@misc{10481/109601,
year = {2023},
month = {3},
url = {https://hdl.handle.net/10481/109601},
abstract = {Automatic image detection is one of the most important areas in computing due to its potential application in numerous real-world scenarios. One important tool to deal with that is called overlap indices. They were introduced as a procedure to provide the maximum lack of knowledge when comparing two fuzzy objects. They have been successfully applied in the following fields: image processing, fuzzy rule-based systems, decision making, and computational brain interfaces. This notion of overlap indices is also necessary for applications in which type-2 fuzzy sets are required. In this article, we introduce the notion of type-(2,k) overlap index (k in {0, 1, 2}) in the setting of type-2 fuzzy sets. We describe both the reasons that have led to this notion and the relationships that naturally arise among the algebraic underlying structures. Finally, we illustrate how type-(2,k) overlap indices can be employed in the setting of fuzzy rule-based systems when the involved objects are type-2 fuzzy sets.},
organization = {Junta de Andalucía, Project A-FQM-170-UGR20 (Program FEDER Andalucía 2014-2020)},
organization = {Junta de Andalucía, Project FQM-365 (Andalusian CICYE)},
organization = {Ministerio de Ciencia e Innovación, Project PID2020-119478GB-I00},
organization = {Ministerio de Ciencia e Innovación, Project PID2019-108392GB-I00 (AEI/10.13039/501100011033)},
organization = {CNPq under Grant 301618/2019-4},
organization = {FAPERGS under Grant 19/2551-0001660},
organization = {VEGA under Grant 1/0267/21},
publisher = {IEEE-Inst Electrical Electronics Engineers Inc.},
keywords = {Overlap function},
keywords = {Overlap index},
keywords = {Type-2 fuzzy set},
keywords = {Función de solapamiento},
keywords = {Índice de solapamiento},
keywords = {Conjunto difuso},
keywords = {Conjunto difuso de tipo 2},
title = {Type-(2,k) overlap indices},
doi = {10.1109/TFUZZ.2022.3188918},
author = {Roldán López de Hierro, Antonio Francisco and Roldán, Concepción and Tíscar, Miguel Ángel and Takac, Zdenko and Santiago, Regivan H.N. and Dimuro, Graçaliz P. and Fernández, Javier and Bustince, Humberto},
}