基于模糊偏序关系的混合型多属性决策方法

针对权重已知且属性值为精确实数型、区间型和模糊型的混合型多属性决策问题，提出了一种基于模糊偏序关系的混合型多属性决策方法。该方法利用混合型评估值模型来描述多属性决策问题；在对属性值预处理后，通过构建混合型模糊偏序关系模型，将决策问题转化为评估关系模型；然后对偏序关系进行集结，得到全序关系，从而获取所有方案的优劣排序。算例验证了方法的有效性。计算过程表明，该方法计算简单，且避免了逼近理想解的排序方法(technique for order preference by similarity to ideal solution,TOPSIS)难以合理定义距离函数的局限性。

Hybrid multiattribute decision making based on fuzzy preference relation

An approach based on fuzzy preference relationship is proposed to solve the multiattribute decision making problem whose attributes weights are known,and attributes values include real number,interval number and fuzzy number.The approach uses a hybrid evaluation value model to describe the hybrid multiattribute decision making problem.A hybrid fuzzy preference relation model is established after pretreatment,which transforms the decision problem into an evaluation relation model;then the fuzzy preference relation is aggregated to a complete order relation,and the preference orders of all objects are obtained.The validity of the method is verified by an example.The calculation process shows that the approach can avoid the problem that it is hard to define rational distance functions in technique for order preference by similarity to ideal solution(TOPSIS)