A Comparison between Traditional and Intuitionistic Fuzzy Logic for Vulnerability Mapping Under Uncertainty

Document Type : Research Paper

Authors

1 Associate Professor, Department of GIS, Faculty of Geodesy and Geomatics Engineering, K.N. TOOSI University of Technology, Tehran, Iran

2 PhD Student of Geographic Information System, Department of GIS, Faculty of Geodesy and Geomatics Engineering, K.N. TOOSI University of Technology, Tehran, Iran.

Abstract

The risk of each hazard consists of two components: hazard and vulnerability. Accordingly, for achieving any type of risk map or disaster management system, preparing a reliable vulnerability map is essential equipment. There is certain need to compute vulnerability map under uncertainties. Although fuzzy logic methods were used in many geospatial applications, the traditional fuzzy logic has two important deficiencies. First of all it is necessary to assign a crisp membership function for every property and every value. Secondly, it does not distinguish between the situations in which there is no knowledge about a certain statement with an equal advantages or disadvantages simultaneously. Thus the intuitionistic fuzzy logic terminology was employed in this research. The numerical illustrations of using 8 major criteria, such as population and age of construction were used. The aim of this study is to develop an earthquake vulnerability map which presented with two raster layers, where the degree of membership and the degree of non-membership are the values of each layer so the regions with high membership degree in first map and low membership degree in second map can be determined as high vulnerable regions with higher degree of reliability. Comparison with traditional fuzzy method proves the effectiveness of this suggested method.

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