Back to Search
Start Over
New Concepts of Intuitionistic Fuzzy Trees with Applications
- Source :
- International Journal of Computational Intelligence Systems; December 2021, Vol. 14 Issue: 1
- Publication Year :
- 2021
-
Abstract
- It is known that Intuitionistic fuzzy models give more precision, flexibility and compatibility to the system as compared to the classic and fuzzy models. Intuitionistic fuzzy tree has an important role in neural networks, computer networks, and clustering. In the design of a network, it is important to analyze connections between the levels. In addition, the intuitionistic fuzzy tree is becoming increasingly significant as it is applied to different areas in real life. The study proposes the novel concepts of intuitionistic fuzzy graph (IFG) and some basic definitions. We investigate the types of arcs, for example, αμ-strong, βμ-strong, and δμ-arc in an intuitionistic fuzzy graph, and introduce some of their properties. In particular, the present work develops the concepts of intuitionistic fuzzy bridge (IFB), intuitionistic fuzzy cut nodes (IFCN) and some important properties of an intuitionistic fuzzy bridge. Next, we define an intuitionistic fuzzy cycle (IFC) and an intuitionistic fuzzy tree (IFT). Likewise, we discuss some properties of the IFT and the relationship between an intuitionistic fuzzy tree and an intuitionistic fuzzy cycle. Finally, an application of intuitionistic fuzzy tree is illustrated in other sciences.
Details
- Language :
- English
- ISSN :
- 18756891 and 18756883
- Volume :
- 14
- Issue :
- 1
- Database :
- Supplemental Index
- Journal :
- International Journal of Computational Intelligence Systems
- Publication Type :
- Periodical
- Accession number :
- ejs57968301
- Full Text :
- https://doi.org/10.1007/s44196-021-00028-7