Broumi Said

• PHD
• PhD at University of Hassan II Casablanca

The applications of Neutrosophic theory are reflected in various spheres of real life. The comprehensive and flexible nature of these neutrosophic sets makes the researchers to develop neutrosophic decision-making models. This research work proposes neutrosophic based deep learning decision model to determine the optimal match between the players a...

In the domain of optimization, linear programming (LP) is recognized as an exceptionally effective method for ensuring the most favorable outcomes. Within the context of LP, the minimum cost flow (MCF) problem is fundamental, with its primary objective being to reduce the transportation costs for a single item moving through a network, under the co...

In this article, we introduce and establish a novel concept called ’cubic spherical linguistic neutrosophic topological spaces’ by employing cubic spherical linguistic neutrosophic sets and topological frameworks. Various foundational definitions, theorems, and properties are provided along with illustrative examples.

Chronic kidney disease (CKD) represents a significant global health challenge in society, and early detection of risk is essential for on-time treatment and intervention. This research suggests a novel machine-learning technique to create a reliable and accurate CKD risk prediction model by combining neutrosophic logic with various classification...

A new area of study called "neutrosophic graph theory" uses neutrosophic logic to expand on traditional graph theory to include ambiguous, indeterminate, and uncertain information. This paper gives a thorough introduction to neutrosophic graphs, including their definition, components, uses, and difficulties. Neutrosophic graphs let you show and ana...

The A* search algorithm is widely utilized to evaluate the shortest path in a given network. However, in a traditional A* search algorithm, the nodes are assumed to have crisp values, i.e., a single value. This assumption may not hold in many real-world scenarios where uncertainty or ambiguity is involved. In such cases, an interval-valued Neutroso...

In the context of ensuring timely and equitable healthcare access in a nation like India, the chapter investigates the concept of balanced neutrosophic fermatean graphs, a specialized form of graph theory that offers a means to establish evenly distributed network connectivity and balanced topologies. The exploration extends to self-complementary a...

The concept of the fuzzy neutrosophic soft matrix (NSM) has advanced by integrating the neutrosophic set (NS) with a soft set to manage uncertain data. The recently introduced theory of fuzzy quadripartitioned NSM generalizes the NSM. Within this quadripartitioned single-valued (QSV) NS, the indeterminacy function’s partition is categorized into co...

A special issue of the International Journal in Information Science and Engineering “Neutrosophic Sets and Systems” (vol. 71/2024) is dedicated to the Conference on NeutroGeometry, NeutroAlgebra, and Their Applications, organized by the Latin American Association of Neutrosophic Sciences. This event, which took place on August 12-14, 2024, in Havan...

Neutrosophic sets are a type of mathematical object that can be used to model indeterminacy and inconsistent information. They are defined using three degrees of membership: truthfulness, indeterminacy, and falsity. Single-valued Fermatean neutrosophic sets (SVFNSs) and interval-valued Fermatean neutrosophic sets (IVFNSs) are two specific cases of...

This volume contains the proceedings of the Mediterranean Conference on Neutrosophic Theory (MeCoNeT 2024), held at the Accademia Peloritana dei Pericolanti of the University of Messina on September 24-25, 2024. The event was organized by the MIFT Department (Mathematics, Computer Science, Physics, and Earth Sciences) of the University of Messina,...

A special issue of the International Journal in Information Science and Engineering “Neutrosophic Sets and Systems” (vol. 69/2024) is dedicated to the Neutrosophic approaches in research, on the occasion of the international and multidisciplinary conference held at the Universidad César Vallejo in Lima, Peru, on July 8 and 9. This event marks a sig...

This study discusses the use of t-neutrosophic graphs to express and understand complex interactions. It also shows how these graphs might manage intricate relationships with a wide range of variables or scenario elements. Additionally, it offers fundamental t-neutrosophic graph operations and talks about concepts in these graphs such as homomor...

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets, and their combinations have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. A neutrosophic set has the potential to be a general framework for uncertainty analysis in various spectra. On the o...

Uncertainty is an inherent characteristic of actual control systems since their parameters are not fixed and may change based on external factors. The behaviour and performance of control systems can be strongly impacted by these unknown characteristics. Variability in the environment, ageing of core components, and manufacturing tolerances are som...

We are pleased to announce the first international congress: Mediterranean Conference on Neutrosophic Theory (MeCoNeT 2024) which will be held in Messina, Italy at the Accademia Peloritana dei Pericolanti on 24th and 25th September 2024 in a hybrid format, i.e. ensuring participation both in presence and online on the Teams platform. MeCoNeT 2024 i...

In The traveling salesman problem (TSP) is an essential and the most popular conventional combinatorial optimization network problem in operations research, in which the TSP evaluates the shortest route or path in a network. In TSP, every node has been visited only once, excluding the starting node. In TSP, edge lengths are usually expressed to ind...

Fuzzy sets have long been employed to handle imprecise and uncertain information in the real world, but their limitations in dealing with incomplete and inconsistent data led to the emergence of neutrosophic sets. In this thought-provoking book, titled Data-Driven Modelling with Fuzzy Sets: A Neutrosophic Perspective, the authors delve into the the...

The primary purpose of this report is to present an idea that is considered one of the main ideas in neutrosophic binary topological spaces. We plead them the axioms of neutrosophic binary separation axioms associated in the neutrosophic binary kernel. Also we studied its characteristics and the relationships between these new neutrosophic binary s...

The primary purpose of this report is to present an idea that is considered one of the main ideas in neutrosophic binary topological spaces. We plead them the axioms of neutrosophic binary separation axioms associated in the neutrosophic binary kernel. Also we studied its characteristics and the relationships between these new neutrosophic binary s...

All rights reserved. The authors of the articles do hereby grant Neutrosophic Systems with Applications a nonexclusive, worldwide, royalty-free license to publish and distribute the articles in accordance with the Budapest Open Initiative: this means that electronic copying, distribution, and printing of both full-size versions of the journal and t...

Jaikumar, R. V., Sundareswaran, R., Broumi, S., & Al-Hawary, T. A. (2024). Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities. Journal of fuzzy extension and applications, 5(1), 86-99. Abstract The notion of Fuzzy Graphs (FGs) and Intuitionistic Fuzzy Graphs (IFGs) is generalized in t...

The Neutrosophic Bonferroni operator is a novel operator that we provide in this paper. Then the arithmetic operations for Neutrosophic Bonferroni operator is developed which tells the existence of Neutrosophic Bonferroni operator. Then its properties were discussed with special cases. To group decision-making issues with several attributes, arithm...

Chapter 8: Quota Harvesting Logistic Growth Model: A Neutrosophic Differential Equation Approach

Neutrosophic sets play a crucial role in handling uncertainty, ambiguity, and indeterminacy in numerous theories. They are a kind of extension of the two types of fuzzy sets and intuitionistic fuzzy sets. In the context of modeling drug diffusion within human connective tissues, a differential equation is employed within the neutrosophic framework,...

The goal of this article is to establish a methodology for ordering of single-valued neutrosophic numbers (SVN-numbers) on the basis of values and ambiguities. First of all, the idea of neutrosophic numbers is discussed, and (α, β, γ)-cut and arithmetic oprations definecd over SVN-numbers are examined. Thereafter ,corresponding to each components,t...

This paper recommends and designs concepts for evaluating the shortest path (SP) for a connected network using a modified breadth-first search algorithm in an uncertain environment. Evaluating the SPs of a network is an essential and extensively encountered optimization problem. Here we develop a new method for determining the SP in a neutrosophic...

Dijkstra’s algorithm (DA) is a very popular approach for finding the shortest route (SR) in the shortest route problem (SRP). The SRP becomes a challenging and complex problem in real life scenarios. The Fermatean neutrosophic set is a mathematical model that combines Fermatean sets with neutrosophic sets. It can handle the unclear, ambiguous, inco...

This study introduces the Spherical Fermatean Neutrosophic Sets (SFNSs), representing a significant advancement in the realm of Neutrosophic Sets (NSs) and Fermatean neutrosophic sets (FNSs). In decision making scenarios involving diverse perspectives, a mere average of decision values may fail to capture the entire spectrum of viewpoints. To addre...

This study presents an innovative approach to cloud service provider selection using the spherical Fermatean neutrosophic Bonferroni mean. As organizations increasingly rely on cloud services, selecting the optimal provider becomes critical, necessitating robust multi criteria decision making methods. Traditional approaches often fall short in capt...

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets, and their combinations have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. A neutrosophic set has the potential to be a general framework for uncertainty analysis in various spectra. On the othe...

Decision making methods integrated with Plithogenic sets are highly feasible and resilient in designing optimal solutions. This research work identifies the research gaps of limited applications of combined plithogenic hypersoft sets (CPHSS) and hence proposes a supplier selection decision problem with an integrated approach combining CPHSS with MC...

Over the past few years, we have seen the spread of wireless networks in institutions, businesses, and private homes. Their wide variety, market availability, and ease of implementation have made this wireless technology more popular than wired networks. Nevertheless, enterprises are still demanding better quality of service to meet the needs of se...

In this paper, a maple code is presented to do many operations on interval valued neutrosophic matrices including entering the elements of the matrix, checking whether a given matrix is an interval valued neutrosophic matrix or not, finding complement of an interval valued neutrosophic matrix, finding score, accuracy, and certainty measures, union...

This is Volume 59 of Neutrosophic Sets and Systems, a special issue about symbolic n-plithogenic algebraic structures and their applications

In this paper, we introduce and study the concept of neutrosophic submodules and neutrosophic primary sub-module with the help of the definition of a radical submodule, and we also study the properties of these submodules. Furthermore, homomorphic image and preimage of neutrosophic primary submodule are investigated .

Contemporary mathematical techniques have been crafted to address the uncertainty of numerous real-world settings, including Fermatean neutrosophic fuzzy set theory. Fermatean neutrosophic fuzzy set is an extension of combining Fermatean and neutrosophic sets. Fermatean neutrosophic set was developed to enable the analytical management of ambiguous...

In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for D − topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic D − topological space in neutrosophic topological space, we also obtained some properties that sh...

The Neutrosophic Set (Nset) represents the uncertainty in data with fuzzy attributes beyond true and false values independently. The problem arises when the summation of true (Tr), false (Fa), and indeterminacy In values crosses the membership value of one, that is, Tr+In+Fa<1. It becomes more crucial during decision-making processes like medical d...

In this paper, we present the Pythagorean neutrosophic interval valued fuzzy soft set. This is a generalization of the Pythagorean interval valued fuzzy soft set as well as the neutrosophic interval valued fuzzy soft set. It is discussed in this paper how an aggregated operation is used to aggregate the decision matrix of PNIVS. There are a number...

In contrast to the Pythagorean interval valued fuzzy soft set and the neutrosophic interval valued fuzzy soft set, the Pythagorean neutrosophic interval valued fuzzy soft set is a generalization of these sets. We discuss aggregating PyNIVFS decision matrixes by using aggregated operations. The VIKOR method, which is an extension of neutrosophic fuz...

In this study, a Neutrosophic technique and arithmetic ranking operations are employed to group decision-making problems with many qualities. The outcome is contrasted with the current approach. When compared to the current method, the proposed method is much more manageable and useful for solving group decision making problems involving several qu...

Multicriteria group decision-making scenarios with a large number of criteria values may be challenging for experts to control. This is a result of the specialists' need to consider an excessive amount of data. They find it difficult to make the optimal decision since the possibilities overwhelm them. We propose a novel multicriteria group decision...

Graph theory is a developing field which has many advancements and developments in real-life applications. Although graph theory has rapid growth in modeling real-life issues, some vague details in real-life problems are hard to picture using the usual graph. Fuzzy graph theory is known for its applications in modeling the human thinking, which has...

Industry 5.0 acceptance is accelerating, but research is still in its infancy, and existing research covers a small subset of context-specific obstacles. This study aims to enumerate all potential obstacles, quantitatively rank them, and assess interdependencies at the organizational level for Industry 5.0 adoption. To achieve this, we thoroughly r...

In this research, we are examining a study that enables us to generate Neutrosophical random variables that follow probability distributions based on Neutrosophical random numbers that follow for the uniform distribution, using the rejection and acceptance method, which depends on the largest value taken by the probability density function of the d...

A key aspect of human cognition is learning, a universal process that all humans undergo. In order to learn or improve one's knowledge and abilities, it integrates influences from the cognitive, emotional, and environmental spheres. There are vast amounts of studies and a wide range of hypotheses that attempt to describe the workings of the learnin...

Correlation is a statistical measure that expresses the extent to which two variables are linearly related. It's a common tool for describing simple relationships without making a statement about cause and effects. Correlations are useful for describing relationships among data. In this chapter, the authors are applying the correlation coefficient...

The education system of a country to its citizens determines its success. The primary goal of providing education is to mold a person's entire personality and shape his career. Everyone, regardless of caste, creed, religion, gender, or any other factor, must have access to their choice's high-quality and indiscriminate education. At present, povert...

In the community of generalized fuzzy sets, the notion of single-valued neutrosophic sets (SVNSs) enables individuals to express their preferences by processing the indeterminate information, thus it plays a significant role in intelligent information processing. For addressing teamwork assessment tasks in the education setting, this chapter concen...

One of the components of the educational teaching process is evaluation. The teacher evaluates the students at different moments of the course, to control that they adequately comply with the general and specific objectives that are proposed in the curriculum. This chapter describes a software called “Students' Skills Evaluator 1.0,” designed by th...

The field of education is witnessing paradigm changes, especially with reference to characterization of teachers and their roles. The inception of digital learning portals has widened the information sources of the learners and masked the belief of teachers as the only pool of knowledge. The mutating pedagogies have defined teacher as a facilitator...

The directed rough fuzzy graph (DRFG) is a fusion of rough and fuzzy theory, as it deals with incomplete and vague information simultaneously. Connection or the strength of connectivity (SC)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \us...

Let N = (V, E) be a simple graph and let X be a subset of V (N). If every node not in X lies on a geodesic path between two nodes from X then it is called a geodetic set. The geodetic number g (N) is the minimum cardinality of such set X. The subset X is called a dominating set if every node not in X has at least one neighbour in X. The minimum num...

This paper provided new concepts of neutrosophic crisp continuous functions named neutrosophic crisp αg-continuous, neutrosophic crisp gα-continuous, neutrosophic crisp gαg-continuous, neutrosophic crisp gαg*-continuous and neutrosophic crisp gαg**-continuous functions and their relations.

Face-on-Face interaction constitutes an integral part of the classroom atmosphere as it provides teachers with an opportunity to understand their students intimately. Hence, this study deals with attribute based double bounded rough neutrosophic set driven random forests using Gini Impurity based split to arrive at a decision regarding the teaching...

It is well known that the unpredictable speech production brought on by stress from the task at hand has a significant negative impact on the performance of speech processing algorithms. Speech therapy benefits from being able to detect stress in speech. Speech processing performance suffers noticeably when perceptually produced stress causes varia...

Security system is the process of developing, adding, and testing security features within applications to prevent security vulnerabilities against threats such as unauthorized access and modification. The implementation of such secure message passing protocols and the best, most dependable computing algorithms are made possible by hyperideal archi...

In this paper we have successfully constructed the literal neutrosophic Kumaraswamy probability distribution. We mean by literal neutrosophic probability distribution that parameters of the distribution and the values that the random variable describing the distribution all take literal neutrosophic numbers of the form = + ; 2 = which differs from...

Business firms prefer software-based smart manufacturing systems to monitor and supervise all production activities in a decentralized manner. The choice of software decides the degree of manufacturing robustness. This paper proposes a neutrosophic-based MARCOS (Measurement of Alternatives and Ranking according to COmpromise Solution) method of MCD...

In this paper, we delivered pioneering notions of closed sets in the neutrosophic crisp sense. In other words, we discussed sg-closed sets, gs-closed sets, and gsg-closed sets in neutrosophic crisp topological space. Moreover, the subsequent innovative ideas are established, for instance, gsg-closure and gsg-interior in neutrosophic crisp topologic...

In this article, we presented a ranking system based on the sign distance in a new direction, such that to compare different single-valued neutrosophic numbers (SVN-numbers), a decision maker has the chance of flexibility. We also developed some important definitions, like level-(α,β,γ) neutrosophic point, and some properties related to the sign di...

Graph theory is a developing field which has many advancements and developments in real-life applications. Although graph theory has rapid growth in modeling real life issues, some vague details in real-life problems are hard to picture using the usual graph. Fuzzy graph theory is known for its applications in modeling the human thinking, which has...

Vagueness and uncertainty are two distinct models are represented by Fuzzy sets and Soft sets. The combination of Soft sets and simple graphs produces soft graphs which is also an interesting concept to deal with uncertainty problems. Any communication network can be modelled as a graph whose nodes are the processors (stations) and a communication...

The interval-valued quadripartitioned neutrosophic set is represented by the partition of the interval-valued neutrosophic set’s indeterminacy function into contradiction and ignorance parts. This article introduces the properties of interval quadripartitioned single valued neutrosophic graph. The properties like complementary, self-complementary,...

During the production process, production companies need to monitor the finished products and ensure their quality, which imposes on them the appointment of inspectors for auditing, and this appointment costs the company amounts that affect the general profit, so it strives to make this cost as low as possible and that the audit process is carried...

The directed rough fuzzy graph (DRFG) is a fusion of rough and fuzzy theory, because it deals with incomplete and vague information simultaneously. Connection or the strength of connectivity (SC) is vital in the realm of circuits or networks that are linked to the real world. As a result, SC is one of the most essential aspects of a directed rough...

The following paper introduces a methodology to calculate the least cost for a directed network through the Travelling salesman problem. The dynamic programming method is used to find the minimum cost. The recursion formula is used. The edge weights of the networks are being taken in terms of Triangular, Trapezoidal and Pentagonal Neutrosophic sets...

Medical images are essential in contemporary medicine because they provide practicable entropy, which is used to diagnose medical conditions. It is useful to visualize abnormality in several parts of the body. Image segmentation in the medical has an important function in various applications in diagnosis systems. Researchers have become interested...

This research article represents an innovative concept in Plithogenic Combined Disjoint Block Fuzzy Cognitive Maps (PCDBFCM) and its applications. PCDBFCM is a very useful tool in grouping the factors with contradiction degree of multiple attributes. A plithogenic fuzzy matrix is used to represent the connection matrix. The resultant vector is obta...

The Neutrosophic number is defined to solve the vagueness of the real-life problem and to analysis the indeterminacy of the problem, the paper defines a special single valued Decagonal Neutrosophic number and De-Neutrosophication formula are formulated using the removal area method and a numerical practical example is illustrated of network path ed...

Indeed, one of the most well-known topics in the area of graph theory is the shortest path (SP) problem, which has practical applications in various areas of research, including transportation, communication via networks, life-saving services, fire department services, etc. The edges of the connected SP problems are typically characterized by vario...

In general, companies are investing a lot of energy and time in conserving the quality of the products. The customers use the attribute of quality as the measuring index of the efficiency of these companies. Quality sustenance is not a phase, but it is a process which must be carried out till the product reaches the end consumer. This is possible b...

This article employs the conception of neutrosophic generalized -closed sets to construct a further weakly class of neutrosophic contra continuous mappings for instance neutrosophic contra generalized -continuous mappings via neutrosophic topological spaces. Additionally, essential related attributes and various theorems and related features and no...

In this study, we presented a new generalization of the Fermatean interval valued fuzzy soft set (FIVFSS) and the neutrosophic interval valued soft set called the neutrsophic Fermatean interval valued soft set (NSFIVSS). The NSFIVSS decision matrix aggregated operations are the topic of our current discussion. Strong points of view for the generali...

We discuss innovative square root Diophantine neutrosophic normal interval-valued set (SRDioNSNIVS)-based approaches to multiple attribute decision-making (MADM) problems. Square root neutrosophic sets, interval-valued Diophantine neutrosophic sets and neutrosophic normal interval-valued (NSNIV) sets are both extensions of square root Diophantine n...

In this work, we define Interval-valued Fermatean neutrosophic graphs and present some operations on Interval-valued Fermatean neutrosophic graphs. Further, we introduce the concepts of Regular interval-valued Fermatean neutrosophic graphs, Strong interval-valued Fermatean neutrosophic graphs, Cartesian, Composition, Lexicographic product of interv...