基于犹豫模糊集的交叉效率群决策方法
发布时间：2018-12-27 14:25
【摘要】：在社会活动中,往往需要对同类的决策单元进行评价或排序,从中选择最优方案。通常情况下,由于决策会涉及到多个属性,这些属性都是能够影响到我们判断的不可忽略的重要因素时,就会造成了决策的复杂性。对于多投入多产出的决策单元的排序问题,交叉效率通过线性规划,综合考虑测算得到的自评效率值和他评效率做出评价。但是如何处理模型中的多重最优解造成的问题,一直都是该领域的研究热点。另一方面,犹豫模糊集的出现,能够允许属性值以多个互不干扰的隶属度,同时独立存在,为综合考虑多重最优解的决策信息提供了一种新的视角。在二者的基础上,提出了基于犹豫模糊集的交叉效率群决策方法。研究的关键问题是在犹豫模糊集的基础上,如何构建群决策交叉效率矩阵,以及根据该矩阵,如何对决策单元进行排序。主要工作进展如下:1、研究了犹豫模糊集构成的交叉效率矩阵下,决策单元的排序问题。方法Ⅰ:将问题转化为群决策问题,将改进的进取型、进取型、中立性、仁慈型和改进的仁慈型这五个经典模型代表从悲观到乐观过渡的五名专家,得到5组判断决策单元有效性的隶属度,将犹豫模糊集引入到交叉效率矩阵中;在交叉效率矩阵中,引入多目标属性权重优化方法,计算效率值的属性权重;根据决策单元与正负理想决策单元的贴近度,进而对决策单元排序。2、为了直观地反应决策单元的综合效率值,对方法Ⅰ进行了改进,提出了一种基于决策者风险态度的交叉效率群决策方法(方法Ⅱ)。该方法充分利用数据信息,从决策单元整体和局部两个角度考虑,将区间犹豫模糊集引入交叉效率,为避免极端值影响决策,引入风险态度因子,通过潜在信息函数求出各效率值的权重,得到综合效率值作为评价结果。3、实证分析。通过前面提到的方法Ⅱ,对中部六省的区域创新效率进行研究,分析“十一五”期间和“十二五”期间各省的创新效率状况以及变动情况。本文针对交叉效率的多重最优解,引入犹豫模糊集,研究了基于犹豫模糊集的交叉效率群决策方法,并对中部六省的区域创新效率进行了实证分析,为交叉效率理论研究提供了新的方向。
[Abstract]:In social activities, it is often necessary to evaluate or rank the same decision making units, and select the best scheme from them. Usually, because of the multiple attributes involved in decision making, these attributes are important factors that can influence our judgment, which will lead to the complexity of decision making. For the ranking problem of decision making units with multiple inputs and outputs, the cross efficiency is evaluated by linear programming, and the self-evaluation efficiency and the other evaluation efficiency are considered synthetically. However, how to deal with the problem caused by multiple optimal solutions in the model has always been a hot topic in this field. On the other hand, the emergence of hesitant fuzzy sets allows attribute values to exist independently with multiple non-interference degrees of membership, which provides a new perspective for decision information considering multiple optimal solutions. Based on the two methods, a method of cross-efficiency group decision making based on hesitant fuzzy sets is proposed. The key problem of the study is how to construct the cross-efficiency matrix of group decision making based on the hesitant fuzzy set and how to sort the decision units according to the matrix. The main works are as follows: 1. The scheduling problem of decision units under the cross efficiency matrix of hesitant fuzzy sets is studied. Method I: transform the problem into a group decision making problem. The five classical models of improved enterprising, neutral, merciful and improved benevolent type represent five experts in the transition from pessimism to optimism. Five groups of membership degrees are obtained to determine the validity of Decision-making units, and the hesitant fuzzy sets are introduced into the cross-efficiency matrix. In the cross-efficiency matrix, the multi-objective attribute weight optimization method is introduced to calculate the attribute weight of the efficiency value. According to the degree of closeness between the decision making unit and the positive or negative ideal decision making unit, the decision making unit is sorted. 2. In order to directly reflect the comprehensive efficiency value of the decision making unit, the method I is improved. A method of cross-efficiency group decision making based on decision makers' risk attitude is proposed (method 鈪，
本文编号：2393208
[Abstract]:In social activities, it is often necessary to evaluate or rank the same decision making units, and select the best scheme from them. Usually, because of the multiple attributes involved in decision making, these attributes are important factors that can influence our judgment, which will lead to the complexity of decision making. For the ranking problem of decision making units with multiple inputs and outputs, the cross efficiency is evaluated by linear programming, and the self-evaluation efficiency and the other evaluation efficiency are considered synthetically. However, how to deal with the problem caused by multiple optimal solutions in the model has always been a hot topic in this field. On the other hand, the emergence of hesitant fuzzy sets allows attribute values to exist independently with multiple non-interference degrees of membership, which provides a new perspective for decision information considering multiple optimal solutions. Based on the two methods, a method of cross-efficiency group decision making based on hesitant fuzzy sets is proposed. The key problem of the study is how to construct the cross-efficiency matrix of group decision making based on the hesitant fuzzy set and how to sort the decision units according to the matrix. The main works are as follows: 1. The scheduling problem of decision units under the cross efficiency matrix of hesitant fuzzy sets is studied. Method I: transform the problem into a group decision making problem. The five classical models of improved enterprising, neutral, merciful and improved benevolent type represent five experts in the transition from pessimism to optimism. Five groups of membership degrees are obtained to determine the validity of Decision-making units, and the hesitant fuzzy sets are introduced into the cross-efficiency matrix. In the cross-efficiency matrix, the multi-objective attribute weight optimization method is introduced to calculate the attribute weight of the efficiency value. According to the degree of closeness between the decision making unit and the positive or negative ideal decision making unit, the decision making unit is sorted. 2. In order to directly reflect the comprehensive efficiency value of the decision making unit, the method I is improved. A method of cross-efficiency group decision making based on decision makers' risk attitude is proposed (method 鈪，
本文编号：2393208
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