Applications of Interval-Valued Pythagorean Fuzzy Soft Graph in Bipolar Fuzzy Frame Works

R. Sivasamy^*1, M. Mohammed Jabarulla², Broumi said³

^1,2Department of Mathematics Jamal Mohamed College (Autonomous) Tiruchirappalli – 620020,

Tamil Nadu, India (Affiliated to Bharathidasan University)

³Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II,

Casablanca, Morocco

Emails: sivasamyr1998@gmail.com; m.md.jabarulla@gmail.com; broumisaid78@gmail.com

Abstract

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.

Keywords:   Pythagorean fuzzy soft graph; Bipolar fuzzy soft graph; Bipolar Pythagorean fuzzy soft graph; Interval-valued Pythagorean fuzzy soft graph; Interval-valued bipolar Pythagorean fuzzy soft graph.