Slope Instability Zonation: a Comparison Between Certainty Factor and Fuzzy Dempster–Shafer Approaches

This paper presents a comparison between two methodologies for the evaluation of slope instability and the production of instability maps, using a probabilistic approach and a hybrid possibilistic and credibilistic approach. The first is the Certainty Factor method, and the second is based on Fuzzy Logic integrated with the Dempster–Shafer theory. These methodologies are applied to the 1 : 50,000 scale Fabriano (Marche, Italy) geological map sheet. The results are represented as histograms where the accuracy of the prediction is shown, and the comparison of the results of the methods is discussed.

[1]  J. C. Doornkamp,et al.  Large scale geomorphological mapping and Highway engineering design , 1975, Quarterly Journal of Engineering Geology.

[2]  Edward H. Shortliffe,et al.  A model of inexact reasoning in medicine , 1990 .

[3]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[4]  Herbert Neuland,et al.  A prediction model of landslips , 1976 .

[5]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[6]  E. E. Brabb,et al.  Engineering geological mapping of the west carpathian landslide areas , 1979 .

[7]  Peter Lessing,et al.  Landslide risk assessment , 1983 .

[8]  Alberto Carrara,et al.  Multivariate models for landslide hazard evaluation , 1983 .

[9]  P. Burrough.  Principles of Geographical Information Systems for Land Resources Assessment , 1986 .

[10]  K. Yin,et al.  Statistical prediction model for slope instability of metamorphosed rocks , 1988 .

[11]  Witold Pedrycz,et al.  Fuzzy sets in pattern recognition: Methodology and methods , 1990, Pattern Recognit..

[12]  P. Reichenbach,et al.  GIS techniques and statistical models in evaluating landslide hazard , 1991 .

[13]  Russell G. Congalton,et al.  A review of assessing the accuracy of classifications of remotely sensed data , 1991 .

[14]  Chang-Jo Chung,et al.  The representation of geoscience information for data integration , 1993 .

[15]  Elisabetta Binaghi,et al.  Fuzzy decision making in the classification of multisource remote sensing data , 1993 .

[16]  Ronald R. Yager,et al.  Including probabilistic uncertainty in fuzzy logic controller modeling using Dempster-Shafer theory , 1995, IEEE Trans. Syst. Man Cybern..

[17]  Elisabetta Binaghi,et al.  A hybrid approach to fuzzy land cover mapping , 1996, Pattern Recognit. Lett..

[18]  Lucia Luzi,et al.  Slope Instability in Static and Dynamic Conditions for Urban Planning: the ‘Oltre Po Pavese’ Case History (Regione Lombardia – Italy) , 1999 .

[19]  L. Zadeh.  Fuzzy sets as a basis for a theory of possibility , 1999 .