Self-centered bipolar interval valued neutrosophic graph

2022 ◽  
Author(s):  
L. Jagadeeswari ◽  
V. J. Sudhakar
Keyword(s):  
Neutrosophic Graph ◽  
Interval Valued

Concepts of Interval-Valued Neutrosophic Graphs

2017 ◽  
Vol 6 (1-2) ◽  
pp. 22 ◽  
Author(s):  
Muhammad Akram ◽  
Maryam Nasir
Keyword(s):  
Complete Graphs ◽  
Research Article ◽  
Neutrosophic Graph ◽  
Definition Of ◽  
Interval Valued

Broumi et al. [15] proposedthe concept of interval-valued neutrosophic graphs. In this research article, we first show that there are some flaws in Broumi et al. [15] ’s definition which violates condition of an interval. We then modify the definition of an interval-valued neutrosophic graph. We present some operations on interval-valued neutrosophic graphs. We discuss the concepts of self-complementary and self weak complementary interval-valued neutrosophic complete graphs. We also describe regularity of interval-valued neutrosophic graphs.

scholarly journals Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 72 ◽  
Author(s):  
Naeem Jan ◽  
Kifayat Ullah ◽  
Tahir Mahmood ◽  
Harish Garg ◽  
Bijan Davvaz ◽  
...  
Keyword(s):  
Decision Making ◽  
Essential Role ◽  
Real Life ◽  
Current Definition ◽  
Fuzzy Graphs ◽  
Life Problems ◽  
Decision Making Problem ◽  
Neutrosophic Graph ◽  
Definition Of ◽  
Interval Valued

Fuzzy graphs (FGs) and their generalizations have played an essential role in dealing with real-life problems involving uncertainties. The goal of this article is to show some serious flaws in the existing definitions of several root-level generalized FG structures with the help of some counterexamples. To achieve this, first, we aim to improve the existing definition for interval-valued FG, interval-valued intuitionistic FG and their complements, as these existing definitions are not well-defined; i.e., one can obtain some senseless intervals using the existing definitions. The limitations of the existing definitions and the validity of the new definitions are supported with some examples. It is also observed that the notion of a single-valued neutrosophic graph (SVNG) is not well-defined either. The consequences of the existing definition of SVNG are discussed with the help of examples. A new definition of SVNG is developed, and its improvement is demonstrated with some examples. The definition of an interval-valued neutrosophic graph is also modified due to the shortcomings in the current definition, and the validity of the new definition is proved. An application of proposed work is illustrated through a decision-making problem under the framework of SVNG, and its performance is compared with existing work.

scholarly journals Representation of Graph Structure Based on I-V Neutrosophic Sets

2017 ◽  
Vol 6 (1-2) ◽  
pp. 56 ◽  
Author(s):  
Muhammad Akram ◽  
Muzzamal Sitara
Keyword(s):  
Line Graph ◽  
Graph Structure ◽  
Open Problems ◽  
Neutrosophic Sets ◽  
Research Article ◽  
Graph Structures ◽  
Neutrosophic Graph ◽  
Interval Valued

In this research article, we apply the concept of interval-valued neutrosophic sets to graph structures. We present the concept of interval-valued neutrosophic graph structures. We describe certain operations on interval-valued neutrosophic graph structures and elaborate them with appropriate examples. Further, we investigate some relevant properties of these operators. Moreover,we propose some open problems on interval-valued neutrosophic line graph structures.

Sign in / Sign up

Export Citation Format

Share Document