TITLE:
On Multiplicative Generators of n-Dimensional Overlap Functions
AUTHORS:
Hai Xie
KEYWORDS:
n-Dimensional Overlap Functions, Overlap Functions, Multiplicative Generators
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.11,
November
4,
2020
ABSTRACT: In this paper, inspired by the multiplicative generators of overlap functions, we mainly propose the concepts of multiplicative generator pairs of n-dimensional overlap functions, in order to extend the dimensionality of overlap functions from 2 to n. We present the condition under which the pair (g, h) can multiplicatively generate an n-dimensional overlap functionOg,h. we focus on the homogeneity and idempotency property on multiplicatively generated n-dimensional overlap functions.