越览（97）——精读硕士论文的1.1研究背景及意义、1.2应用前景

摘要：This issue of tweets will introduce the research background and significance and application prospects of the master's thesis "Res

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“越览（97）——精读硕士论文

《基于不完备信息系统的多属性模糊决策方法研究》

的1.1研究背景及意义及1.2应用前景”。

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Today, the editor brings you

"Yuelan (97): Intensive reading of the master's thesis

"1.1 Research background and significance

and 1.2 Application prospects of

multi-attribute fuzzy decision-making

methods based on incomplete

information systems"".

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一、内容摘要（Summary of content）

本期推文将从思维导图、精读内容、知识补充三个方面介绍硕士论文《基于不完备信息系统的多属性模糊决策方法研究》的1.1研究背景及意义及1.2应用前景。

This issue of tweets will introduce the research background and significance and application prospects of the master's thesis "Research on Multi-Attribute Fuzzy Decision-making Method Based on Incomplete Information System" from three aspects: mind map, intensive reading content, and knowledge supplement.

二、思维导图（Mind mapping）

三、精读内容（Intensive reading content）

（一）研究背景及意义（Research background and significance）

1. 研究背景（Background）

本部分作者首先介绍了研究背景：在信息时代，决策广泛应用于政策、军事、金融和医疗等领域，但随着数据规模增长和信息复杂化，处理不完备和模糊信息成为决策科学的重要挑战。现有多属性决策方法多假设信息完备，但实际问题常存在信息缺失和模糊性。粗糙集理论和三支决策模型在处理不完备信息方面具有优势，但其在多属性决策中的应用仍存在不足。

In this section, the author first introduces the research background: In the information age, decision-making is widely used in policy, military, finance, and medical fields. However, with the growth of data scale and the complexity of information, processing incomplete and ambiguous information has become an important challenge for decision science. Existing multi-attribute decision-making methods mostly assume that information is complete, but practical problems often have information missing and ambiguity. Rough set theory and three-branch decision model have advantages in processing incomplete information, but their application in multi-attribute decision-making is still insufficient.

模糊模式识别因其在大数据处理中的优势，已广泛应用于工业、农业和医疗领域，但将其与不完备信息系统结合以解决多属性决策问题的研究较少。本文旨在利用模糊模式识别的优势，应对不完备信息系统中的多属性决策问题，提升决策的科学性和实用性。

Fuzzy pattern recognition has been widely used in industry, agriculture and medical fields due to its advantages in big data processing, but there are few studies on combining it with incomplete information systems to solve multi-attribute decision-making problems. This paper aims to use the advantages of fuzzy pattern recognition to deal with multi-attribute decision-making problems in incomplete information systems and improve the scientificity and practicality of decision-making.

2. 研究意义（Research significance）

The author points out three research significances of this article:

（1）填补理论空白：本文提出基于不完备信息系统的模糊多属性决策方法，丰富了信息系统和不完备信息系统下的多属性决策理论，具有重要的学术价值和实践潜力。

(1) Filling the theoretical gap: This paper proposes a fuzzy multi-attribute decision-making method based on incomplete information systems, which enriches the multi-attribute decision-making theory under information systems and incomplete information systems and has important academic value and practical potential.

（2）方法简洁灵活：利用模糊模式识别的特点，通过容差关系和众数补足法，构建适用于不完备信息系统的决策方案集，同时优化属性权重确定方式，有效降低因信息缺失导致的决策误差。

(2) The method is simple and flexible: By utilizing the characteristics of fuzzy pattern recognition, through tolerance relationship and majority complement method, a decision-making solution set suitable for incomplete information systems is constructed. At the same time, the attribute weight determination method is optimized to effectively reduce the decision-making error caused by missing information.

（3）体现决策者偏好：结合行为决策与前景理论，增强决策模型对决策者偏好的表达能力，为不完备信息系统中的多属性决策提供更具实际意义的支持。

(3) Reflecting decision maker preferences: Combining behavioral decision-making with prospect theory, the decision model can enhance its ability to express decision maker preferences and provide more practical support for multi-attribute decision-making in incomplete information systems.

本文提出的基于不完备信息系统与模糊模式识别相结合的多属性决策方法，具有广泛的应用前景。首先，该方法能够有效处理包含模糊信息的不完备信息系统决策问题，适用于医疗判断、建筑工程、人才选拔等领域。此外，该方法仍能有效支持传统模糊模式识别方法在农业选种、水利工程、工业冶金等领域的应用，从而确保了在不同领域的决策和评价效果。

The multi-attribute decision-making method based on the combination of incomplete information system and fuzzy pattern recognition proposed in this paper has broad application prospects. First of all, this method can effectively deal with the decision-making problems of incomplete information systems containing fuzzy information, and is suitable for medical judgment, constructionengineering, talent selection and other fields. In addition, this method can still effectively support the application of traditional fuzzy pattern recognition methods in agricultural seed selection, water conservancy engineering, industrial metallurgy and other fields, thereby ensuring the decision-making and evaluation effects in different fields.

其次，结合模糊模式识别与不完备信息系统的方法，能够增强决策过程的灵活性，使决策者能够更好地考虑多种影响因素，从而提升决策质量。这种方法不仅能应对传统决策问题，也能够在处理更复杂的情境时，提供更全面的解决方案。

Secondly, the combination of fuzzy pattern recognition and incomplete information system methods can enhance the flexibility of the decision-making process, allowing decision makers to better consider multiple influencing factors, thereby improving the quality of decision-making. This method can not only deal with traditional decision-making problems, but also provide more comprehensive solutions when dealing with more complex situations.

最后，本文的研究有助于拓展不完备信息决策的科学方法和理论体系，推动其在更多实际应用中的发展和完善。随着理论体系的不断丰富，这一方法将在多个领域展现出巨大的应用潜力，为实际问题提供更加精准和高效的决策支持。

Finally, the research in this paper helps to expand the scientific methods and theoretical system of decision-making with incomplete information and promote its development and improvement in more practical applications. With the continuous enrichment of the theoretical system, this method will show great application potential in many fields and provide more accurate and efficient decision-making support for practical problems.

四、知识补充（Knowledge supplement）

三支决策方法是一种基于信息系统中的决策理论，特别适用于处理不完备信息和模糊信息的决策框架。其核心思想是通过引入“决策空间”的三种状态（或分类）来增强决策过程的灵活性和适应性。这三种状态通常包括：

The three-branch decision method is a decision-making theory based on information systems, which is particularly suitable for decision-making frameworks that deal with incomplete information and fuzzy information. Its core idea is to enhance the flexibility and adaptability of the decision-making process by introducing three states (or classifications) of the "decision space". These three states usually include:

接受区域：在此区域内，决策结果被认为是“可接受”的。这意味着在这些情况下，决策者可以肯定地做出决策，不需要进一步的信息或判断。

Acceptance Zone: Within this zone, decision outcomes are considered “acceptable.” This means that in these cases, the decision maker can make a decision with certainty and no further information or judgment is needed.

拒绝区域：在此区域内，决策结果被认为是“不可接受”的。这意味着基于当前的信息或条件，决策者可以排除这些选项。

Rejection zone: In this zone, decision outcomes are considered “unacceptable.” This means that based on current information or conditions, the decision maker can rule out these options.

不确定区域：这一区域表示信息不完备或模糊，决策者无法明确做出接受或拒绝的判断，因此需要进一步的信息或分析来帮助决策。

Uncertain area: This area indicates that the information is incomplete or ambiguous, and the decision maker cannot make a clear judgment of acceptance or rejection, so further information or analysis is needed to help make the decision.

三支决策方法最早由Yao等学者提出，它结合了粗糙集理论，特别是在处理不完备和不确定信息时，提供了一种更为灵活的决策方式。与传统的二元决策方法（如“是/否”决策）相比，三支决策方法通过引入不确定性区域，能够更好地模拟现实中的复杂决策情境，其中信息不完全或具有模糊性。

The three-way decision method was first proposed by scholars such as Yao. It combines rough set theory and provides a more flexible way of making decisions, especially when dealing with incomplete and uncertain information. Compared with traditional binary decision methods (such as "yes/no" decisions), the three-way decision method can better simulate complex decision-making situations in reality, where information is incomplete or ambiguous, by introducing uncertainty regions.

这种方法在处理多属性决策、模糊决策等问题时，特别适用于无法完全确定决策结果的场景，它能够帮助决策者在不完全或模糊的信息环境中做出更加合理的判断。

This method is particularly suitable for scenarios where the decision results cannot be fully determined when dealing with problems such as multi-attribute decision-making and fuzzy decision-making. It can help decision makers make more reasonable judgments in incomplete or ambiguous information environments.

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