A new efficient decision making algorithm based on interval-valued fuzzy soft set

Abstract

Interval-valued fuzzy soft set is an extended model of soft set. It is a new mathematical tool that has great advantages in dealing with uncertain information and is proposed by combining soft sets and interval-valued fuzzy sets. The two existing fuzzy decision making algorithms based on interval-valued fuzzy soft sets were given. However, the two existing methods involve the high computational complexity and do not consider the added objects. In order to solve these problems, in this paper, we propose a new efficient decision making algorithm for interval-valued fuzzy soft sets. The comparison results among three methods on one real-life application and 30 synthetic generated datasets show that, the proposed algorithm involves relatively less computation and considers the added objects. Due to relatively less computation, our proposed algorithm has the much higher scalability for the large scale datasets compared with the two existing algorithms. Due to considering the added objects, our proposed algorithm has the much higher flexibility and is beneficial to the extension of interval-valued fuzzy soft set and combination of multiple interval-valued fuzzy soft sets.