Energy based bipolar intuitionistic fuzzy digraph decision-making system in selecting COVID-19 vaccines

Nithyanandham, Deva; Augustin, Felix; Micheal, David Raj; Pillai, Nagarajan Deivanayagam

doi:10.1016/j.asoc.2023.110793

Cited by 4 publications

(1 citation statement)

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“…Singh, Suneet et al [25] discussed an interval-valued intuitionistic fuzzy directed graph with application towards transportation systems. Nithyanandham et al [26] discussed an energy-based bipolar IFDG and presented its application in decision making theory. Some of the main components of picture fuzzy graphs (PFGs) were explored in [27].…”

Section: Introductionmentioning

confidence: 99%

Dominations in Intutionistic Fuzzy Directed Graphs with Applications towards Influential Graphs

Guan,

Khan,

Fida

et al. 2024

Mathematics

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In this manuscript, we introduce a few new types of dominations in intuitionistic fuzzy directed graphs (IFDGs) based on different types of strong arcs (SAs). Our work is not only a direct extension of domination in directed fuzzy graphs (DFGs) but also fills the gap that exists in the literature regarding the dominations in different extended forms of fuzzy graphs (FGs). In the beginning, we introduce several types of strong arcs in IFDGs, like semi-β strong arcs, semi-δ strong arcs, etc. Then, we introduce the concepts of domination in IFDGs based on these strong arcs and discuss its various useful characteristics. Moreover, the dominating set (DS), minimal dominating set (MDS), etc., are described with some fascinating results. We also introduce the concept of an independent set in IFDGs and investigate its relations with the DS, minimal independent set (MIS) and MDS. We also provide numerous important characterizations of domination in IFDGs based on minimal and maximal dominating sets. In this context, we discuss the lower and upper dominations of some IFDGs. In addition, we introduce the terms status and structurally equivalent and examine a few relationships with the dominations in IFDGs. Finally, we investigate the most expert (influential) person in the organization by utilizing the concepts of domination in IFGs.

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Section: Introductionmentioning

confidence: 99%