基于语言软集的评价指标集有差异的群决策方法研究

发布时间：2018-04-13 20:05

本文选题：语言软集 + 语言评价信息　；参考：《东北大学》2014年硕士论文

【摘要】：评价指标集有差异的群决策是指针对各决策者考虑不同评价指标集给出的评价信息,通过将其集结为群体综合偏好信息,并依此进行备选方案的排序或择优。在一些现实的群决策问题中,决策者们常常来自不同的组织或部门,而且受知识结构、思维方式和个人偏好等因素的影响,他们所熟悉的评价指标也会有所不同,表现为每个组织或部门的决策者在进行方案评价时只关注自己所偏好的评价指标集。评价指标集有差异的群决策问题广泛存在于社会、工程及经济等领域,然而与之相关的研究却不多见,尤其是当决策者给出的评价信息为模糊语言形式的情形。基于此,本文有必要对评价指标集有差异的基于语言评价信息的群决策问题进行提炼,并给出相应的评价信息集结方法和决策方案排序方法。本文主要完成了以下三个方面的研究工作：(1)给出语言软集的定义与运算方法。对于决策者给出的评价信息为模糊语言形式的情形,在模糊软集理论的基础上,给出能够对语言评价信息进行分析和处理的语言软集的相关理论,具体给出了语言软集的相关定义、基本运算和性质。(2)给出评价指标集有差异的基于语言评价信息的群决策方法。针对评价指标集有差异的基于语言评价信息的群决策问题,在语言软集及其算子的基础上,给出了一种评价指标集有差异的基于语言评价信息的集结方法和决策方案排序方法。(3)实例分析。以G公司的人员招聘问题为例,说明评价指标集有差异的基于语言评价信息的群决策方法的应用过程。通过运用基于语言软集的评价指标集有差异的信息集结方法和决策方案排序方法,对G公司的人员招聘问题进行合理化解决,以验证方法的可行性和有效性。在论文最后,总结本文的主要研究成果及相关结论,同时指出本文的主要贡献和存在的局限,并对进一步需要开展的研究工作进行展望。
[Abstract]:Group decision making (GDM) with different evaluation index sets refers to the evaluation information given by different evaluation index sets considered by the decision makers, which can be assembled into group comprehensive preference information, and according to which the alternatives can be sorted or selected.In some real group decision making problems, the decision makers often come from different organizations or departments, and are influenced by the knowledge structure, the way of thinking and personal preferences, and so on.It is shown that the decision makers of each organization or department only pay attention to the evaluation index set which they prefer when carrying out the evaluation of the project.The problem of group decision making with different evaluation index sets exists widely in the fields of society, engineering and economy. However, there are few researches related to it, especially when the evaluation information given by decision makers is in the form of fuzzy language.Therefore, it is necessary for this paper to refine the problem of group decision making based on linguistic evaluation information with different evaluation index sets, and give the corresponding aggregation method of evaluation information and the ranking method of decision scheme.In this paper, the following three aspects of the research work are completed: 1) the definition and operation method of the soft set of language are given.For the case that the evaluation information given by the decision maker is in the form of fuzzy language, on the basis of fuzzy soft set theory, the relevant theory of language soft set which can analyze and process the evaluation information of language is given.In this paper, the definition of language soft set, the basic operation and properties of soft set are given. (2) A group decision method based on linguistic evaluation information is given, in which the evaluation index set is different.Aiming at the problem of group decision making based on linguistic evaluation information, based on the soft set of language and its operators, the evaluation index set is different.In this paper, a method of aggregation based on linguistic evaluation information and a method of ranking decision schemes based on different evaluation index sets are presented.Taking the recruitment problem of G Company as an example, this paper illustrates the application process of a group decision method based on linguistic evaluation information with different evaluation index sets.In order to verify the feasibility and validity of the method, the information aggregation method based on soft set and the ranking method of decision scheme are used to rationalize the recruitment problem of G company.At the end of this paper, the main research results and related conclusions are summarized, the main contributions and limitations of this paper are pointed out, and the future research work is prospected.
【学位授予单位】：东北大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：F426.6;F272.92

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