摘要
（１）研究了多属性决策的属性理论，即综述了现有的五类属性的规范化方法，并提出新的规范化方法；提出一类新属性（偏离区间型），并给出它的规范化方法。获得结论：偏离区间型属性是偏离型属性的推广，偏离型属性是效益型属性的推广，区间型属性是固定型属性的推广，固定型属性是成本型属性的推广。最后对所给出的规范化方法的使用进行了说明。（２）把只含效益型和成本型的多属性决策问题的解的概念进行拓展，使其对效益型、成本型、固定型、区间型、偏离型和偏离区间型这六种属性都存在的多属性决策问题仍然适用，证明了拓广后的解仍保持它们之间原有的关系不变。
(1) The theories on attributes for MADM is studied: The methods for normalizing the existing five kinds of attributes are reviewed, and new methods for normalizing them are given.A new kind of attribute (called 'deviation interval') is proposed, and methods for normalizing it is presented.By studying the relationships between these six kinds of attributes, we get the conclusion that: the deviation interval attribute is a generalization for the deviating attribute,the deviating attribute is a generalization for the profit attribute, the interval attribute is a generalization for the fixation attribute, the fixation attribute is a generalization for the cost attribute.Finally, the usage of all these given methods for normalizing the six kinds of attributes is stated.(2) The theories on solutions for MADM is studied:The five widely used concepts of solutions only suitable for the MADM problem with only profit and cost attributes are generalized in order to be applied to a MADM problem with six kinds of attributes (profit, cost, fixation, interval, deviation, and deviating interval attributes).The relationships between these five generalized solutions are proved to be same with the original ones.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
1998年第1期38-43,共6页
Systems Engineering-Theory & Practice
基金
国家自然科学基金
关键词
多属性决策
规范化
强最优解
次强最优解
决策
multiple attributes decision making (MADM), normalization of attributes, strong optimal solution, sub strong optimal solution
