Novel decision-making algorithms based on intuitionistic fuzzy rough environment

Intuitionistic fuzzy sets and rough sets are two different mathematical models to deal the problem of how to understand and manipulate imperfect knowledge. An intuitionistic fuzzy rough framework is made by combining these two models, which is a more flexible and expressive for modeling and processing incomplete information in information systems. In this research study, we introduce intuitionistic fuzzy rough graphs, and describe certain types of intuitionistic fuzzy rough graphs with several examples. We present applications of intuitionistic fuzzy rough graphs in decision-making problems. We develop efficient algorithms to solve decision-making problems and compute time complexity of each algorithm.