Extended Research on Grey Target Decisions for a Variable Target Centre Based on Decision Maker Preferences

• Main Authors: Hongna Song, Xinxian Zhai, Jinshan Ma
• Format: Article
• Language: English
• Published: Hindawi Limited 2019-01-01
• Series: Mathematical Problems in Engineering
• Online Access: http://dx.doi.org/10.1155/2019/1739835

The impact of target centre indices determined by the desires and selection preferences of decision makers (DMs) on target centre distances (TCDs) has been discussed extensively. One way of facilitating this is by using a multiple-attribute grey target decision method (GTDM), where normalisation plays an important role. So far, however, TCDs have only undergone linear normalisation. Therefore, we investigated the available normalisation methods with regard to the impact of a variable target centre on TCDs and objective weights. Our work shows that existing normalisation methods can be divided into two kinds: those that affect the index TCDs and determine the objective weights and those that do not, with target centre indices instead determined by the preferences of DMs. Finally, numerical examples are provided and applications are discussed.