Grey linear space based grey project scheduling

Based on the idea of grey theory, the uncertain duration with clear extension but unclear intension in project scheduling can be characterized as the grey number. However, the operations of the grey number borrowed from other uncertainty theory had long puzzled scholars. This paper address grey project scheduling based on grey linear space. The grey linear operation based on grey linear space and comparison method based on the information background were proposed. Then grey project scheduling problem was studied. And the critical path method under grey linear space was developed. Finally, a numerical case was adopted to test effectiveness of proposed method. Results show grey project scheduling and grey critical path method could be established under grey linear space.