Journal
INFORMATION SCIENCES
Volume 545, Issue -, Pages 608-619Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2020.09.050
Keywords
Bipolar fuzzy graph; Wiener index; Wiener absolute index; Connectivity index; Regular journeys
Categories
Funding
- Department of Higher Education, Science and Technology and Biotechnology, Government of West Bengal, India [52-Edn (B)/5B15/2017]
Ask authors/readers for more resources
This article discusses the importance of connectivity sustain in bipolar fuzzy graphs and introduces the Wiener index and Wiener absolute index. It compares the connectivity index and Wiener index in bipolar fuzzy graphs, and applies these concepts to regular journeys from Paris to Brest.
Due to the existence of two opposite sided opinions in bipolar fuzzy graphs, the positive and negative communication between all pair of vertices always may not be strong. So, the connectivity sustain is one of the major important part in a bipolar fuzzy network system. First, Wiener index for a bipolar fuzzy graph is introduced and explained their properties. Second, the terms Wiener absolute index is created based on the total accurate connectivity between all the pair of vertices and in the whole bipolar fuzzy graph. Third, the behavior of Wiener absolute index is visualized in several bipolar fuzzy graphs like bipolar fuzzy forest, bridge, and tree. Fourth, a comparative discussion between connectivity index and Wiener index in bipolar fuzzy graphs are established. Finally, an application of all these thought is displayed in regular journeys from the city Paris to Brest. (C) 2020 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available