A new approach based on intuitionistic fuzzy rough graphs for decision-making

Article type: Research Article

Authors: Malik, Hafsa Masood | Akram, Muhammad^{; *}

Affiliations: Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

Correspondence: [*] Corresponding author. Muhammad Akram, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: [email protected].

Abstract: An intuitionistic fuzzy rough model is a hybrid model which is made by combining two mathematical models namely, intuitionistic fuzzy sets and rough sets. This hybrid model deals with soft computing and vagueness by using the lower and upper approximation spaces. In this research study, the concept of intuitionistic fuzzy rough sets is applied to graphs. The notion of intuitionistic fuzzy rough graphs and various methods of their construction are presented. An application of intuitionistic fuzzy rough graphs in decision-making problem is discussed. In particular, an efficient algorithm is developed to solve decision-making problems. Time complexity of proposed algorithm is computed.

Keywords: Intuitionistic fuzzy rough graphs, algorithms, decision-making

DOI: 10.3233/JIFS-171395

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 4, pp. 2325-2342, 2018