCT P C HON A CHARN
[3]   ON A SHORT-COMING OF SAATY METHOD OF ANALYTIC HIERARCHIES [J].
BELTON, V ;
GEAR, T .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 1983, 11 (03) :228-230
[4]   A NOTE ON THE ANALYSIS OF SUBJECTIVE JUDGMENT MATRICES [J].
CRAWFORD, G ;
WILLIAMS, C .
JOURNAL OF MATHEMATICAL PSYCHOLOGY, 1985, 29 (04) :387-405
[5]   MEASURABLE MULTIATTRIBUTE VALUE FUNCTIONS [J].
DYER, JS ;
SARIN, RK .
OPERATIONS RESEARCH, 1979, 27 (04) :810-822
[6]  
JENSEN RE, 1989, 182 TRIN U WORK PAP
[7]  
Kemeny J., 1962, MATH MODELS SOCIAL S
[8]  
KRANTZ DH, 1971, F MEASUREMENT, V1
[9]  
SAATY TL, 1983, MODULES APPLIED MATH, V3
[10]  
Saaty TL., 1980, ANAL HIERARCHY PROCE