基于可拓学的多目标开放性问题求解方法研究

曾佳子; 梁镇城; 李兴森

doi:10.12052/gdutxb.250114

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基于可拓学的多目标开放性问题求解方法研究

可拓学与创新方法 | 更新时间：2026-05-27

- 基于可拓学的多目标开放性问题求解方法研究
- The Method for Solving Multiple Criteria Ill-defined Problems Based on Extenics
- 广东工业大学学报 2025年42卷第4期页码：8-19
- 作者机构：
  
  1. 广东工业大学可拓学与创新方法研究所,广东,广州,510006
  2. 广东工业大学机电工程学院,广东,广州,510006
- 作者简介：
  
  曾佳子(1999–) ，男，硕士研究生，主要研究方向为可拓智能和开放性问题求解，E-mail：979012796@qq.com
  李兴森(1968–) ，男，教授，博士，主要研究方向为可拓学与智能创新工程等，E-mail：lixs@gdut.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(72071049);广东省自然科学基金资助项目(2024A1515011324)
- DOI：10.12052/gdutxb.250114
  中图分类号： TH122;TP18
- 纸质出版：2025
- 稿件说明：
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曾佳子, 梁镇城, 李兴森. 基于可拓学的多目标开放性问题求解方法研究[J]. 广东工业大学学报, 2025, 42(4): 8–19.

Zeng Jiazi, Liang Zhencheng, Li Xingsen. The Method for Solving Multiple Criteria Ill-defined Problems Based on Extenics[J]. 2025, 42(4): 8-19.
曾佳子, 梁镇城, 李兴森. 基于可拓学的多目标开放性问题求解方法研究[J]. 广东工业大学学报, 2025, 42(4): 8–19. DOI： 10.12052/gdutxb.250114

Zeng Jiazi, Liang Zhencheng, Li Xingsen. The Method for Solving Multiple Criteria Ill-defined Problems Based on Extenics[J]. 2025, 42(4): 8-19. DOI： 10.12052/gdutxb.250114.

摘要

随着互联网、物联网及人工智能技术的快速发展，信息呈爆发式增长。数据服务的广泛应用促使内外部环境信息的不确定性和动态性更加复杂多变。本文以单目标开放性问题求解方法为基础，将目标和领域相对确定，但因为环境的资源条件边界不确定或条件不足导致存在冲突的多个目标无法同时实现的问题定义为多目标开放性问题。提出了多目标开放性问题的初始可拓模型建立方法，综合利用拓展分析方法、可拓变换方法和优度评价方法获取实现目标的较优策略，建立了多目标开放性问题求解的一般方法步骤并绘制了流程图，最后通过案例研究验证该方法的可行性和有效性。该求解方法具有形式化、模型化、定量化等特征，可为开放性问题的智能化求解提供方法基础，进一步拓展了可拓学理论与方法的应用范围。

Abstract

With the rapid advancement of the Internet

the Internet of Things

and artificial intelligence technologies

information is experiencing exponential growth. The widespread adoption of data services has significantly increased the complexity

uncertainty

and dynamism of internal and external environments. This paper builds upon the solution methods for Single-goal Ill-defined Problems

and defines Multiple Criteria Ill-defined Problems as those in which the objectives and domains are relatively well-defined

but due to uncertain or insufficient environmental resources

conditional boundaries

or constraints

conflicts arise among the goals

making it difficult or impossible to achieve them simultaneously. To address such challenges

an initial extension model construction method is proposed for Multiple Criteria Ill-defined Problems. By integrating extensible analysis methods

extension transformation methods

and superiority evaluation methods

the approach seeks to derive optimal or near-optimal strategies for achieving the intended goals. A general procedural framework for solving Multiple Criteria Ill-defined Problems is developed

along with a flowchart that outlines the key steps. Finally

a case study is presented to demonstrate the feasibility and effectiveness of the proposed method. The solution approach is characterized by formalization

modeling

and quantification. It provides a foundational methodology for the intelligent resolution of ill-defined problems

and further extends the application scope of Extenics in addressing goal conflicts and complex decision-making scenarios.

关键词

Keywords

references

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