考虑风险偏好的区间2型模糊多属性决策方法

发布时间：2018-01-24 09:03

本文关键词： 多属性决策风险偏好可能度区间型模糊集区间型梯形模糊集　出处：《系统工程理论与实践》2017年02期 　论文类型：期刊论文

【摘要】：针对区间2型梯形模糊集(IT2TrFS)的多属性决策问题,提出了一种考虑决策者风险偏好的多属性决策方法.首先根据决策者的风险偏好给决策者分类,提出了决策者风险偏好的度量方法,进而求得决策者风险偏好决策矩阵,并定义了新的可能度计算公式:最后通过计算符号距离得到方案的排序结果.实例分析表明该方法科学合理,决策者的不同风险偏好对决策结果存在影响,方法对比说明与已有算法相比该方法有更强的适用性:对风险偏好和风险保守的决策者同样适用.
[Abstract]:For the multi-attribute decision making problem of interval 2 type trapezoidal fuzzy set IT2TrFS). In this paper, a multi-attribute decision making method considering the risk preference of decision makers is proposed. Firstly, according to the risk preference of the decision makers, the risk preference of the decision makers is classified and the measurement method of the risk preference of the decision makers is proposed. Then the decision matrix of decision makers' risk preference is obtained, and a new formula for calculating possibility degree is defined. Finally, the ranking result of the scheme is obtained by calculating the symbolic distance. The example analysis shows that the method is scientific and reasonable. Different risk preferences of decision makers have an impact on the decision results. The comparison of the methods shows that this method is more applicable than the existing algorithms: it is also applicable to the decision makers with risk preference and risk conservatism.
【作者单位】：东北大学工商管理学院;东北大学秦皇岛分校;
【基金】：国家自然科学基金(71401027) 河北省社会科学基金(HB16GL003) 中央高校基本科研业务费(N152303006)~~
【分类号】：C934
【正文快照】： 决策面临决策环境变得越来越复杂,决策信息也是越来越不确定,备选方案在各属性下所测量数据的表示形式很难是确定数.1965年,ZadehW提出模糊集(type-1 fuzzy sets,T1FS)理论,从此模糊集理论被广泛应用于多属性决策问题中.但模糊集无法解决隶属度不确定性的问题,于是Zadeli晸又

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