On Multiplicative Generators of n-Dimensional Overlap Functions

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2020-11-02 DOI:10.4236/am.2020.1111071

Hai Xie

引用次数: 0

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 function Og,h. we focus on the homogeneity and idempotency property on multiplicatively generated n-dimensional overlap functions.

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关于n维重叠函数的乘法生成

本文受重叠函数的乘法生成器的启发，主要提出了n维重叠函数的乘法生成器对的概念，以便将重叠函数的维数从2扩展到n，并给出了(g, h)对可以乘法生成n维重叠函数Og,h的条件。重点研究了乘生成n维重叠函数的齐次性和幂等性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.