GRAPH-THEORETIC INTERPRETATION OF THE GENERALIZED ROW SUM METHOD

被引:13
作者
SHAMIS, E
机构
[1] Institute of Control Sciences, 65, Profsoyuznaya St.
关键词
AGGREGATION OF PREFERENCES; PAIRED COMPARISONS; GENERALIZED ROW SUM METHOD; MATRIXTREE THEOREM;
D O I
10.1016/0165-4896(93)00741-C
中图分类号
F [经济];
学科分类号
02 ;
摘要
The generalized row sum method (Chebotarev, 1989, 1994) constructs object scores from paired comparison matrices with missing values. A new interpretation of scores has been obtained. If H = {X1, ..., X(n)} is an object set, the score of object X(i) is the sum of comparison results of all objects X(j) (j = 1, n) taken with coefficients depending on the 'proximity' of vertices i and j in the comparison multigraph.
引用
收藏
页码:321 / 333
页数:13
相关论文
共 9 条
[1]  
CHEBOTAREV PY, 1989, AUTOMAT REM CONTR+, V50, P1103
[2]   AGGREGATION OF PREFERENCES BY THE GENERALIZED ROW SUM METHOD [J].
CHEBOTAREV, PY .
MATHEMATICAL SOCIAL SCIENCES, 1994, 27 (03) :293-320
[3]  
Harary F., 1973, GRAPHICAL ENUMERATIO
[4]  
Horn R.A., 1986, MATRIX ANAL
[5]  
KUROSH AG, 1988, HIGHER ALGEBRA
[6]  
Moon J. W, 1970, COUNTING LABELED TRE
[7]  
SHAMIS E, 1993, UNPUB MATRIX FOREST
[8]  
THOMPSON GL, 1958, MONOGRAPH SCR, V11
[9]  
Tutte William Thomas, 1984, GRAPH THEORY