Fuzzy rough graph theory with applications

Abstract

Fuzzy rough set theory is a hybrid method that deals with vagueness and uncertainty emphasized in decision-making. In this research study, we apply the concept of fuzzy rough sets to graphs. We introduce the notion of fuzzy rough digraphs and describe some of their methods of construction. In particular, we consider applications of fuzzy rough digraphs. We also present algorithms to solve decision-making problems regarding selection of a city for treatment and identification of best location in a department to set mobile phone Jammer.