The Application of Fuzzy Integral for Decision Making Process

(1)公交路线问题的情况为了了解居民和管理人员的活动，我制作了一个按时间顺序排列的情况表。因此，我澄清了公交路线的问题。(2)公交线路现状调查结果调查了每个公交站点的乘客数量，并分析了过去在公交线路沿线该区域检测过的噪声和振动数据。结果很明显，噪音和振动都低于环境标准。(3)用模糊测度理论构建AHP模型AHP （Analytic Hierarchy Process）模型是一种有助于决策的模型。它可以对具有多种评价标准的对象进行综合评价。由于评估项目的总权重必须为1.0，因此我们无法正确评估。本文采用了基于模糊测度理论的新评价指标。评价指标随着观点的不同而变化，即替代评价（弱项评价）、平均评价（中等评价）和互补评价（强项评价）。(4)公交线路评价模型的应用与开发，将本文构建的评价模型应用于该问题。因此，我发现在AHP模型中，居民反对替代评价和管理者反对补充评价的观点存在差异。广岛市行政当局认为这条路线是可取的，并向市议会进行了报告。他们的判决在大会上得到了支持。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.