Int J Intell Syst. 2019;1-26. wileyonlinelibrary.com/journal/int © 2019 Wiley Periodicals, Inc. | 1 DOI: 10.1002/int.22154 RESEARCH ARTICLE An approach towards decision making and shortest path problems using the concepts of interval‐valued Pythagorean fuzzy information Naeem Jan 1 | Muhammad Aslam 2 | Kifayat Ullah 1 | Tahir Mahmood 1 | Jun Wang 3 1 Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan 2 Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia 3 Department of Information Management, School of Economics and Management, Beijing Jiaotong University, Beijing, China Correspondence Muhammad Aslam, Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia. Email: magmuhammad@kau.edu.sa and aslam_ravian@hotmail.com Abstract A pythagorean fuzzy set is a generalized fuzzy structure that copes with imprecisions of real life accurately and with a larger domain. The aim of this manuscript is to develop the notion of graph for newly established concept of interval‐valued Pythagorean fuzzy set. We introduced the concept of interval‐valued Pythagorean fuzzy graph (IVPyFG) and discussed its related ideas with the help of examples. The significance of using interval‐valued fuzzy concepts over non‐interval‐valued fuzzy concepts are demonstrated numerically. Further, the advantages of using the new approach over the pre‐ existing ideas are demonstrated with the help of numerical examples. The main goal of this article is to study three types of decision‐making problems using the framework of IVPyFGs. These three problems include the problem of selection of the best university in a network of universities, a supply chain management problem and the shortest path problem. The comparison of the new approach toward these problems with existing approaches is also established. KEYWORDS decision making, interval‐valued Pythagorean fuzzy graphs, Pythagorean fuzzy graphs, shortest path problem