Investigating Inclusion, Neighborhood, and Partial Sums Properties for a General Subclass of Analytic Functions

Mohamed; Maisarah Haji; Feras; Shamani

doi:https://doi.org/10.54216/IJNS.250341

International Journal of Neutrosophic Science | 2025

An Exploration of Hesitant Fuzzy Normed Linear Space

In this paper, the notion of hesitant fuzzy norm based on the Bag-Samanta’s Type Fuzzy Norm on linear space has been introduced. Further the concepts of ascending family of semi-norms, convergence and fuzzy continuous linear operators are studied in hesitant fuzzy normed linear space.

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Prakasam Muralikrishna mail -

Krishnamoorthy Kavitha mail

link https://doi.org/10.54216/IJNS.250333

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

The neutrosophic-based analysis assessment framework: An assessment strategy to promote soft computing in educational contexts

Today's educational assessment strategies require innovation and digital transformation in order to overcome biases towards data orientation in uncertain, ambiguous, and fuzzy conditions. Neutrosophic-based analysis techniques in educational assessment provide a thoughtful and highly effective approach to calibrating student learning abilities. However, there is a lack of access to resources and complete guidance on implementing soft computing methods like neutrosophic sets, resulting in a gap in knowledge and practice. Research and development have shown that neutrosophic-based analysis techniques can explain the formulation and algorithms used in multi-criteria decision-making approaches. Since educational assessment also involves decision making, this paper proposes a neutrosophic-based analysis assessment framework aimed at transforming assessment strategies in education to promote soft computing. The development of this paper will begin by reviewing the literature and conducting a preliminary study, highlighting the benefits of the neutrosophic set, and then forming a framework and operational design for the assessment strategy in a systematic manner. Illustrations with numbered data will be used to explain the suitability and usability of this framework for real educational assessment. The implications of calibrating the factors that have the strongest influence on students' mathematics learning demonstrate that this assessment framework can be expanded as an innovative and flexible approach to assessment, capable of improving the efficiency of data analysis in real learning environments. This framework and initiative can be used synergistically to improve the quality of education by incorporating digital elements and providing strong support for the Sustainable Development Goal (SDG).

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Mohamad Ariffin Abu Bakar mail -

Ahmad Termimi Ab Ghani mail -

Mohd Lazim Abdullah mail

link https://doi.org/10.54216/IJNS.250334

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

Solutions and convergence arguments for systems of hyperbolic time-fractional partial differential equations

In order to solve hyperbolic fractional partial differential equations, this paper develops the Sumudu decomposition method. This method is based on solving time-fractional hyperbolic partial differential equations either individually or in systems using the Sumudu transform. Adomian polynomials whose values are chosen by a specific formula are used to solve the non-linear terms. The developed method’s convergence and stability are discussed. Example such as the shallow water equations, which serve as illustrations of the fractional derivatives as defined by Caputo, is used to show the validity and applicability of the proposed method. It is discovered that the procedure is rapid and precise

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Kamel Al-Khaled mail -

Adel Almalki mail -

Amer H. Darweesh mail -

Amal Sawalmeh mail

link https://doi.org/10.54216/IJNS.250335

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

Fekete-Szeg¨o and Second Hankel Determinant for a Certain Subclass of Bi-Univalent Functions associated with Lucas-Balancing Polynomials

In this paper, a new subclass of bi-univalent functions linked to Lucas-Balancing polynomials is introduced. Bounds for the coefficients in the Taylor-Maclaurin series, denoted as |a2| and |a3|, are determined for these functions. The Fekete-Szeg¨o functional problems are also addressed, and bounds for the second Hankel determinant for functions in this specific subclass are established. Additionally, it is shown that by adjusting the parameters in the main findings, several new results can be derived.

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Abdulmtalb Hussen mail -

Mohamed Illafe mail -

Abdelbaset Zeyani mail

link https://doi.org/10.54216/IJNS.250336

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs

The objective of this paper is to introduce the concept of Weak Fuzzy Complex differential equations. We have defined the general solution of the n-th order Weak Fuzzy Complex ordinary differential equation. That we have used a special isomorphism transformation function to write the WFC-ODE as two Real ODEs and solved them with respect to their own variables. Then, by the inverse of the transformation function, we have got the general solution in F (J) as a structure of two general solutions in R. Therefore, we have shown some types of first-order first-degree separable, exact, and linear WFC-ODEs. Also, we have found their general solutions with examples to demonstrate them.

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Hussein Edduweh mail -

Ahmed Salem Heilat mail -

Lama Razouk mail -

Sara A. Khalil mail -

Ahmed Atallah Alsaraireh mail -

Abdallah Al-Husban mail

link https://doi.org/10.54216/IJNS.250338

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

Regular-Closed Functions Between Soft Topological Spaces

The object of the present paper is to introduce a new class of soft functions called soft regular-closed functions. This class contains the class of soft closed functions. Numerous theorems that give properties of such soft functions are presented. Moreover, sufficient conditions for a soft function to be soft regular-closed are given. In addition, several preservation theorems of soft separations axioms using soft regular-closed are given. Finally, the correspondence between this class of soft functions and the class of regular-closed functions in classical topology is studied.

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Jawaher Al-Mufarrij mail -

Samer Al-Ghour mail

link https://doi.org/10.54216/IJNS.250337

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

Fermatean Neutrosophic Soft Set

This paper aims to introduce a new concept which is Fermatean Neutrosophic Soft Set (FNSS), which is a combination of the Neutrosophic soft sets and Fermatean Fuzzy Sets. Some operations and properties of the new model, including complement, restricted union, and extended intersection are discussed. Further, an application of FNSS is modeled for multiple attribute decision-making and solved with the help of our newly launched algorithm, that is, the selection of the most attractive laptop based on a computer simulation report. Finally, a comparative analysis between the initiated FNSS model and some existing approaches is provided to show its reliability.

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Shawkat Alkhazaleh mail -

Hamzeh Zureigat mail -

Belal Batiha mail -

Areen Al-khateeb mail -

Abedallah Al-shboul mail

link https://doi.org/10.54216/IJNS.250339

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

Shape preserving monotonic and convex data interpolation using rational cubic ball functions

In this study, a rational cubic Ball function has been used to preserve the shape of monotonic and convex data. Conditions for shape preservation were drawn from the data and imposed on the free parameters of the interpolant function in such a way as to preserve the shape of the data. The interpolant is C1, which is continuous and visually pleasant function. The outputs of a number of numerical examples are presented.

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Ayser Nasir Tahat mail -

Jafar Husni Ahmed mail -

Ayman Hazaymeh mail

link https://doi.org/10.54216/IJNS.250340

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

Entropy Measure on Selection of Cloud Computing using Bipolar Neutrosophic Environment Utilizing Topsis Method

Multi-criteria decision-making is essential for resolving issues in the real world. The choice of cloud computing services on the basis of service quality is solved in this paper using bipolar-neutrosophic circumstances. The removal area approach is used to carry out the de-bipolarization technique. The results have been compared with other methods found in the research to determine which method provides better cloud service.

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Abraham D. Egan L. mail -

A. Rajkumar mail -

N. Jose Parvin Praveena mail -

broumi said mail

link https://doi.org/10.54216/IJNS.250342

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new

International Journal of Neutrosophic Science | 2025

Investigating Inclusion, Neighborhood, and Partial Sums Properties for a General Subclass of Analytic Functions

The study of geometric properties within the subclass of analytic functions has garnered significant attention in recent years due to its complex and intricate interplay between geometric function theory and complex analysis. This area of study provides deep insights into both mathematical theory and its practical applications. The exploration of these properties is not only of theoretical interest but also offers valuable implications for various applications in mathematical and engineering disciplines. In particular, this paper focuses on a detailed examination of the inclusion, neighborhood, and partial sums properties within a broad and general subclass of analytic functions. This class of functions is defined through a generalized multiplier transformation operator, which adds a layer of complexity to their analysis. By investigating these specific properties, this study aims to validate and build upon many existing findings documented in the literature, offering new perspectives and contributing to a deeper understanding of the field.

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Mohamed Illafe mail -

Maisarah Haji Mohd mail -

Feras Yousef mail -

Shamani Supramaniam mail

link https://doi.org/10.54216/IJNS.250341

Volume & Issue

Vol. Volume 25 / Iss. Issue 3

Details open_in_new