Muhammad Akram - Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
Feng Feng - Department of Applied Mathematics, Xi&#۰۳۹;an University of Posts, and Telecommunications, Xi&#۰۳۹;an, China
Arsham Borumand Saeid - Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran and Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
V. Leoreanu-Fotea - Faculty of Mathematics, Al.I.Cuza University, ۷۰۰۵۰۶ Iasi, Romania

In this research study, we present a novel frame work for handling bipolar fuzzy soft information by combining bipolar fuzzy soft sets with graphs. We introduce several basic notions concerning bipolar fuzzy soft graphs and investigate some related properties. We also consider the application of the bipolar fuzzy soft graphs. In particular, three efficient algorithms are developed to solve multiple criteria decision-making problems regarding social network, investment in shares and detection of bipolar disorder in children.

Bipolar fuzzy soft graph, Multiple criteria decision-making problem, Algorithm