Abstract
This paper presents two applications of the general principle – the everything is a matter of degree – the principle that underlies fuzzy techniques. The first – qualitative – application helps explain the fact that while most earthquakes occur close to faults (borders between tectonic plates or terranes), earthquakes have also been observed in areas which are far away from the known faults. The second – more quantitative – application is to the problem of which of the collaborators should be listed as authors and which should be simply thanked in the paper. We argue that the best answer to this question is to explicitly state the degree of authorship – in contrast to the usual yes-no approach. We also show how to take into account that this degree can be estimated only with some uncertainty – i.e., that we need to deal with interval-valued degrees.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Belohlavek, R., Dauben, J.W., Klir, G.J.: Fuzzy Logic and Mathematics: A Historical Perspective. Oxford University Press, New York (2017)
Fan, W., et al.: Very low frequency earthquakes in between the seismogenic and tremor zones in Cascadia?. AGU Adv. 3(2), e2021AV000607 (2022)
Jaulin, L., Kiefer, M., Didrit, O., Walter, E.: Applied Interval Analysis, with Examples in Parameter and State Estimation, Robust Control, and Robotics. Springer, London (2001). https://doi.org/10.1007/978-1-4471-0249-6
Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Prentice Hall, Upper Saddle River (1995)
Kubica, B.J.: Interval Methods for Solving Nonlinear Contraint Satisfaction, Optimization, and Similar Problems: from Inequalities Systems to Game Solutions. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-13795-3
Langville, A.N., Meyer, C.D.: Google’s PageRank and Beyond: The Science of Search Engine Rankings, Princeton University Press. Princeton, New Jersey, and Oxford, UK (2012)
Mandelbrot, B.B.: Fractals: Form, Chance and Dimension. Freeman Co., New York (2020)
Mayer, G.: Interval Analysis and Automatic Result Verification. de Gruyter, Berlin (2017)
Mendel, J.M.: Uncertain Rule-Based Fuzzy Systems: Introduction and New Directions. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-51370-6
Moore, R.E., Kearfott, R.B., Cloud, M.J.: Introduction to Interval Analysis. SIAM, Philadelphia (2009)
Nguyen, H.T., Kreinovich, V., Wu, B., Xiang, G.: Computing Statistics under Interval and Fuzzy Uncertainty. Springer, Berlin (2012)
Nguyen, H.T., Walker, C.L., Walker, E.A.: A First Course in Fuzzy Logic. Chapman and Hall/CRC, Boca Raton (2019)
Novák, V., Perfilieva, I., Močkoř, J.: Mathematical Principles of Fuzzy Logic. Kluwer, Boston (1999)
Parsons, M.A., Katz, D.S., Langseth, M., Ramapriyan, H., Ramdeen, S.: Credit where credit is due. EOS: Science News from the American Geophysical Union, 103(11), 20–23 (2022)
Vallejo, L.E.: Fractal analysis of the cracking and failure of asphalt pavements. In: Proceedings of the 2016 Geotechnical and Structural Engineering Congress, Phoenix, Arizona (2016)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Acknowledgments
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), 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).
The authors are greatly thankful to the anonymous referees for valuable suggestions.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Servin, C., Velasco, A., Rodriguez Velasquez, E.D., Kreinovich, V. (2023). Everything is a Matter of Degree: The Main Idea Behind Fuzzy Logic is Useful in Geosciences and in Authorship. In: Cohen, K., Ernest, N., Bede, B., Kreinovich, V. (eds) Fuzzy Information Processing 2023. NAFIPS 2023. Lecture Notes in Networks and Systems, vol 751. Springer, Cham. https://doi.org/10.1007/978-3-031-46778-3_20
Download citation
DOI: https://doi.org/10.1007/978-3-031-46778-3_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-46777-6
Online ISBN: 978-3-031-46778-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)