基于方案偏好值的属性关联区间多属性决策

Interval Multiple Attribute Decision Making Approach with Interacting Attributes Based on Preference Value of Alternatives

针对属性值为区间数,属性权重完全未知,但给出方案的主观偏好值,部分属性偏好关系以及属性交互类型的属性关联多属性决策问题给出决策方法.首先建立期望值目标规划模型,确定出属性集的M(o|¨)bius表达式以及属性权重,然后利用扩展的区间Choquet积分算子对决策信息进行集结,计算出各方案的区间模糊综合评价值,再利用比较区间数的期望值方法,从而得到方案的最终排序.最后给出了分析实例以说明所提出方法的有效可行性.

A method is proposed to solve the multiple attribute decision making problems with interacting attributes, in which the attribute values are interval numbers, the attribute weights are unknown completely, the preference value over alternatives, the partial preference relation over attributes and the type of interaction over pairs of attributes is known. First, An expected value goal programming model is constructed to assess the MSbius representation of the fuzzy measure and the attribute weights. Then, the extension of interval Choquet integral operator is utilised to assemble the decision information, and compute the interval fuzzy overall values of each alternative. What＇s more, the expected value method of comparing interval number is used to obtain the final ranking of the alternatives. Finally, a numerical example is provided to verify the effectiveness and feasibility of the method.