Normalization Approaches for Multiplicative Interval weights
The problem of interval weights normalization is of perennial interest, as it is related to the problems of Multiple Criteria Decision Making (MCDM). Existing normalization approaches are just taken into account one conventional situation that the product of some weight values is equal to 1, while ignoring the other situation, in which weights variables required to be multiplied to 1, i.e. multiplicatively normalization. This paper investigates normalization approaches for multiplicative interval weights. A pair of auxiliary models and two equivalent pairs of normalization approaches for multiplicative interval weights is developed respectively; relevant theorems are given to support them. Finally, a numerical example is furnished to illustrate the proposed approaches and demonstrate their effectiveness and practicability.
Multiple criteria decision making Multiplicative interval weights Normalization
Wang Xiaoyan
Department of Automation, Xiamen University, Xiamen 361005, China
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
3138-3143
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）