基于投影及优势度的不确定语言群决策方法

中文摘要: 针对属性权重信息不完全的多粒度不确定语言多属性群决策问题，提出一种基于投影及优势度的群决策方法。该方法采用连续区间二元语义的有序加权调和平均(ITC-OWH)算子将多粒度不确定语言评价矩阵转化为二元语义决策矩阵，基于投影法构建目标规划模型，从而确定单个决策者的属性权重向量。在每个决策者之下，计算任意2个方案之间比较的综合属性优势度，根据综合优势度矩阵及决策者权重向量获得群体综合优势度矩阵,由各方案的总优势度获取方案的排序结果。最后,将提出的群决策方法应用到潜艇研制方案遴选问题中，验证了该方法的可行性与有效性。
Abstract:In order to solve the problem of multiple attribute group decision with multi-granularity uncertain linguistic assessment information,where the information of attribute weights is incomplete, a group decision making method based on projection and dominance degree was proposed. Firstly, the uncertain linguistic evaluation matrices with multi-granularity were transformed to two-tuple decision matrices according to the continuous interval two-tuple ordered weighted harmonic (ITC-OWH) operator. By using projection method, a goal programming model was set up to determine the attribute weights vector of individual decision maker.Then, under every decision makers, integrative attribute dominance degree between pairwise comparisons of arbitrary alternatives was computed, and a group integrative dominance degree matrix was obtained based on integrative dominance degree matrices and expert weight vector.The rank results were determined by integrative dominance degree of alternatives.An example of submarine design scheme selection problem showed the effectiveness and feasibility of the proposed method.