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《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (5): 55-70.doi: 10.6040/j.issn.1671-9352.0.2019.460

• • 上一篇    

一类S-一致模与几种聚合算子间的模方程

赵卫利,周红军*   

  1. 陕西师范大学数学与信息科学学院, 陕西 西安 710119
  • 发布日期:2020-05-06
  • 作者简介:赵卫利(1994— ), 女, 硕士研究生, 研究方向为不确定性推理. E-mail:zhaoweili2013@snnu.edu.cn*通信作者简介:周红军(1980— ), 男, 教授, 博士生导师, 研究方向为序代数与逻辑、不确定性推理. E-mail:hjzhou@snnu.edu.cn
  • 基金资助:
    陕西省青年科技新星计划资助项目(2016KJXX-24)

Modularity equations between a class of S-uninorms and several commonly-used aggregation operators

ZHAO Wei-li, ZHOU Hong-jun*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Published:2020-05-06

摘要: 以模糊逻辑和模糊决策为理论基础, 研究一类S-一致模分别与一致模、t-算子、S-一致模、T-一致模间的模方程,给出这些聚合算子满足模方程的结构刻画并且,T-一致模关于S-一致模满足模方程的结构刻画部分推广2-一致模模方程的结构刻画。

关键词: 模方程, S-一致模, T-一致模, t-算子, 一致模

Abstract: Based on the fuzzy logic theory and fuzzy decision, the present paper focuses on the modularity equations between one class of S-uninorms and several aggregation operators such as uninorms, t-operators, S-uninorms and T-uninorms, and gives structural characterizations of these aggregation operators satisfying modularity equations. Moreover, the structural characterizations between T-uninorms and S-uninorms satisfying the modularity equations partially generalize the structural characterizations of 2-uninorms.

Key words: modularity equation, S-uninorm, T-uninorm, t-operator, uninorm

中图分类号: 

  • O142
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