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Paternain, D., Bustince, H., Pagola, M., Sussner, P., Kolesrov, A. and Mesiar, R. (2016) Capacities and Overlap Indexes with an Application in Fuzzy Rule-Based Classification Systems. Fuzzy Sets and Systems, 305, 70-94.
https://doi.org/10.1016/j.fss.2015.12.021

has been cited by the following article:

• TITLE: Constructions of n-Dimensional Overlap Functions Based on Bivariate Overlap Functions

  AUTHORS: Hai Xie

  KEYWORDS: Overlap Functions, n-Dimensional Overlap Functions, Conjunction Operator

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.11, November 15, 2021

  ABSTRACT: In this paper, we firstly introduce some new results on overlap functions and n-dimensional overlap functions. On the other hand, in a previous study, Gómez et al. presented some open problems. One of these open problems is “to search the construction of n-dimensional overlapping functions based on bi-dimensional overlapping functions”. To answer this open problem, in this paper, we mainly introduce one construction method of n-dimensional overlap functions based on bivariate overlap functions. We mainly use the conjunction operator ∧ to construct n-dimensional overlap functionsbased on bivariate overlap functions and study their basic properties.