Introduction of some new results on interval-valued neutrosophic graphs

Abstract

In this paper, inspired by the concept of generalized single-valued neutrosophic graphs(GSVNG) of the first type, we define yet another generalization of neutrosophic graph called the generalized interval-valued neutrosophic graph of 1 type (GIVNG1) in addition to our previous work on complex neutrosophic graph (CNG1) in [47]. We will also show a matrix representation for this new generalization. Many of the fundamental properties and characteristics of this new concept is also studied. Like the concept CNG1 in [47], the concept of GIVNG1 is another extension of generalized fuzzy graphs 1 (GFG1) and GSVNG1.

Subject Classification: (2000):

• 03E72
• 05C72
• 68R10

Keywords:

• Interval-Valued Neutrosophic Graph
• Generalized Interval Valued Neutrosophic Graph Of First Type
• Matrix Representation
• Neutrosophic Graph