基于区间值模糊冲突表的三支冲突分析-陕西师范大学学报期刊社网站

陕西师范大学学报（自然科学版）

模糊数学与模糊系统专题

基于区间值模糊冲突表的三支冲突分析

常月1,2,王振1,2,任睿思1,2,魏玲1,2,3*

（1 西北大学数学学院，陕西西安 710127；2 西北大学概念、认知与智能研究中心，陕西西安 710127；3 闽南师范大学数学与统计学院，福建漳州 363000）

魏玲，女，教授，博士生导师，主要研究方向为形式概念分析、粗糙集、三支决策、粒计算。E-mail: wl@nwu.edu.cn

摘要:

结合实际语义，研究基于区间值模糊冲突表的三支冲突分析。首先，定义区间值模糊冲突表，分别给出基于单议题和多议题上的冲突集、中立集和联盟集，并据此做出决策。其次，提出议题损失函数的乐观、悲观聚合方式，给出一种基于决策粗糙集理论计算阈值的方法。最后，通过例子分析了上述定义的两种损失函数聚合方式下得到的冲突分析结果。

关键词：

三支决策；冲突分析；区间值模糊冲突表

收稿日期：

2022-07-20

中图分类号：

O29;TP18

文献标识码：

文章编号：

1672-4291(2023)01-0078-09

基金项目：

国家自然科学基金（12171392, 62006190)

Doi:

10.15983/j.cnki.jsnu.2023113

Three-way conflict analysis based on interval-valued fuzzy conflict situation

CHANG Yue1,2, WANG Zhen1,2, REN Ruisi1,2, WEI Ling1,2,3*

（1 School of Mathematics, Northwest University, Xian 710127,Shaanxi, China;2 Institute of Concepts, Cognition and Intelligence, Northwest University, Xian 710127, Shaanxi, China；3 School of Mathematics and Statistics, Minnan Normal University,Zhangzhou 363000, Fujian, China）

Abstract:

Conflict exists in various aspects of human society, and most peoples attitude towards conflict is not clear acceptance or rejection.In order to discuss conflict more intuitively, combined with practical semantic, the three-way conflict analysis based on interval-valued fuzzy conflict situation is studied. Firstly, the interval-valued fuzzy conflict situation is defined, and then conflict set, neutrality set and alliance set are given based on single issue and multiple issues respectively, which can help us make decisions. Secondly, the optimistic and pessimistic aggregation methods of loss function are proposed, and a threshold calculation method based on decision-theoretic rough set theory is introduced. Finally, an example is displayed to show the results of conflict analysis based on two aggregation functions defined in this paper.

KeyWords:

three-way decision; conflict analysis; interval-valued fuzzy conflict situation