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Why 6-Labels Uncertainty Scale in Geosciences: Probability-Based Explanation

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New Horizons for Fuzzy Logic, Neural Networks and Metaheuristics

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1149))

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

  1. Belohlavek, R., Dauben, J.W., Klir, G.J.: Fuzzy Logic and Mathematics: a Historical Perspective. Oxford University Press, New York (2017)

    Book  Google Scholar 

  2. Jaynes, E.T., Bretthorst, G.L.: Probability Theory: the Logic of Science. Cambridge University Press, Cambridge, UK (2003)

    Book  Google Scholar 

  3. Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Prentice Hall, Upper Saddle River, New Jersey (1995)

    Google Scholar 

  4. Mendel, J.M.: Uncertain Rule-Based Fuzzy Systems: introduction and New Directions. Springer, Cham, Switzerland (2017)

    Book  Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. Nguyen, H.T., Walker, C.L., Walker, E.A.: A First Course in Fuzzy Logic. Chapman and Hall/CRC, Boca Raton, Florida (2019)

    Google Scholar 

  7. Novák, V., Perfilieva, I., Močkoř, J.: Mathematical Principles of Fuzzy Logic. Kluwer, Boston, Dordrecht (1999)

    Book  Google Scholar 

  8. Reed, S.K.: Cognition: theories and Application. SAGE Publications, Thousand Oaks, California (2022)

    Google Scholar 

  9. Sheskin, D.J.: Handbook of Parametric and Nonparametric Statistical Procedures. Chapman and Hall/CRC, Boca Raton, Florida (2011)

    Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  Google Scholar 

Download references

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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Correspondence to Vladik Kreinovich .

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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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