Novel Neutrosophic Cubic Graphs Structures With Application in Decision Making Problems

Abstract

Graphs allow us to study the different patterns of inside the data by making a mental image. The aim of this paper is to develop a neutrosophic cubic graph structure, which is the extension of neutrosophic cubic graphs. As neutrosophic cubic graphs are defined for one set of edges between vertices, while neutrosophic cubic graphs structures are defined for more than one set of edges. Further, we defined some basic operations, such as Cartesian product, composition, union, join, cross product, strong product, and lexicographic product of two neutrosophic cubic graph structures. Several types of other interesting properties of neutrosophic cubic graph structures are discussed in this paper. Finally, a decisionmaking algorithm based on the idea of neutrosophic cubic graph structures is constructed. The proposed decision-making algorithm is applied in a decision-making problem to check the validity.

On Development of Neutrosophic Cubic Graphs with Applications in Decision Sciences

“…More development on the neutrosophic graphs can be seen in [50,[62][63][64]. After reading the extensive literature at neutrosophic graphs, recently, Gulistan et al [65] discussed the cubic graphs with the application, neutrosophic graphs, and presented the idea of neutrosophic cubic graphs and their structures in their work [66,67].…”

“…To further extend the work of Gulistan et al [66,67], in this paper we developed different types of neutrosophic cubic graphs including balanced, strictly balanced, complete, regular, totally regular, and irregular neutrosophic cubic graphs and complement of neutrosophic cubic graphs. Also, we established an open and close neighborhood of a vertex for neutrosophic cubic graphs and their application to the art of decision-making.…”

Identification of the Best Sector for Multinatinal Companies Investment Using the Q-rung Double Hierarchy Linguistic Term Set Todim Approach

“…Gou et al [11] give the idea of a double hierarchy linguist term set (DHLTS). Decision-making is an art, and many researchers have worked on this aspect, see [12][13][14][15][16][17][18][19][20]. Di¤erent methods are introduced to solve the problems of (MADM), for example, TODIM, TOPSIS, CODAS, and VIKOR [21][22][23][24], etc.…”