Interval – Valued Pythagorean Fuzzy Soft Graphs

R. Sivasamy ^*1, M. Mohammed Jabarulla ², Broumi said³

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

Tamil Nadu, India (Affiliated to Bharathidasan University)

³ Laboratory 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

Interval-valued Pythagorean fuzzy soft sets and graph theory are combined in this essay. Then, we present notations for Pythagorean fuzzy soft graphs with interval values. On interval-valued Pythagorean fuzzy soft graphs, we also provide a variety of operations, such as Cartesian product and composition, and we look at some of their characteristics. Finally, we consider the application of I-VPFSGs for the selection  of suitable houses and got the appropriate result by using score function.

Keywords: Interval-valued fuzzy graph (I-VFG); Interval-valued fuzzy soft graph (I-VFSG); Interval-valued Pythagorean fuzzy soft graphs (I-VPFSG).