Certain types of graphs in interval-valued intuitionistic fuzzy setting
MetadataShow full item record
CitationNaz, S. & Aslam Malik, M. (2021). Certain types of graphs in interval-valued intuitionistic fuzzy setting. TWMS Journal of Applied and Engineering Mathematics, 11(3), 814-825.
Interval-valued intuitionistic fuzzy graph (IVIFG) as a generalization of intuitionistic fuzzy graph (IFG) increases its elasticity drastically. In this paper, some important types of IVIFGs such as regular, irregular, neighbourly irregular, highly irregular and strongly irregular IVIFGs are discussed. The relation among neighbourly irregular, highly irregular and strongly irregular IVIFGs is proved. The notion of intervalvalued intuitionistic fuzzy clique (IVIFC) is introduced. A complete characterization of the structure of the IVIFC is presented. Finally, an application of interval-valued intuitionistic fuzzy digraph (IVIFDG) in vulnerability assessment of water supply network is provided.
SourceTWMS Journal of Applied and Engineering Mathematics
The following license files are associated with this item:
Showing items related by title, author, creator and subject.
Intuitionistic fuzzy bi-implicator and properties of Lukasiewicz intuitionistic fuzzy bi-implicator This paper presents axiomatic as well as constructive definitions of intuitionistic fuzzy bi-implicators based on intuitionistic fuzzy t-norms and their intuitionistic fuzzy residual implicators. The inter-relationship ...
Currently, bipolar fuzzy graph is a growing research topic as it is the generalization of fuzzy graphs. In this paper, normal and convex bipolar fuzzy sets are defined and the notion of bipolar fuzzy interval is introduced ...
In this paper, some new connectivity concepts in intuitionistic fuzzy labeling graphs are defined. The concepts of strong arc, partial cut node, bridge and block are introduced. Also, intuitionistic fuzzy labeling tree is ...