基于区间数二级收敛的风险型方案的择优

The Optimal Selection for Risk Schemes based on Two-step Converging of Interval Numbers

区间数多属性择优问题是多属性决策研究中的重要内容。为解决成本与效益型混合的多属性风险型方案择优问题,在分析区间数的定义及其在方案属性集中应用的基础上,本文运用区间数的二级收敛思想,给出了多属性风险型方案的择优过程:首先规范决策矩阵并将各备选方案属性权重的区间数收敛为点值;其次计算各备选方案综合属性值的区间数并建立可能度矩阵再将各备选方案综合属性值的区间数收敛为点值;最后运用综合属性排序向量计算各备选方案的综合属性点值并进行排序。本文实例印证了该择优过程的实用性和有效性。本文研究成果可丰富多属性决策研究内容并有助于风险投资者科学高效地选择最佳投资方案,因而具有较高的理论意义及实践价值。

The multi-attribute optimal selection problem with interval numbers is an important content in multi-attribute decision making research In order to solve optimal selection for risk schemes which contain a lot of attributes in cost and benefit types, on the basis of the definition of interval numbers and its application in scheme and attribute sets, this paper applies a two-step convergence method on the basis of interval numbers and gives optimal selection process towards risk schemes which contain a lot of attributes. First, it standardizes decision matrix and converges interval numbers of attribute＇s weights of every scheme to point value. Second, it converges interval numbers of comprehensive attribute value of every optional scheme to point value. Finally, it uses comprehensive attribute sort vector to calculate the comprehensive attribute＇s point values of every optional scheme and sorts them. Example analysis proves that optimal selection process is practical and effective. Research results of this paper will enrich multi-attribute decision making research and help venture investors to select the best investment scheme scientifically and efficiently, thus it will bring out higher theoretical significance and practical value.