Yousef Al-Qudah

Amman Arab University · Department of Mathematics

In this paper, we extend the two concepts of bipolar fuzzy sets and soft expert sets to bipolar fuzzy soft expert sets. We will define its basic theoretic operation, namely complement, union, intersection, AND and OR on bipolar fuzzy soft expert sets along with illustrative examples, and study some related properties with supporting proofs. The bas...

In this paper, we introduce the concept of complex multi-fuzzy sets (CMk FSs) as a generalization of the concept of multi-fuzzy sets by adding the phase term to the definition of multi-fuzzy sets. In other words, we extend the range of multi-membership function from the interval [0,1] to unit circle in the complex plane. The novelty of CMkFSs lies...

We introduce a new type of relations called complex multi-fuzzy relation (CMFR). The novelty of CMFR lies in the ability of complex multi-membership functions to achieve more range of values while handling uncertainty of data that is periodic in nature. The application of complex multi-fuzzy sets is then discussed in determining: the influence of m...

We develop a novel mathematical tool known as complex multi-fuzzy soft set (CMFSS) which has the ability to handle uncertainties, imprecision and vagueness of information that are inherent in the data by considering the amplitude and phase terms of the complex numbers simultaneously. This CMFSS constitutes of a hybrid structure of multi-fuzzy set a...

Decision-making theory is an effective way to help the decision-maker take the right path to solve a problem. Among the applications of this theory is the medical field, i.e. allowing the decision maker (doctor) to analyze patient data and judge the result of this analysis as to whether the patient is infected or not. In this path and to enrich thi...

Fuzzy logic is an excellent way to deal with the inherent unpredictability and ambiguity in making judgments, and the idea of spherical fuzzy sets is one of the most recent advancements in this field. Since the squared total of membership, non-membership, and hesitation degrees should be between 0 and 1 and each degree should be defined in [0, 1],...

For an undirected connected graph G = G(V, E) with vertex set V(G) and edge set E(G), a subset R of V is said to be a resolving in G, if each pair of vertices (say a and b; a ≠ b) in G satisfy the relation d(a, k) ≠ d(b, k), for at least one member k in R. The minimum set R with this resolving property is said to be a metric basis for G, and the ca...

The concept of Fermatean fuzzy set offers a more comprehensive perspective on Pythagorean fuzzy sets, with greater potential for practical applications due to its broader scope compared to Pythagorean fuzzy sets. In contrast, distance measures serve as effective information measures in decision-making using deep learning methods. This research pape...

A soft expert set is widely used as a tool to solve and model the problems appearing in computer science and operations research. It aims to incorporate expert knowledge and uncertainty-handling capabilities into the analysis and decision-making processes. On the other hand, the idea of single neutrosophic sets (SVNSs) and fuzzy sets (FSs) are impo...

The idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain i...

Soft set(SS) is a powerful tool to handle the vagueness of information in a parametric environment. In other hand the idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordin...

In various real-world scenarios, Fermatean fuzzy sets are commonly used to address fuzzy and uncertain challenges. The degree of similarity between Fermatean fuzzy sets is determined by computing the similarity between Fermatean fuzzy sets. The similarity metric can be used in a variety of activities, including “decision-making,” “pattern recogniti...

A neutrosophic set (NS) is a novel computing technique that accesses uncertain information by using three memberships. The main goal of this study is to come up with a novel approach called the "possibility neutrosophic soft expert set" (PNSE-set), which is based on the idea that each element of the universe of discourse has a certain level of poss...

To deal with situations involving uncertainty, Fermatean fuzzy sets are more effective than Pythagorean fuzzy sets, intuitionistic fuzzy sets, and fuzzy sets. Applications for fuzzy similarity measures can be found in a wide range of fields, including clustering analysis, classification issues, medical diagnosis, etc. The computation of the weights...

In this article, we consider a reliable analytical and numerical approach to create fuzzy approximated solutions for differential equations of fractional order with appropriate uncertain initial data by the means of a residual error function. The concept of strongly generalized differentiability is utilized to introduce the fuzzy fractional derivat...

A vague soft set is a mapping from a parameter set to the collection of vague subsets of the universal set. In this study, a vague soft relation is presented based on the Cartesian product of vague soft sets. The basic properties of these relations are studied to explain the concept of transitive closure of a vague soft relation. The symmetric, ref...

This study aims to analyze the content of the 9th grade math textbook in Jordan within the framework of Principles and Standards of American National Council of Teachers of Mathematics, through identifying the availability degree of the standards of the mathematical connection, representation and communication.The researchers used the descriptive a...

The purpose of this work is to provide and analyzed the approximate analytical solutions for certain systems of fractional initial value problems (FIVPs) under the time-Caputo fractional derivatives by means of a novel attractive algorithm, called the Laplace residual power series (LRPS) algorithm. It combines the Laplace transform operator and the...

The aim of this work is to introduce for the first time the concept of D-set. This is done by defining a special type of cover called a D-cover. we present some results to study the properties of D-compact spaces and their relations with other topological spaces. Several examples are discussed to illustrate and support our main results. Our results...

In this paper we introduce the notions and concepts of the perfect functions in the bitopological spaces, 9 which yield to two types called p-lindelö perfect and s-lindelö perfect function. Also we study the images and 10 inverse images of certain bitopological properties under these functions.We derive some related results. Finally 11 some product...

In this work, state the risk and treatment of coronary artery disease our aim. The weighted fuzzy parameterized complex multi-fuzzy soft expert set plays the main roads to arrive a maple treatment. We take a reality values of the a asymptotes systolic blood pressure, lowdensity lipoprotein cholesterol, maximum heart rate, blood sugar, old peak and...

From the hybrid nature of cubic sets, we develop a new generalized hybrid structure of cubic sets known as cubic vague sets (CVSs). We also define the concept of internal cubic vague sets (ICVSs) and external cubic vague sets (ECVSs) with examples and discuss their interesting properties, including ICVSs and ECVSs under both P and R-Order. Moreover...

The main motivation behind this paper is to study some structural properties of a non-associative structure as it hasn't attracted much attention compared to associative structures. In this paper, we introduce the concept of an ordered A * G **-groupoid and provide that this class is more generalized than an ordered AG-groupoid with left identity....

Mahgoub Adomian decomposition method (MADM) is used to find the solution of Newell-Whitehead-Segel equation (NWSE). This method is studied for some applications from NWSE. As the results, the method is efficient and easy to use.

In this paper, Mahgoub Adomian decomposition method (MADM), to handle the wave and heat equations, is introduced. The efficiency of the present method will be shown by applying the procedure on four examples.

This paper presents a new approach to time-series applications, called the fuzzy parameterized complex multi-fuzzy soft expert set FPCM kFSE – set. Some operations related to this new concept are defined, such as equal, subset, complement, union and intersection.

In this article we introduce the concept of fuzzy parameterized complex multi-fuzzy soft set (FPCMFS-set) in order to improve the concept of fuzzy parameterized fuzzy soft set to include the time frame which is presented by the phase term which will enable the representation of multi-dimensional data. Some concepts related to FPCMFS-set as well as...

We introduce the concept of a mapping on classes of complex multi-fuzzy soft expert sets through which we can study the images and inverse images of complex multi-fuzzy soft expert sets, along with an illustrative example. The basic operations are proposed and other related properties are put forward.

Contemporary research has refined systems with complex fuzzy sets in order to improve the design and model of real-life applications. Symmetry and antisymmetry are basic characteristics of binary relations used when modeling the decision maker's preferences. A recent focus has been the analysis of a complex data set using the properties of fuzzy co...

We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are represented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously...

In this paper, we extend the two concepts of bipolar fuzzy sets and soft expert sets to bipolar fuzzy soft expert sets. We will define its basic theoretic operation, namely complement, union, intersection, AND and OR on bipolar fuzzy soft expert sets along with illustrative examples, and study some related properties with supporting proofs. The bas...