The Application of Fuzzy Integral for Decision Making Process

(1)巴士路线问题的情况我按时间顺序列出情况表，以了解居民和管理人员的活动。公交线路现状调查结果对每个公交站点的乘客数量进行了检测，并对以往公交线路沿线区域的噪声和振动数据进行了分析。结果表明，噪声和振动均低于环境标准。(3)基于模糊测度理论的层次分析模型的构建AHP模型是一种辅助决策的模型。它可以对具有多个评价标准的对象进行综合评价。由于评价指标的权重之和必须为1.0，所以不能正确地进行评价，本文采用了基于模糊度量理论的新评价指标。评价指标随视角的不同而变化，即替代评价(弱项评价)、平均评价(平均评价)、互补评价(长处评价)。(4)公交线路评价模型及发展应用本文构建的评价模型应用于该问题。结果发现，在AHP模型中，反对这条路线替代评价的居民和反对补充评价的管理人员存在观点分歧，广岛镇的管理人员认为这条路线是可取的，并向镇议会报告。他们的判断在议会中得到了支持。这个问题在那时就解决了。

(1) Circumstances of the Bus Route ProblemsI made a chronological table of circumstances in order to understand the activity of residents and administrators. Therefore I clarified the problems about the bus route.(2) The Investigation Result of the Present State of the Bus RouteI examined the number of passengers at each bus stop, and I analyzed the data of the noise and that of the vibration which had been examined at that area along the bus route in the past. As a result, it was clear that both the noise and the vibration were lower than the environmental criteria.(3) Construction of AHP Model with Fuzzy Measure TheoryAHP (Analytic Hierarchy Process) Model is a model which helps in making decisions. It can evaluate the object which has plural standards for evaluation synthetically. Since the total of the weights of evaluated items must be 1.0, we haven't been able to evaluate correctly.In this paper, the new evaluation index which is based on the fuzzy measure theory is adopted. The evaluation index is changed with the difference of viewpoints which are the substitute evaluation (weak point evaluation), the average evaluation (average evaluation), and the complementary evaluation (of strong point evaluation).(4) Application for the Bus Route Evaluation Model and the DevelopmentsI applied the evaluation model constructed in this paper to this problem. As a result, I found a difference of viewpoints between residents opposed to this route Substitute Evaluation and administrators opposed Complementary Evaluation in the AHP model.The administrators of Hiroshima town judged that this route is desirable and reported to the town assembly. Their judgment was supported in the assembly. This problem was settled at that point.