빈도비와 Cosine Amplitude Method를 이용한 진부지역의 퍼지기반 산사태 취약성 예측기법 비교 연구 = A Comparative Study of Fuzzy Based Frequency Ratio and Cosine Amplitude Method for Landslide Susceptibility in Jinbu Area

국문 초록 (Abstract)

산사태 위험도 분석에서 범용적으로 활용되고 있는 통계적 취약성 분석 기법은 과거에 발생한 산사태의 위치 정보와 산사태 영향 인자들 사이의 상관관계를 통계적으로 분석하여 산사태 발생 가능성이 있는 지역을 예측하는 기법이다. 이러한 취약성 분석 기법에는 다양한 불확실성이 개입되는데 이러한 불확실성을 고려하기 위한 방법의 하나로 퍼지 기법이 활용되고 있다. 퍼지 기법은 퍼지 집합 이론이라는 수학적인 개념을 통해 불확실성을 표현하는 방법으로 특정 인자가 나타날 수 있는 정도를 소속 함수로 표현한다. 퍼지 기법은 영향 인자들의 소속 함수를 결정하는 방법과 각 영향 인자들의 소속 함수를 결합하는 연산 과정에 다양한 접근 방식이 존재하며, 기존의 연구들은 다양한 접근 방식을 활용하여 분석을 수행하여 왔다. 그러나 이렇게 다양한 접근 방식이 어떠한 결과의 차이를 초래하는지를 비교하는 연구는 수행된 사례가 적은 편이다. 따라서 본 연구에서는 진부 지역을 대상으로 빈도비를 활용하여 소속 함수를 산정하는 기법과 코사인 진폭법을 활용하여 소속 함수를 산정하는 기법을 비교하여 보았다. 또한 다양한 퍼지 연산 기법을 활용하여 산사태 취약성을 산정하고 이들 결과를 비교해 보았으며 ROC 그래프 기법을 활용하여 결과의 정확도를 산정하고 분석 기법의 적절성을 분석하였다.

다국어 초록 (Multilingual Abstract)

Statistical landslide susceptibility analysis, which is widely used among various landslide susceptibility analysis approaches, predicts the unstable area by analyzing statistical relationship between landslide occurrence locations and landslide controlling factors. However, uncertainties are involved in the procedures of the susceptibility analysis and therefore, fuzzy approach has been used to deal properly with uncertainties. The fuzzy approach used fuzzy set theory and fuzzy membership function to quantify uncertainties involved in landslide controlling factors. Various fuzzy approaches were suggested in the procedure of the membership value determination and fuzzy operation in the previous researches. However, few studies were carried out to compare the analysis results obtained from various approaches for membership function determination and fuzzy operation. Therefore, in this study, the authors selected Jinbu area, which a large number of landslides were occurred at in 2006, to apply two most commonly used methods, the frequency ratio and the cosine amplitude method to derive membership values for each controlling factor. In addition, the integration of different thematic layers to produce landslide susceptibility map was performed by several fuzzy operators such as AND, OR, algebraic product, algebraic sum and Gamma operator. The results of the landslide susceptibility analysis using two different methods for the determination of fuzzy membership values and various fuzzy operators were compared on the basis of ROC graph to check the feasibility of the fuzzy based landslide susceptibility analysis.

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