Fuzzy representation of rainfall threshold in triggering mass removal processes





Fuzzy sets, Mass removals, Precision, Statistical inference, Threshold


The main objective of this research is to implement a new methodology for the quantitative representation of metric records on mass removal processes that incorporates the characteristic imprecision consistent with human and/or technical nature. The research used a positivist paradigm with a quantitative scope and longitudinal measurement in a propositive context. The study sample included daily rainfall records of the Punta Ángeles meteorological stations from the Chilean Navy Meteorological Service and Meteorological Laboratory of the Institute of Geography of the Pontifical Catholic University of Valparaiso, between 2008 and 2013. As a result, it is observed that the proposed methodology allows for quick decision-making with formal statistical support, as well as consistency in the precipitation measurements from both stations. In addition, the creation of an alert threshold was improved, and no significant differences were established in the rainfall variability in the meteorological stations studied and the recording years, which leads to the conclusion that this proposal represents a qualitative improvement in generating quantitative results.


Aleotti, P. (2004). A warning system for rainfall-induced shallow failures. Engineering Geology, 73 (3-4), 247-265. doi: https://doi.org/10.1016/j.enggeo.2004.01.007

Biasutti, M., Seager, R., & Kirschbaum, D. B. (2016). Landslides in West Coast metropolitan areas: The role of extreme weather events. Weather and Climate Extremes, 14, 67-79. doi: https://doi.org/10.1016/j.wace.2016.11.004

De Barros, L., & Bassanezi, R. (2006). Tópicos de lógica Fuzzy E biomatemática. IMECC-Unicamp. Campinas (In Portuguese). https://bit.ly/36RSkXL

Dubois, D., & Prade, H. (1978). Operations on fuzzy numbers. International Journal of Systems Science, 9, 613–626. doi: https://doi.org/10.1080/00207727808941724

Dubois, D., Kerre, E., Mesiar, R., & Prade, H. (2000). Fuzzy interval analysis. In Fundamentals of fuzzy sets (pp. 483-581). Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4429-6_11

Dubois, D., & Prade, H. (1982). On Several Representations of an Uncertain Body of Evidence. In Fuzzy Information and Decision Processes, 167-181. Elsevier, Amsterdam.

Erikson, I., & Högstedt, J. (2004). Landslide Hazard Assesment and Landslide Precipitation Relationship in Valparaís. Department of Physical Geography. Central Chile. https://bit.ly/2TobDE8

Foti, S. (2012). Combined use of Geophysical Methods for Geotechnical Site Characterization. 4th International Conference on Geotechnical and Geophysical Site Characterization Recife. Brasil.

Fisher, R.A. (1922). On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London. Series A Containing Papers of a Mathematical or Physical Caracter, 222, 309–368. doi: https://doi.org/10.1098/rsta.1922.0009

González, J. A., Castro, L. M., Lachos, V. H., & Patriota, A. G. (2016). A confidence set analysis for observed samples: a fuzzy set approach. Entropy, 18(6), 211. doi: https://doi.org/10.3390/e18060211

Hauser, A. (2000). Remociones en masa en Chile. Servicio Nacional de Geología y Minería. Boletín n.° 59. Santiago, Chile.

Hernández-Sampieri, R., Fernández-Collado., & Baptista-Lucio, M. (2014). Metodología de la investigación (No. 303.1). McGraw-Hill Education,

Hoff, P. A. (2009). First Course in Bayesian Statistical Methods. Springer. https://doi.org/10.1007/978-0-387-92407-6

Ma, Chao, Wang., Yujie, Hu., Kaiheng, Du, Cui., & Yang, Wentao. (2017). Rainfall intensity–duration threshold and erosion competence of debris flows in four areas affected by the 2008 Wenchuan earthquake, Geomorphology, 288, 85-95. doi: https://doi.org/10.1016/j.geomorph.2017.01.012

Martínez, C. (1994). Diagnóstico de riesgo de inundación y deslizamientos de laderas en la ciudad de Valparaíso a través de sistema de información geográfico. UPLA.

Mauris, G. (2009). Possibility distribution: A unified representation for parameter estimation. In Proceedings of the Joint IFSA-EUSFLAT, 1589-1594. Conference, Lisbon, Portugal.

Neyman, J. (1956). Note on an article by Sir Ronald Fisher. Journal of the Royal Statistical Society. Series B (Methodological), 18(2), 288–294. doi: https://doi.org/10.1111/j.2517-6161.1956.tb00236.x

Nasseri, S., Taleshian, F., Alizadeh, Z., & Vahidi, J. (2012). A New Method for Ordering LR Fuzzy Number. The Journal of Mathematics and Computer Science, 4(3), 283–294. https://doi.org/10.22436/jmcs.04.03.01

Namakforoosh, M. N. (2000). Metodología de la investigación. Editorial Limusa.

Reichenbach, P., Cardinali, M., De Vita. P., & Guzzetti, F. (1998). Regional hydrological thresholds for landslidesand floods in the Tiber River Basin (Central Italy). Environ Geol, 35(2-3),146-159. https://doi.org/10.1007/s002540050301

Zadeh, L. (1965). Fuzzy sets. Inf. Control, 8, 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

Zadeh, L. A. (1999). Fuzzy sets as a basis for a theory of possibility. Fuzzy sets and systems, 100, 9-34. https://doi.org/10.1016/S0165-0114(99)80004-9



How to Cite

Fuzzy representation of rainfall threshold in triggering mass removal processes. (2021). Uniciencia, 35(1), 231-244. https://doi.org/10.15359/ru.35-1.14



Original scientific papers (evaluated by academic peers)

How to Cite

Fuzzy representation of rainfall threshold in triggering mass removal processes. (2021). Uniciencia, 35(1), 231-244. https://doi.org/10.15359/ru.35-1.14

Comentarios (ver términos de uso)

Most read articles by the same author(s)

1 2 3 4 5 6 7 8 9 10 > >>