属性值为区间数的决策对象相对相似规划模型

对于属性值是区间数的不确定多属性决策问题,首先在界定区间数相对相似度的基础上给出两种新的供选决策对象Max型与Min型相对相似度定义,提出区间数相对相似度与比较优势关系理论并得到一些优良性质关系和结论;其次借鉴合作博弈中可能度最大化算法构建一种确定属性权重向量的区间数型决策对象相对相似规划模型,通过集结所有决策对象比较的总体相对相似度值便于对方案对象集进行优劣筛选和次序排定,以此得到一种新的区间数多属性决策对象的相对相似规划模型算法;最后通过算例分析说明该算法的可行性和实用性.

Relative similarity programming model for decision making objects with multiple criteria values as interval number

For the problem of uncertain multiple criteria decision making (UMCDM) of which the attribute value is interval number, two new type definition of the Max-relative and Min-relative similarity degree of decision-making alternatives for the election is given based on defying the relative similarity degree of interval number, firstly, the relative similarity degree and comparative advantage relation theories of interval number are put forward, and some good properties, relations and conclusions are derived. Secondly, by using the idea of maximizing possibility degree algorithm rules in the cooperative game theory, an interval number-based decision making object relative similarity programming model to determine the attribute weight vector is constructed. Then by aggregating the comparison overall relative similarity degree values of all decision-making objects, it is convenient to select and schedule the set of alternative objects, and obtain a new model algorithm for the relative similarity programming of interval number-based multiple criteria decision making objects. Finally, an example is given to illustrate the feasibility and practicability of the model algorithm proposed in this paper.