On Multiplicative Generators of n-Dimensional Overlap Functions

• 作者: Hai Xie
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: n-Dimensional Overlap Functions Overlap Functions Multiplicative Generators
• 年，卷（期）: 2020,（11）
• 页码范围: 1061-1069
• 页数: 9页
• 分类号: O17

摘要

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 (<strong>g, h</strong>) can multiplicatively generate an n-dimensional overlap function <em><strong>O</strong></em>_{<strong>g,h</strong>}<strong>.</strong> we focus on the homogeneity and idempotency property on multiplicatively generated n-dimensional overlap functions.