Graphical Structures of Cubic Intuitionistic Fuzzy Information

Author:

Khan Sami Ullah1,Jan Naeem1ORCID,Ullah Kifayat2ORCID,Abdullah Lazim3ORCID

Affiliation:

1. Department of Mathematics, Institute of Numerical Sciences, Gomal University D. I. Khan, Dera Ismail Khan, Pakistan

2. Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University Lahore, Lahore 54000, Pakistan

3. Department of Mathematics, Faculty of Ocean Engineering Technology and Informatics, University of Malaysia Terengganu, Kuala Nerus 2103, Malaysia

Abstract

The theory developed in this article is based on graphs of cubic intuitionistic fuzzy sets (CIFS) called cubic intuitionistic fuzzy graphs (CIFGs). This graph generalizes the structures of fuzzy graph (FG), intuitionistic fuzzy graph (IFG), and interval-valued fuzzy graph (IVFG). Moreover, several associated concepts are established for CIFG, such as the idea subgraphs, degree of CIFG, order of CIFG, complement of CIFG, path in CIFG, strong CIFG, and the concept of bridges for CIFGs. Furthermore, the generalization of CIFG is proved with the help of some remarks. In addition, the comparison among the existing and the proposed ideas is carried out. Finally, an application of CIFG in decision-making problem is studied, and some future study is proposed.

Publisher

Hindawi Limited

Subject

General Mathematics

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