Multi-criteria decision-making methods under soft rough fuzzy knowledge

Abstract

Due to the uncertainty of real world problems and the limitation of human’s knowledge to understand the complex problems, it is very difficult for one to apply only a single type of uncertainty method to cope with such problems. One can develop a more powerful new model to solve decision making problems by incorporating the advantages of many other different theories of uncertainty. Fuzzy sets, soft sets and rough sets are very useful mathematical models for dealing with uncertainty. Combinations of these models result into several useful hybrid models. In view of this, in this research paper, the concepts and methods of rough soft sets and fuzzy sets are used to construct a new soft rough fuzzy set model. We employ the concept of soft rough fuzzy sets to graphs and investigate some properties of this model. We apply this new model to describe and resolve some multi-criteria decision-making problems.