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In this paper, the concept of inverse domination in neutrosophic graph is established. The definition of inverse domination number, inverse dominating set, inverse split and non split dominating sets in neutrosophic graph are developed with suitable examples here. Also, the theorems in inverse domination in neutrosophic graph and the bound on inverse domination number in neutrosophic graph are derived.

This article exceedingly induces a completely new impression of graded mean integral representation in trapezoidal neutrosophic number domain corresponding to each membership function. Furthermore employing these integral representations, a new fangled graded mean integral distance measure is produced between two trapezoidal neutrosophic numbers. Notably, a numerical business economy based Multi Criteria Decision Making (MCDM) problem is fabricated along with the explication of neutrosophic theory to authenticate our suggested course of action in the decision making policy with the prominent solution scheme of VlseKriterijumska Optimizcija I Kaompromisno Resenje (VIKOR) technique for recognising the best alternative from a finite set. Lastly, the comparison work acts as an additional encouragement of our proposed scheme.

The article considers a new generalization of closed sets in neutrosophic topological space. This generalization is called Neutrosophic gsg-closed set. Moreover, we discuss its essential features in neutrosophic topological spaces. Furthermore, we extend the research by displaying new related definitions such as neutrosophic gsg-closure and neutrosophic gsg-interior and debating their powerful characterizations and relationships.

The current study shows the study of NeutroBitopological Space. In this work, the properties of NeutroBitopological Space are discussed. It is seen that many properties do not coincide with the properties of general Bitopological space. The terms NeutroInterior, NeutroClosure, and NeutroBoundary are defined with examples also their properties are observed.

The concept of neutrosophic sets makes it easier to analyse values that are ambiguous or indeterminate. We illustrate the concept of single-valued neutrosophic R-dynamic vertex coloring in this study. In addition, the single valued neutrosophic dynamic vertex coloring of the Cartesian product of path with cycle, cycle with cycle, complete SVNG with complete SVNG and cycle has been determined. Also, we have discussed the single valued neutrosophic dynamic vertex coloring of join of complete SVNG with complete SVNG and cycle, cycle with cycle.

The COVID-19 pandemic has affected the presence of students in the classroom, especially in medical schools where the practice is essential to gain skills. Virtual teaching or e-learning has emerged as the answer to that problem in this environment. Despite its many advantages, this process has faced different problems that have been overcome thanks to success factors. Considering the need to search for quality in medical schools in Ecuador, a study was carried out on those applied factors that have contributed to guaranteeing the quality of the teaching-learning process. That is the main objective of this research, supported by the bibliographic search and Plithogeny. It can be concluded that the highest level of impact has been made possible by the combination of the correct use of Information and Communication Technologies with adequate teacher training.

In this paper, we have introduced the concept of nk#Nα (n1 ) by using CLN α({n1}) where n1∈ N via Nα-open sets. Also, we have introduced the spaces called Nψα# 0-space and Nψα# 1-space.

Routers steer and bid network data, through packets that hold a variety of categories of data such as records, messages, and effortless broadcasts like web interfaces. The procedure of choosing a passageway for traffic in a network or between several networks is called routing. Starting from telephone networks to public transportation the principles of routing are applied. Routing is the higher-level decision-making that directs network packets from their source en route for their destination through intermediate network nodes by specific packet forwarding mechanisms. The main function of the router is to set up optimized paths among the different nodes in the network. An efficient novel routing algorithm is proposed with the utilization of neutrosophic fuzzy logic in this work addition to many routing algorithms for finding the optimal path in the literature. In this approach, each router makes its own routing decision in the halting time. Various concepts like routing procedures, most expected vector, most expected object, and list of estimated delays are explained.

The notion of neutrosophic sets facilitates the analysis of values that are unclear or indeterminate. In this paper, we discuss the single-valued neutrosophic R-dynamic vertex coloring of the Cartesian product of SVNG’sand join of SVG's. Further, we have described the concept of single-valued neutrosophic R-dynamic edge coloring and provided some examples and theorems.

This paper introduced the concept of neutrosophic multi topological space. The definitions of the interior, closure, exterior, and boundary of neutrosophic multiset is defined and also, its propositions will be studied with examples.

Plithogenic Hypersoft set is the multi-argument function with plithogenic universe of discourse and single dominant attribute value. The theory of plithogenic sets deals with the attributes and it is of the form (P, a, V, d, c) characterized by the degree of appurtenance and contradiction. This paper introduces the approach of plithogenic hypersoft sets with two independent dominant attribute values pertaining to each attribute to handle the dual system of decision making. The proposed decision-making model is validated with the data of the present COVID -19 pandemic situations. The objective of the model is to rank the patients being identified as asymptotic and affected using the Frequency Matrix Multi Attributes Decision-making system. Combined plithogenic hypersoft representations of the degree of appurtenance between the patients and the attribute values make the decision-making model more comprehensive and feasible. The developed model can be extended to another decision-making environment with various forms of the degree of appurtenance.