不同直觉偏好信息下的多属性决策方法

研究了属性值为实数且决策者对属性的偏好信息以直觉判断矩阵或残缺直觉判断矩阵给出的模糊多属性决策问题.首先介绍了直觉判断矩阵、一致性直觉判断矩阵、残缺直觉判断矩阵、一致性残缺直觉判断矩阵等概念,而后分别考虑关于直觉判断矩阵和残缺直觉判断矩阵的多属性决策问题,接着建立了基于直觉判断矩阵和残缺直觉判断矩阵的多属性群决策模型,通过求解这些模型获得属性的权重.进而给出了不同直觉偏好信息下的多属性决策方法.最后通过一个例子说明了该方法的可行性和实用性.

Approaches to Multiple Attribute Decision Making with Different Intuitionistic Preference Information

The fuzzy multiple attribute decision making problems are invested,in which the attribute values are given as real numbers and the preference information on attributes can be provided by decision maker.For the situations where the preference information on attributes is expressed in the form of intuitionistic judgment matrix or incomplete intuitionistic judgment matrix.Some concepts,such as intuitionistic judgment matrix,consistent intuitionistic judgment matrix,incomplete intuitionistic judgment matrix,and consistent incomplete intuitionistic judgment matrix,are introduced.Then two models are established for multiple attribute decision making based on intuitionistic judgment matrix and incomplete intuitionistic judgment matrix,respectively,and a model is established for multiple attribute group decision making based on intuitionistic judgment matrices and incomplete intuitionistic judgment matrices,from which the attribute weights can be derived,futher more,an approach to multiple attribute decision making with different intuitionistic preference information is proposed.Finally,a numerical example is used to illustrate the feasibility and practicality of the proposed method.