| Research on Consistency of the Complex Interval Judgement Matrix in AHP |
| |
| 作者姓名： | XU Ze\|shui PLA University of Science and Technology Nanjing China |
| |
| 作者单位： | XU Ze\|shui PLA University of Science and Technology，Nanjing 210016，China |
| |
| 基金项目： | Research supported by National Science Foundation of China |
| |
| 摘 要： | 1 IntroductionTheanalytichierarchyprocess(AHP)usespairedcomparisonstoderiveascaleofrelativeimportanceforalternatives,whendecisionmakersareuncertainabouttheirpreferences,theuncertaintyinmakingcomparisonsismeasuredbyassociatingwitheachjudgementanintervalofnumericalvalues.TheAHPhasbeenappliedtogroupdecisionproblems.Saaty3]hasdiscussedseveralpracticalandtheoreticalaspectsofgroupdecision-makingusingAHP.ThereareserveralmethodsemployedinAHPforaggregatinggroupopinions,oneofwhichistheweightedgeo…
|
Research on Consistency of the Complex Interval Judgement Matrix in AHP |
| |
| XU Ze\|shui PLA University of Science and Technology,Nanjing ,China.Research on Consistency of the Complex Interval Judgement Matrix in AHP[J].Journal of Systems Science and Systems Engineering,2000(2). |
| |
| Authors: | XU Ze\|shui PLA University of Science and Technology Nanjing China |
| |
| Institution: | XU Ze\|shui PLA University of Science and Technology,Nanjing 210016,China |
| |
| Abstract: | The weighted geometric mean method(WGMM) has been the most commonly used method in the analytic hierarchy process(AHP) for combining individual opinions to form a group opinion. In this paper, we study the consistency of the WGMM in group decision and prove that the weighted geometric mean complex interval judgement matrix (WGMIM) is of acceptable consistency under the condition that all interval matrices for the same decision\|making problem are of acceptable consistency. Thus, research on consistency of group decision in AHP is further developed and a theory basis for the application of the WGMM is also made. |
| |
| Keywords: | the analytic hierarchy process(AHP) interval judgement matrix consistency |
| 本文献已被 CNKI 等数据库收录！ |
