This paper deals with the calculation of a vector of reliable weights of decision alternatives on the basis of interval pairwise comparison judgments of experts. These weights are used to construct the ranking of deci...This paper deals with the calculation of a vector of reliable weights of decision alternatives on the basis of interval pairwise comparison judgments of experts. These weights are used to construct the ranking of decision alternatives and to solve selection problems, problems of ratings construction, resources allocation problems, scenarios evaluation problems, and other decision making problems. A comparative analysis of several popular models, which calculate interval weights on the basis of interval pairwise comparison matrices (IPCMs), was performed. The features of these models when they are applied to IPCMs with different inconsistency levels were identified. An algorithm is proposed which contains the stages for analyzing and increasing the IPCM inconsistency, calculating normalized interval weights, and calculating the ranking of decision alternatives on the basis of the resulting interval weights. It was found that the property of weak order preservation usually allowed identifying order-related intransitive expert pairwise comparison judgments. The correction of these elements leads to the removal of contradictions in resulting weights and increases the accuracy and reliability of results.展开更多
运用心理物理学派研究方法,对沈阳城市公园植物景观美学进行了公众审美偏好程度的研究,并系统地分析和比较了常用的心理物理学派美景度测定与统计方法———美景度评估法(scen ic beauty estim ation)、平均值法(average visual quality...运用心理物理学派研究方法,对沈阳城市公园植物景观美学进行了公众审美偏好程度的研究,并系统地分析和比较了常用的心理物理学派美景度测定与统计方法———美景度评估法(scen ic beauty estim ation)、平均值法(average visual quality)和成对比较法(pairw ise comparison)。本研究选择了15张反映城市公园植物景观的彩色照片,向公众进行了当面问卷调查。调查数据分别利用美景度评估法、平均值法、层次分析法进行了美景度代表值的统计。结果表明:(1)城市公园植物景观的美学质量评价可以通过基于照片媒介的心理物理学研究方法而完成,公众对于不同评价样本的审美偏好是有差别的;(2)本研究中采用3种美景度代表值统计方法获得的最终结果显示,3种方法无显著性差异;(3)通过3种评价方法表现均为较好与较差的评判样本B13与B04来看,样本间存在明显的差异,比如植物本身的形态特征、遮荫效果和空间感等等。但这些特征是否是影响评判结果的关键因素,还有待进一步研究加以验证。展开更多
文摘This paper deals with the calculation of a vector of reliable weights of decision alternatives on the basis of interval pairwise comparison judgments of experts. These weights are used to construct the ranking of decision alternatives and to solve selection problems, problems of ratings construction, resources allocation problems, scenarios evaluation problems, and other decision making problems. A comparative analysis of several popular models, which calculate interval weights on the basis of interval pairwise comparison matrices (IPCMs), was performed. The features of these models when they are applied to IPCMs with different inconsistency levels were identified. An algorithm is proposed which contains the stages for analyzing and increasing the IPCM inconsistency, calculating normalized interval weights, and calculating the ranking of decision alternatives on the basis of the resulting interval weights. It was found that the property of weak order preservation usually allowed identifying order-related intransitive expert pairwise comparison judgments. The correction of these elements leads to the removal of contradictions in resulting weights and increases the accuracy and reliability of results.
文摘运用心理物理学派研究方法,对沈阳城市公园植物景观美学进行了公众审美偏好程度的研究,并系统地分析和比较了常用的心理物理学派美景度测定与统计方法———美景度评估法(scen ic beauty estim ation)、平均值法(average visual quality)和成对比较法(pairw ise comparison)。本研究选择了15张反映城市公园植物景观的彩色照片,向公众进行了当面问卷调查。调查数据分别利用美景度评估法、平均值法、层次分析法进行了美景度代表值的统计。结果表明:(1)城市公园植物景观的美学质量评价可以通过基于照片媒介的心理物理学研究方法而完成,公众对于不同评价样本的审美偏好是有差别的;(2)本研究中采用3种美景度代表值统计方法获得的最终结果显示,3种方法无显著性差异;(3)通过3种评价方法表现均为较好与较差的评判样本B13与B04来看,样本间存在明显的差异,比如植物本身的形态特征、遮荫效果和空间感等等。但这些特征是否是影响评判结果的关键因素,还有待进一步研究加以验证。