基于决策者偏好的正负靶心灰靶决策方法

Grey Target Decision Method for Positive and Negative Target Centers Based on Decision Maker’s Preferences

摘要:

基于已有的研究,在多属性灰靶决策中将决策者对某些属性指标取值的理想偏好和选择偏好所决定的正靶心扩展到负靶心。分析了不同的属性值偏好对决策方案指标的影响,并采用广义灰靶决策的方法处理决策者的偏好。基于未一致规范化决策方案样本值矩阵确定正负靶心后,再将决策者偏好的属性值置换求得融入决策者属性值偏好的正负靶心指标值。然后求得各个决策方案的正负靶心距,并以各个方案到正负靶心综合靶心距离的贴近度作为方案的评价依据。算例分析表明,该方法能够有效的处理决策者对某些属性的指标值有不同偏好的情况,且使得决策结果客观。

关键词:决策者偏好;理想偏好;选择偏好;贴近度;广义灰靶决策方法

Abstract:

The desirable preferences and selection preferences for some attribute values as determined by the decision maker on positive target center vector in grey target decision making were expanded to the negative target center vector based on the previous study. In this work, the impacts of different types of decision maker’s preferences for some attribute values of all alternatives addressed by generalized grey target decision method were studied. The proposed method decided the final positive or negative target center index values by substituting decision maker’s preference values to some of the original target center index values as determined by the alternatives themselves. Following this, all alternatives’ integrated distances to their positive and negative centers were calculated, and the alternatives ranking was determined by the nearness degrees of their integrated positive and negative target center distances. A case study showed that this method handling decision maker’s preferences for some attributes on positive and negative centers was effective and objective.

Key words:decision marker’s preferences; desirable preferences; selection preferences; nearness degree; generalized grey target decision method