RT Conference Proceedings
T1 Measuring polarization: a fuzzy set theoretical approach
A1 Guevara Gil, Juan Antonio
A1 Gómez González, Daniel
A1 Robles Morales, José Manuel
A1 Montero De Juan, Francisco Javier
A2 Lesot, Marie-Jeanne
A2 Vieira, Susana
A2 Reformat, Marek Z.
A2 Carvalho, João Paulo
A2 Wilbik, Anna
A2 Bouchon-Meunier, Bernadette
A2 Yager, Ronald R.
AB Abstract: The measurement of polarization has been studied over the last thirty years. Despite the different applied approaches, since polarization concept is complex, we find a lack of consensus about how it should be measured. This paper proposes a new approach to the measurement of the polarization phenomenon based on fuzzy set. Fuzzy approach provides a new perspective whose elements admit degrees of membership. Since reality is not black and white, a polarization measure should include this key characteristic. For this purpose we analyze polarization metric properties and develop a new risk of polarization measure using aggregation operators and overlapping functions. We simulate a sample of N = 391315 cases across a 5-likert-scale with different distributions to test our measure. Other polarization measures were applied to compare situations where fuzzy set approach offers different results, where membership functions have proved to play an essential role in the measurement. Finally, we want to highlight the new and potential contribution of fuzzy set approach to the polarization measurement which opens a new field to research on.
SN 9783030501426
SN 1865-0929
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/104427
UL https://hdl.handle.net/20.500.14352/104427
LA eng
NO Guevara, J.A., Gómez, D., Robles, J.M., Montero, J. (2020). Measuring Polarization: A Fuzzy Set Theoretical Approach. In: Lesot, MJ., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2020. Communications in Computer and Information Science, vol 1238. Springer, Cham. https://doi.org/10.1007/978-3-030-50143-3_40
NO Communications in Computer and Information Science (CCIS,volume 1238)
NO Ministerio de Ciencia, Innovación y Universidades
DS Docta Complutense
RD 10 abr 2025