«上一篇/Previous Article|本期目录/Table of Contents|下一篇/Next Article»

《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:

期数:

2025年06期

页码:

152-157

栏目:

人工智能

出版日期:

2025-06-10

文章信息/Info

Title:

Research on Hesitant Fuzzy Rough Graph Model

文章编号:

1673-629X(2025)06-0152-06

作者:

王子健1; 2; 3; 4; 赵海兴1; 2; 3; 4; 冶忠林1; 2; 3; 4

1. 青海师范大学 计算机学院,青海 西宁 810008; 2. 青海师范大学 青海省藏文信息处理与机器翻译重点实验室,青海 西宁 810008; 3. 青海师范大学 藏语智能信息处理及应用国家重点实验室,青海 西宁 810008; 4. 青海师范大学 藏文信息处理教育部重点实验室,青海 西宁 810008

Author(s):

WANG Zi-jian1; 2; 3; 4; ZHAO Hai-xing1; 2; 3; 4; YE Zhong-lin1; 2; 3; 4

1. School of Computer Science,Qinghai Normal University,Xining 810008,China; 2. Qinghai Provincial Key Laboratory of Tibetan Information Processing and Machine Translation,Qinghai Normal University,Xining 810008,China; 3. State Key Laboratory of Tibetan I

关键词:

模糊图; 犹豫模糊图; 粗糙图; 犹豫模糊粗糙图; 多属性决策

Keywords:

fuzzy graph; hesitating fuzzy graph; rough graph; hesitantly fuzzy rough graph; multi-attribute decision making

分类号:

TP18;O159

DOI:

10.20165/j.cnki.ISSN1673-629X.2025.0033

摘要:

近年来随着犹豫模糊图决策问题受到学者们的不断关注,基于犹豫模糊图的决策模型研究已成新的热点。 考虑到粗糙集理论具有坚实的数学根基和客观的语义解释,在犹豫模糊图决策模型中融入粗糙集解决问题的思维策略,构建具有粗糙集理论无需先验知识和便捷易用特性,同时又可把犹豫模糊图决策问题转换为粗糙集上下近似计算的粗糙图模型是该文的探求动机。 针对犹豫模糊图处理复杂犹豫模糊信息多属性决策计算繁杂的情形,文中融合犹豫模糊图表达功能与粗糙集理论建模特征,深入研究了基于犹豫模糊粗糙图模型构造和多属性决策算法。 首先,根据犹豫模糊论域提出犹豫模糊粗糙图模型概念。 然后,探究了模型上、下近似算子的一些重要性质,证明了该模型的数学特性;最后,依据提出的理论模型设计出基于犹豫模糊粗糙图的多属性决策算法。 通过决策实例结果与其他文献结论相比该算法策略具有明显优势,该理论模型对于犹豫模糊复杂信息决策提供了新的方法和思路。

Abstract:

As the decision-making problems related to hesitant fuzzy graphs have continuously garnered the attention of scholars in recent years,research on decision models based on hesitant fuzzy graphs has emerged as a new hotspot. Given the solid mathematical foundation and objective semantic interpretations of rough set theory,the motivations of this paper are to integrate the thinking strategy of rough set problem-solving into the hesitant fuzzy graph decision model and construct a rough graph model that possesses the characteristics of rough set theory,such as requiring no prior knowledge and being convenient and easy to use,while converting hesitant fuzzy graph decision problems into rough set upper and lower approximation calculations. In response to the intricacies in multi-attribute decision?making calculations when handling complex hesitant fuzzy information by hesitant fuzzy graphs,we integrate the expressive function of hesitant fuzzy graphs with the modeling features of rough set theory to conduct in-depth research on the construction of a hesitant fuzzy rough graph model and multi-attribute decision-making algorithm. Firstly,the model concept of hesitant fuzzy rough graphs is proposed based on the hesitant fuzzy domain. Subsequently,some important properties of the model's upper and lower approximation operators are explored,proving the mathematical property of the model. Finally,a multi-attribute decision-making algorithm based on the proposed theoretical model is designed based on hesitant fuzzy rough graphs. Comparison between our decision instance results and the conclusions of other reports demonstrates that the proposed algorithm strategy has significant advantages. This theoretical model provides new methods and ideas for hesitant fuzzy decision-making involving complex information.

常用功能

更新日期/Last Update: 2025-06-10