TITLE:
The Additive Generators of n-Dimensional Overlap Functions
AUTHORS:
Hai Xie
KEYWORDS:
Overlap Functions, n-Dimensional Overlap Functions, Additive Generators, Additive Generator Pair
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.8,
August
31,
2021
ABSTRACT: In this paper, we introduce the concepts of additive generators and additive generator pair of n-dimensional overlap functions, in order to extend the dimensionality of overlap functions from 2 to n. We mainly discuss the conditions under which an n-dimensional overlap function can be expressed in terms of its generator pair.