属性值为区间数的决策对象相对可能度关系模型及其应用

对于属性权重未知的区间数型不确定多属性决策问题,首先在界定区间数相对可能度的基础上给出区间数比较相对可能度关系理论,并得到一些相关性质;其次借鉴离差最大化模型算法建立基于比较相对可能度关系确定属性权重的区间数型决策对象相对可能度关系模型(IN-DMORPRM);然后通过集结与融合供选决策对象间两两优势比较测定出的相对可...

Relative possibility relation model for decision making objects with multiple attribute values as interval number and its application

For the interval number-based uncertain multiple attribute decision making problem with unknown attribute weights, firstly, based on the definition of relative possibility degree of interval number, the comparative relative possibility relation theory of interval number is proposed, and some related properties are obtained. Secondly, the interval number-based decision making object relative possibility relation model (IN-DMORPRM) to determine the attribute weight based on comparative relative possibility relation is established by drawing lessons from the idea of the algorithm of maximizing deviation models. Then, by aggregating and fusing the information of the relative possibility degree relation matrix measured by the superiority comparison in pairs between the decision making objects, the value of overall relative possibility degree of each decision making object is obtained, and the selection and judgment of the advantages and disadvantages of the objects set for selecting are carried out, so as to propose a new model algorithm for the relative possibility degree relation of interval number-based multi-attribute decision making objects. Finally, an numerical example is used to verify the effectiveness and practicability of the model algorithm.