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《山东大学学报(理学版)》 ›› 2026, Vol. 61 ›› Issue (2): 106-114.doi: 10.6040/j.issn.1671-9352.0.2024.375

• • 上一篇    

广义分组(重叠)函数关于三角模和三角余模的迁移性

闫欣欣,周红军*   

  1. 陕西师范大学数学与统计学院, 陕西 西安 710119
  • 发布日期:2026-02-13
  • 通讯作者: 周红军(1980— ),男,教授,博士生导师,博士,研究方向为序代数与逻辑. E-mail:hjzhou@snnu.edu.cn
  • 作者简介:闫欣欣(1995— ),女,博士研究生,研究方向为不确定性推理. E-mail:xxy06071226@163.com*通信作者:周红军(1980— ),男,教授,博士生导师,博士,研究方向为序代数与逻辑. E-mail:hjzhou@snnu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(12171292);陕西省杰出青年科学基金项目(2024JC-JCQN-01);陕西师范大学研究生领航人才培养项目(LHRCTS23059)

Migrativity of general grouping(overlap)functions over t-norms and t-conorms

YAN Xinxin, ZHOU Hongjun*   

  1. School of Mathematics and Statistics, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Published:2026-02-13

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摘要： 聚合函数的迁移性在决策分析和图像处理等方面有着广泛应用。本文以存在非平凡单位元的广义分组函数和广义重叠函数为研究对象,主要研究这两类函数关于三角模和三角余模的迁移性,刻画满足此类迁移性方程广义分组函数和广义重叠函数的结构特征。

关键词: 广义分组函数, 广义重叠函数, 三角模, 三角余模, 迁移性

Abstract: The migrativity of aggregation functions plays a pivotal role in various applications, including decision making and image processing. In this paper, we take general grouping functions and general overlap functions, which possess non-trivial neutral elements, the aim is to study the migrativity of these functions over t-norm and t-conorms, and to provide the structures of general grouping functions and general overlap functions that satisfy such migrative functional equations.

Key words: general grouping function, general overlap function, t-norm, t-conorm, migrativity

中图分类号: 

  • O159
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