A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic Amo, Enrique de Dáiz Carrillo, Manuel Fernández Sánchez, Juan Singular function Hausdorff dimension Katok foliation Strong negation We study a parameterized family of singular functions which appears in a paper by H. Okamoto and M. Wunsch (2007). Various properties are revisited from the viewpoint of fractal geometry and probabilistic techniques. Hausdorff dimensions are calculated for several sets related to these functions, and new properties close to fractal analysis and strong negations are explored. 2017-03-09T11:43:25Z 2017-03-09T11:43:25Z 2016 info:eu-repo/semantics/article Amo, E.; Díaz Carrillo, M.; Fernández Sánchez, J. A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic. Open Mathematics, 14: 1030-1052 (2016). [http://hdl.handle.net/10481/45164] 2391-5455 http://hdl.handle.net/10481/45164 10.1515/math-2016-0094 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License De Gruyter Open