Application of Induced Preorderings in Score Function-Based Method for Solving Decision-Making with Interval-Valued Fuzzy Soft Information

Ranking interval-valued fuzzy soft sets is an increasingly important research issue in decision making, and provides support for makers order to select the optimal alternative under uncertain environment. Currently, there are three set-based decision-making algorithms literature. However, these not able overcome of comparable alternatives and, fact, might be ignored due lack a comprehensive priority approach. In provide partial solution this problem, we present group which based on preference relationship information. Further, corresponding each parameter, two crisp topological spaces, namely, lower topology upper topology, introduced topology. Then, using preorder relation space, score function-based ranking system also defined design adjustable multi-steps algorithm. Finally, some illustrative examples given compare effectiveness approach with existing methods.