@article{10902/32316,
year = {2023},
month = {11},
url = {https://hdl.handle.net/10902/32316},
abstract = {The recently defined concept of statistical depth function for fuzzy sets provides a theoretical framework for ordering fuzzy sets with respect to the distribution of a fuzzy random variable. One of the most used and studied statistical depth functions for multivariate data is simplicial depth, based on multivariate simplices. We introduce a notion of pseudosimplices generated by fuzzy sets and propose three generalizations of simplicial depth to fuzzy sets. Their theoretical properties are analyzed and the behavior of the proposals is illustrated through a study of both synthetic and real data.},
organization = {This research was supported by grant PID2022-139237NB-I00 funded by MCIN /AEI/10.13039/501100011033 and "ERDF A way of making Europe". L. González was also supported by grant MTM2017-86061-C2-2-P funded by MCIN /AEI/10.13039/501100011033 and "ERDF A way of making Europe". For Alicia Nieto-Reyes this research was also funded by grant number 21.VP67.64662 of the "Proyectos Puente 2022" from the Spanish "Consejería de Universidades, Igualdad, Cultura y Deporte del Gobierno de Cantabria". P. Terán is also supported by the Ministerio de Ciencia, Innovación y Universidades grant PID2019-104486GB-I00 and the Consejería de Empleo, Industria y Turismo del Principado de Asturias grant GRUPIN-IDI2018-000132.},
publisher = {Elsevier},
publisher = {Fuzzy Sets and Systems, 2023, 471, 108678},
title = {Simplicial depths for fuzzy random variables},
author = {González de la Fuente, Luis and Nieto Reyes, Alicia and Terán, Pedro},
}