Self centered Interval-Valued Pythagorean Fuzzy Graph Structure with an application

Abstract

The Interval-valued Pythagorean Fuzzy Set (IVPFS), an extension of the Pythagorean Fuzzy Set (PFS), offers a more accurate description of uncertainty than traditional fuzzy sets. It helps us to discourse about the inestimable values of human life. In this paper, we introduce the notion of Interval-Valued Pythagorean Fuzzy graph Structure (IVPFGS), further we introduce the definition of λJ −strength, λJ −length, λJ −distance, λJ −eccentricity, λJ −radius, λJ −diameter, λJ − centered, λJ − sel f centered, λJ − path cover, λJ − edge cover. Moreover we investigate some properties of λJ −Sel f centered IVPFGS with illustration and we have discussed application in IPFGS