TY - JOUR
T1 - A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices
AU - Golany, B.
AU - Kress, M.
N1 - Funding Information:
A ratio-scale matrix D = (dij) is a positive squar~ matrix with the property that dij = 1/dji. Such a ~atrix is referred to also as a positive reciprocal matrix. Pairwise preference intensities between objects may be expressed in the form of * This research was partially supported by the E. & J. Bishop Fund through the Technion Vice President for Research Office. Correspondence to: M. Kress, Center for Military Analyses, P.O. Box 2250 (28), Haifa, Israel.
PY - 1993/9/10
Y1 - 1993/9/10
N2 - Ratio-scale matrices are commonly used as a vehicle to distinguish among competing alternatives or conflicting criteria. The issue of extracting weights out of such matrices has attracted increasing attention in recent years and resulted in the development of several scaling methods. This paper presents an attempt to evaluate some of the more known techniques in this area. The evaluation procedure includes random generation of a large number of representative matrices which are used to evaluate the various scaling methods according to the specified criteria. The performance of the different techniques is analyzed with respect to the proposed criteria and conclusions are drawn.
AB - Ratio-scale matrices are commonly used as a vehicle to distinguish among competing alternatives or conflicting criteria. The issue of extracting weights out of such matrices has attracted increasing attention in recent years and resulted in the development of several scaling methods. This paper presents an attempt to evaluate some of the more known techniques in this area. The evaluation procedure includes random generation of a large number of representative matrices which are used to evaluate the various scaling methods according to the specified criteria. The performance of the different techniques is analyzed with respect to the proposed criteria and conclusions are drawn.
KW - Decision theory
KW - Pairwise comparison
KW - Ratio-scale matrices
UR - http://www.scopus.com/inward/record.url?scp=0027657345&partnerID=8YFLogxK
U2 - 10.1016/0377-2217(93)90165-J
DO - 10.1016/0377-2217(93)90165-J
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AN - SCOPUS:0027657345
SN - 0377-2217
VL - 69
SP - 210
EP - 220
JO - European Journal of Operational Research
JF - European Journal of Operational Research
IS - 2
ER -