Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/2671 2021 2021 Applications of Interval-Valued Pythagorean Fuzzy Soft Graph in Bipolar Fuzzy Frame Works Department of Mathematics Jamal Mohamed College (Autonomous) Tiruchirappalli – 620020, Tamil Nadu, India (Affiliated to Bharathidasan University) Broumi Broumi Department of Mathematics Jamal Mohamed College (Autonomous) Tiruchirappalli – 620020, Tamil Nadu, India (Affiliated to Bharathidasan University) M. Mohammed Jabarulla Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco Broumi said The main contribution of this paper is to get extended ideas of various interval-valued bipolar Pythagorean fuzzy soft graphs (I-VBPFSGs) and to extend the concept of the Pythagorean fuzzy soft graph to the bipolar frameworks. Finally, in order to demonstrate, how to calculate an interval-valued Pythagorean bipolar fuzzy soft graph for a specific application, a numerical example using city data from the Yunnan province is presented. 2023 2023 38 45 10.54216/JNFS.070204 https://www.americaspg.com/articleinfo/24/show/2671