标题： 一种实验方法：图的图 显示英文标题

标题： An experimental approach: The graph of graphs

摘要： 决策问题和偏好建模中的一个关键问题是需要向决策者询问的比较数量及其模式。 我们关注成对比较的最佳模式以及基于颜色选择实验结果的包含最多（接近）最佳情况的序列。 在测试中，六种颜色（红色、绿色、蓝色、品红、青蓝色、黄色）通过成对比较以及直接方式在感官实验室的ISO标准化感官测试间内进行评估。 所有可能的比较模式导致的连接表示图都基于301个个体的成对比较矩阵（PCMs）的完整数据进行了评估，使用了对数最小二乘权重计算技术。 结果显示，经验结果，即PCMs元素的经验分布与文献中的先前模拟结果非常相似。 获得的经验最优比较模式在之前的模拟中也是最佳或第二好的，而包含最多（接近）最佳模式的比较序列也完全相同。 为了提高结果的适用性，除了图形的图形展示以及描述所提出比较序列的表示图外，建议还以表格形式和Java应用程序的形式详细列出。 显示英文摘要

摘要： One of the essential issues in decision problems and preference modeling is the number of comparisons and their pattern to ask from the decision maker. We focus on the optimal patterns of pairwise comparisons and the sequence including the most (close to) optimal cases based on the results of a color selection experiment. In the test, six colors (red, green, blue, magenta, turquoise, yellow) were evaluated with pairwise comparisons as well as in a direct manner, on color-calibrated tablets in ISO standardized sensory test booths of a sensory laboratory. All the possible patterns of comparisons resulting in a connected representing graph were evaluated against the complete data based on 301 individual's pairwise comparison matrices (PCMs) using the logarithmic least squares weight calculation technique. It is shown that the empirical results, i.e., the empirical distributions of the elements of PCMs, are quite similar to the former simulated outcomes from the literature. The obtained empirically optimal patterns of comparisons were the best or the second best in the former simulations as well, while the sequence of comparisons that contains the most (close to) optimal patterns is exactly the same. In order to enhance the applicability of the results, besides the presentation of graph of graphs, and the representing graphs of the patterns that describe the proposed sequence of comparisons themselves, the recommendations are also detailed in a table format as well as in a Java application.