内集-外集模型的矩阵算法

MATRIX ALGORITHM OF INTERIOR-OUTER-SET MODEL

给出了在自然灾害风险分析领域使用的内集 -外集模型的矩阵算法 ,其中主要是移动子算法和指标集子算法 .使用该算法 ,很容易对内集 -外集模型进行编程 ,依给定的样本和区间 ,计算模糊风险 .同时给出一个算例 ,演示了这一算法 .

In the risk analysis of natural disasters, the interior-outer-set model is used to calculate a simple fuzzy risk: possibility-probability risk. However, it is not easy to use this model in practice due to its combination operations. This paper transforms the model to be a matrix algorithm including MOVING-subalgorithm and INDEX-subalgorithm. Using this algorithm, it is easy to make a program for the interior-outer-set model and to calculate a possibility-probability distribution according to a given sample and some intervals. This paper gives an example in risk assessment of strong earthquake to show the suggested algorithm in detail.