期刊
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN
卷 46, 期 4, 页码 429-447出版社
ELSEVIER SCI LTD
DOI: 10.15807/jorsj.46.429
关键词
AHP; paired comparison; logarithmic least square; incomplete information; cyclic design
The simple method called 2-cyclic design is proposed to select pairs to be compared from the whole set of pairs in AHP, which reduces the comparing number n(n - 1)/2 for n-object AHP to 2n. The isomorphism of our designs is investigated, by which we can reduce the range of designs to be considered. The standard errors of our designs are calculated for n = 5,...,60, by which we know the best 2-cyclic designs in this range. Developing the algebra on our designs we can clarify the characteristics of good designs and further propose several conjectures which give a general method to produce the better or the best designs. These conjectures are valid for n = 5,... 60.
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