Assia Bakali

Single valued neutrosophic graphs: Degree, order and size

The single valued neutrosophic graph is a new version of graph theory presented recently as a generalization of fuzzy graph and intuitionistic fuzzy graph. The single valued neutrosophic graph (SVN-graph) is used when the relation between nodes (or vertices) in problems are indeterminate. In this paper, we examine the properties of various types of degrees, order and size of single valued neutrosophic graphs and a new definition for regular single valued neutrosophic graph is given.

An Introduction to Bipolar Single Valued Neutrosophic Graph Theory

In this paper, we first define the concept of bipolar single neutrosophic graphs as the generalization of bipolar fuzzy graphs, N-graphs, intuitionistic fuzzy graph, single valued neutrosophic graphs and bipolar intuitionistic fuzzy graphs.

Decision-making method based on the interval valued neutrosophic graph

In this article, we extend the concept of neutrosophic graph-based multicriteria decision making method (NGMCDM) to the case of interval valued neutrosophic graph theory. The new concept is called interval valued neutrosophic graph-based multicriteria decision making method (IVNGMCDM for short). Finally, an illustrative example is given and a comparison analysis is conducted between the proposed approach and other existing methods, to verify the feasibility and effectiveness of the developed approach.

Shortest Path Problem under Bipolar Neutrosphic Setting

This main purpose of this paper is to develop an algorithm to find the shortest path on a network in which the weights of the edges are represented by bipolar neutrosophic numbers. Finally, a numerical example has been provided for illustrating the proposed approach.

Shortest path problem on single valued neutrosophic graphs

A single valued neutrosophic graph is a generalized structure of fuzzy graph, intuitionistic fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs and intuitionistic fuzzy graphs. This paper addresses for the first time, the shortest path in an acyclic neutrosophic directed graph using ranking function. Here each edge length is assigned to single valued neutrosophic numbers instead of a real number. The neutrosophic number is able to represent the indeterminacy in the edge (arc) costs of neutrosophic graph. A proposed algorithm gives the shortest path and shortest path length from source node to destination node. Finally an illustrative example also included to demonstrate the proposed method in solving path problems with single valued neutrosophic arcs.

Shortest path problem under triangular fuzzy neutrosophic information

In this paper, we develop a new approach to deal with neutrosphic shortest path problem in a network in which each edge weight (or length) is represented as triangular fuzzy neutrosophic number. The proposed algorithm also gives the shortest path length from source node to destination node using ranking function. Finally, an illustrative example is also included to demonstrate our proposed approach.

Novel SDN architecture for smart MPLS Traffic Engineering-DiffServ Aware management

Abstract Large scale networks are still a major challenge for management, guarantee a good level of Quality of Service (QoS) and especially optimization (rational use of network resources). Multi-Protocol Label Switching (MPLS), mainly used in the backbone of Internet service providers, must meet these three major challenges. Software-Defined Network (SDN), is a paradigm that allows, through the principle of orchestration and layers abstraction, to manage large scale networks through specific protocols. This paper presents a new SDN-based architecture for managing an MPLS Traffic Engineering Diffserv Aware (DS-TE) network. The architecture manages the QoS and routing with QoS constraints, following a new smart and dynamic model of allocation of the bandwidth (Smart Alloc). The proposed architecture is suitable for SDN equipment and especially the legacy equipment. We tested our architecture by simulation on a hybrid network made up of SDN equipment and another legacy. The results of the simulation showed that thanks to our architecture we can not only efficiently manage hybrid architectures but also achieve good QoS levels for convergent traffic. The performance evaluation was performed on VoIP, video, HTTP, and ICMP traffic increasing packet load.

Neutrosophic Sets: An Overview

In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations. Then we introduce triangular neutrosophic numbers, trapezoidal neutrosophic fuzzy number and their basic operations. Also some comparative studies between the existing neutrosophic sets and neutrosophic number are provided.

An Isolated Bipolar Single-Valued Neutrosophic Graphs

In this research paper, we propose the graph of the bipolar single-valued neutrosophic set (BSVNS) model. This graph generalized the graphs of single-valued neutrosophic set models. Several results have been proved on complete and isolated graphs for the BSVNS model. Moreover, an essential and satisfactory condition for the graphs of the BSVNS model to become an isolated graph of the BSVNS model has been demonstrated.

Bipolar Complex Neutrosophic Graphs of Type 1

In this paper, we introduced a new neutrosophic graphs called bipolar complex neutrosophic graphs of type1(BCNG1) and presented a matrix representation for it and studied some properties of this new concept. The concept of BCNG1 is an extension of generalized fuzzy graphs of type 1 (GFG1), generalized single valued neutrosophic graphs of type 1 (GSVNG1), Generalized bipolar neutrosophic graphs of type 1(GBNG1) and complex neutrosophic graph of type 1(CNG1.