摘要： 针对混合型决策中不同类型属性值无法有效保留其不确定信息的问题,根据不确定原理,将联系数的D-U空间理论引入到混合型多属性决策问题中,提出一种基于D-U 空间的混合型多属性决策方法。将确定性与不确定视为一个整体,提出不同类型属性值在D-U 空间中的映射转换法则,使得不同类型属性值在空间中得以统一量化,并明确属性中的不确定信息,避免不确定信息丢失而造成的决策偏差。在决策过程中,通过计算空间中属性向量的模和幅角的值进行方案选择,以描述各方案的稳定性,使排序准则具有直观的意义。通过2 个算例验证了该方法的适用性和实用性。
关键词:
混合型多属性决策,
集对分析,
D-U 空间,
联系数,
模糊数,
不确定性
Abstract: Aiming at the problem that different types of attribute value can not keep the uncertain information
effectively in the hybrid decision,according to the principle of uncertainty,this paper introduces the Determination-Uncertain(D-U) space theory of connection number into the hybrid multiple attribute decision making problems,and a new method of hybrid multiple attribute decision making is proposed. It treats determine and uncertain as a whole,puts forward the rules of different types of attribute values mapping to D-U space,makes the different types of attribute values in the space unify quantification and defines uncertain information of attributes,to avoid decision-making biases caused by the loss the uncertain information. In decision-making process,it chooses alternatives by calculating the value of norm and argument of attribute vector in the space to describe the stability of all the alternatives intuitively and makes sorting criterion have an intuitive sense. Finally,the suitability and practicability of the method are proved through two examples.
Key words:
hybrid multiple attribute decision making,
set pair analysis,
Determination-Uncertain ( D-U ) space,
connection number,
fuzzy number,
uncertainty
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