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系统研究了激励型变权向量,首先定义了考虑决策者心理行为的激励型变权向量,提出了与之对应的状态变权向量,分别讨论了激励型变权向量的基本类型;其次深入研究了效用函数诱导出激励型变权特性;然后,定义了激励型变权的风险规避系数,分别研究了几类激励型变权向量与风险规避系数的关系.提出一种新的基于激励型变权向量的多属性决策方法;最后,通过实例说明了该理论是有效的和合理的.
In this paper, we study the motivational variable weight vectors systematically. First, we define the motivational variable weights vectors that take into account the psychological behavior of the decision makers. We propose the corresponding state variable weights vectors and discuss the basic types of motivational variable weight vectors. The utility function is used to induce incentive-type variable weighting characteristics. Then, the risk-averse coefficients of incentive-type variable weights are defined and the relationship between several types of incentive-type variable weight vectors and risk-averse coefficients is studied respectively. At last, an example shows that the theory is effective and reasonable.