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.