Abstract
A bipolar single-valued neutrosophic (BSVN) graph structure is a generalization of a bipolar fuzzy graph. In this research paper, we present certain concepts of BSVN graph structures. We describe some operations on BSVN graph structures and elaborate on these with examples. Moreover, we investigate some related properties of these operations.
Highlights
Fuzzy graphs are mathematical models for dealing with combinatorial problems in different domains, including operations research, optimization, computer science and engineering
Bipolar fuzzy sets are more practical, advantageous and applicable in real-life phenomena. Both bipolar fuzzy sets and intuitionistic fuzzy sets cope with incomplete information, because they do not consider indeterminate or inconsistent information that clearly appears in many systems of different fields, including belief systems and decision-support systems
We present certain concepts of bipolar single-valued neutrosophic graph structures (BSVNGSs)
Summary
Fuzzy graphs are mathematical models for dealing with combinatorial problems in different domains, including operations research, optimization, computer science and engineering. Bipolar fuzzy sets are more practical, advantageous and applicable in real-life phenomena. Both bipolar fuzzy sets and intuitionistic fuzzy sets cope with incomplete information, because they do not consider indeterminate or inconsistent information that clearly appears in many systems of different fields, including belief systems and decision-support systems. Smarandache [4] introduced neutrosophic sets as a generalization of fuzzy sets and intuitionistic fuzzy sets. Deli et al [6] considered bipolar neutrosophic sets as a generalization of bipolar fuzzy sets They studied some operations and applications in decision-making problems. In 2016, Akram and Akmal [13] proposed the concept of bipolar fuzzy graph structures. We present certain concepts of bipolar single-valued neutrosophic graph structures (BSVNGSs). Terminologies and applications not mentioned in the paper, the readers are referred to [23,24,25,26,27,28,29]
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