一种基于粗集理论的属性权重构造方法

New methodology of attribute weights acquisition based on rough sets theory

提出一种新的基于粗集理论的权重构造方法来解决传统决策中主观性问题和冗余性问题,并给出了一种新的判据模式。新方法分析论述了可拓学中存在的数学逻辑错误,并与通过其他决策方法得出的结论作比较。最终通过实验分析来说明方法的有效性和可行性,从而为管理决策提供了一种新的思想。

By considering the disadvantage in traditional decision making methodologies, the thought of at- tribute reduction with rough sets theory （RST） is used to propose two definitions of important degree, and a new method of weight acquisition based on RST and a new pattern of criteria are proposed to solve the problems of subjectivity and redundancy in traditional decision-making. The mistakes of mathematical logistic in extenics are analyzed and discussed in the new method. A comparison is made between the proposed method and the oth- er decision-making methods, and an experimental study is given to validate the validity and feasibility of the proposed thought, which provides a new methodology in management decisions.