Abstract:

Based on soft discernibility matrix,we first present the concept of incomplete soft discernibility matrix in soft sets and analyze its related properties.Then,we propose a novel decision making algorithm based on incomplete soft discernibility matrix.It can get an order relation of all the objects easily by scanning the incomplete soft discernibility matrix at one single time,thus finding the optimal choice object and the suboptimal object.Finally, the correctness and effectiveness of the algorithm in decision making are proved by examples.

Key words: incomplete soft set;soft discernibility matrix;incomplete soft discernibility matrix;decision making;choice value