国家自然科学基金(60975052); 福建省软科学项目(2019R0094); 福建省社会科学规划项目(FJ2018B031, FJ2019B101); 厦门理工学院高层次人才引进项目(YKJ17004R)
Xiamen University of Technology
National Natural Science Foundation of China(60975052); Soft Science Project Foundation of Fujian Province(2019R0094); Social Science Planning Project Foundation of Fujian Province(FJ2018B031, FJ2019B101); The Scientific Research Foundation of Xiamen University of Technology(YKJ17004R)
For the interval number-based uncertain multiple attribute decision making problem with unknown attribute weights, firstly, based on the definition to 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 algorithm rules of maximizing deviation model. Then, by aggregating and fusing the information of the relative possibility degree relation matrix which 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 to selecting are carried out. A new model algorithm for the relative possibility degree relation of interval number-based multi-attribute decision making objects is so as to given. Finally, an numerical example is used to verify the effectiveness and practicability of the model algorithm.