基于语言值格蕴涵代数的偏好顺序结构评估决策方法

PROMETHEE Decision Method Based on Linguistic-Valued Lattice Implication Algebra

针对具有可比性和不可比性语言值信息的决策问题,提出基于语言值格蕴涵代数(L_(V(n×2)))的多属性决策方法.讨论L_(n×2)上的语言值评价矩阵及其性质,提出L_(V(n×2))上的优先函数和格值程度差,充分考虑属性值差距信息,将格值程度差应用到择优排序上.通过语言值向量,建立语言值向量合成矩阵,处理决策问题中的多专家多属性信息.引入语言值评价矩阵加权聚合算子对语言值评价矩阵进行聚合,利用偏好顺序结构评估(PROMETHEE)决策方法的非补偿性,构建基于语言值格蕴涵代数的PROMETHEE决策模型,并通过网络商品评价实例说明文中方法的有效性和实用性.

Aiming at the problem of decision making with comparable and incomparable linguisticvalued information, a multi-attribute decision making method based on linguistic-valued lattice implication algebra（ LV（n×2）） is proposed. The linguistic-valued evaluation matrix and its properties on LV（n×2）is discussed,and the priority function and the lattice-valued difference of LV（n×2）are put forward.Taking full account of the attribute value disparity information,the lattice-valued difference is applied to the preference ranking. By utilizing the linguistic-valued vector,linguistic-valued vector synthesis matrix is constructed to deal with multi-expert multi-attribute information in decision-making problems. The linguistic-valued evaluation matrix weighted aggregation operator（ LMWAA operator） is introduced to aggregate the linguistic-valued evaluation matrix. Utilizing the noncompensatory nature of preference ranking organization method for enrichment evaluation（ PROMETHEE） decision method, a PROMETHEE decision model based on linguistic-valued lattice implication algebra is constructed. The effectiveness and practicability of the proposed method are illustrated by an example of network commodity evaluation.