Hybrid multi-attribute decision model of grey target

Abstract

To handle the uncertain multiple attribute decision problem that the decision index value is hard to define accurately, this paper studies on the hybrid multi-attribute decision model of grey target when the index values are real number, interval number and triangular fuzzy number which exist together. According to the basic connotations of grey target decision and uncertain decision information, this paper defines the hybrid ellipsoid grey target based on which it also constructs the hybrid decision model of grey target, and discusses the weights assignment problems under the circumstances where there is completely no weight information on index or there is only partial weight information. The result shows that the model established in this paper can better resolve the multi-attribute decision problem with hybrid information and finally this paper proves the practicality and effectiveness of this model through a case study.