The file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.Purpose – The purpose of this paper is to explain the terms of grey models for decision-making. Design/methodology/approach –The definitions of basic terms about grey models for decision-making are presented and explained one by one. Findings –The reader could know the basic explanation about the important terms about various grey models for decision-making from this paper. Practical implications –Many of our colleagues thought that unified definitions of key terms would be beneficial for both the readers and the authors . Originality/value – It’s a fundamental work to standardize all the d...