Abstract
To describe uncertainty in geosciences, several researchers have recently proposed a 6-labels uncertainty scale, in which one the labels corresponds to full certainty, one label to the absence of any knowledge, and the remaining four labels correspond to the degrees of confidence from the intervals [0, 0.25], [0.25, 0.5], [0.5, 0.75], and [0.75, 1]. Tests of this 6-labels scale indicate that it indeed conveys uncertainty information to geoscientists much more effectively than previously proposed uncertainty schemes. In this paper, we use probability-related techniques to explain this effectiveness.
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References
Belohlavek, R., Dauben, J.W., Klir, G.J.: Fuzzy Logic and Mathematics: a Historical Perspective. Oxford University Press, New York (2017)
Jaynes, E.T., Bretthorst, G.L.: Probability Theory: the Logic of Science. Cambridge University Press, Cambridge, UK (2003)
Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Prentice Hall, Upper Saddle River, New Jersey (1995)
Mendel, J.M.: Uncertain Rule-Based Fuzzy Systems: introduction and New Directions. Springer, Cham, Switzerland (2017)
Miller, G.A.: The magical number seven plus or minus two: some limits on our capacity for processing information. Psychol. Rev. 63(2), 81–97 (1956)
Nguyen, H.T., Walker, C.L., Walker, E.A.: A First Course in Fuzzy Logic. Chapman and Hall/CRC, Boca Raton, Florida (2019)
Novák, V., Perfilieva, I., Močkoř, J.: Mathematical Principles of Fuzzy Logic. Kluwer, Boston, Dordrecht (1999)
Reed, S.K.: Cognition: theories and Application. SAGE Publications, Thousand Oaks, California (2022)
Sheskin, D.J.: Handbook of Parametric and Nonparametric Statistical Procedures. Chapman and Hall/CRC, Boca Raton, Florida (2011)
Tikoff, B., Shipley, T.F., Nelson, E.M., Williams, R.T., Barshi, N., Wilson, C.: Improving the practice of geology through expicit inclusion of scientific uncertainty for data and models. GSA Today 33(7), 4–9 (2023)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Acknowledgements
This work was supported in part by the National Science Foundation grants 1623190 (A Model of Change for Preparing a New Generation for Professional Practice in Computer Science), HRD-1834620 and HRD-2034030 (CAHSI Includes), EAR-2225395, and by the AT&T Fellowship in Information Technology. It was also supported by the program of the development of the Scientific-Educational Mathematical Center of Volga Federal District No. 075-02-2020-1478, and by a grant from the Hungarian National Research, Development and Innovation Office (NRDI).
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Velasco, A., Urenda, J., Kosheleva, O., Kreinovich, V. (2024). Why 6-Labels Uncertainty Scale in Geosciences: Probability-Based Explanation. In: Castillo, O., Melin, P. (eds) New Horizons for Fuzzy Logic, Neural Networks and Metaheuristics. Studies in Computational Intelligence, vol 1149. Springer, Cham. https://doi.org/10.1007/978-3-031-55684-5_29
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DOI: https://doi.org/10.1007/978-3-031-55684-5_29
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