残缺语言判断矩阵的可能值推断及决策方法

Possible value estimation and Decision-making approach based on incomplete linguistic preference

研究了残缺语言判断矩阵的残缺元素取值范围推断方法及基于残缺语言判断矩阵的决策方法。将残缺语言判断矩阵转化为数值判断矩阵,给出矩阵的满意一致性定义;若矩阵不符合满意一致性,则对矩阵中的已知元素做出适当的修正使其符合一致性要求;同时在允许的偏差范围内求解各方案的权重,并利用可能度方法得到最后的方案排序。

The possible value range of the incomplete elements and the method of decision-making based on the incomplete linguistic judgment matrix are studied.We transform the incomplete linguistic preference judgment matrix into numerical preference judgment matrix according to given function,define the relative consistency of the matrix and analyze the relative consistency of the matrix.If not fit,we amend the known elements until the relative consistency of the matrix is fit.Still,we solve the weights in a given error to gets them in the form of interval numbers,and get the final rank with the aid of possibility degree.