Nasreen Kausar

This study discusses novel approaches for solving multi-attribute decision-making problems using logarithmic square root vague sets. Logarithmic square root vague sets can be considered as an extension of vague sets and square root fuzzy sets provides a more profitable method to express the uncertainties in the data to deal with decision making pro...

Uncertainty in medical diagnosis is the main challenge in medical emergencies (MEs) experienced by triage nurses and physicians in the emergency department (ED). The intuitionistic fuzzy correlation coefficient (IFCC) approach is used to analyze and interpret the relationship between variables in an uncertain environment. Assorted methods that invo...

A novel three-step simultaneous scheme for finding all distinct and multiple roots of non-linear equations are developed in this paper. Analysis of convergence demonstrates that the newly created scheme has an order of convergence of eight. A hybrid neural network-based simultaneous technique is also developed to expedite convergence. Neural networ...

Differential equations are employed in a variety of engineering and applied mathematics fields, including mechanics, thermodynamics, and general relativity. It is occasionally necessary to deal with multi-index, uncertainty, or restriction dynamics in addition to imprecise, confusing, or insufficient situational information while modelling a wide r...

The complex Pythagorean neutrosophic normal interval-valued set approach solves the multiple-attribute decision-making problem. We introduce the new concepts such as complex Pythagorean neutrosophic normal interval-valued weighted averaging, complex Pythagorean neutrosophic normal interval-valued weighted geometric, complex generalized Pythagorean...

We introduce the concept of Diophantine spherical vague set approach to multiple-attribute decision-making. The Spherical vague set is a novel expansion of the vague set and interval valued spherical fuzzy set. Three new concepts have been introduce such as Diophantine spherical vague weighted averaging operator, Diophantine spherical vague weighte...

Agriculture remains the backbone of Pakistan’s economy, supporting a substantial segment of the rural population. Recently, agritourism has emerged as a viable avenue for economic diversification, offering new income streams in rural communities. This study explores stakeholder perceptions of sustainable development in agritourism and seeks to iden...

The formation of new properties for Bipolar Linear Diophantine Fuzzy Set (BLDFS) enhances the evaluation procedure by including control parameters and meticulously accumulating positive as well as negative opinions. While previous approaches encounter difficulties in accurately grasping uncertainties, the design and development of a novel Bipolar L...

Wearable sensors (WS) play a vital role in health assistance to improve the patient monitoring process. However, the existing data collection process faces difficulties in error corrections, rehabilitation, and training validations. Therefore, the data analysis requires additional effort to reduce the overall problems in sports rehabilitation. The...

This study offers a comprehensive analysis of novel information for linear diophantine multi-fuzzy sets and illustrates its applications in practical scenarios. We introduce innovative similarity metrics tailored for linear diophantine multi-fuzzy sets, including Cosine similarity, Jaccard similarity, and Exponential similarity. Additionally, we pr...

It is essential to solve nonlinear equations in engineering, where accuracy and precision are critical. In this paper, a novel family of iterative methods for finding the simple roots of nonlinear equations based on multiplicative calculus is introduced. Based on theoretical research, a novel family of simple root-finding schemes based on multiplic...

Multi-attribute decision-making problems can be solved using a Fermatean vague set. Fermatean vague sets are extension of vague sets. We initiated generalized Fermatean vague weighted averaging, generalized Fermatean vague weighted geometric, power generalized Fermatean vague weighted averaging and power generalized Fermatean vague weighted geometr...

The problem of insecurity is a global crisis with adverse effects on lives and properties. Fermatean fuzzy correlation coefficient is a dependable method for handling imprecision, which is the main bottleneck of insecurity assessment. A number of Fermatean fuzzy correlation coefficient methods have been developed. Based on Spearman’s correlation co...

Investment refers to allocating funds in the expectation of some benefit in the future which in financial terms is the return. In the presence of various investment alternatives, the decision maker stands confused as to which option would offer him the highest return. Thus, the problem of appropriate investment selection can be treated as a multi-o...

In today's era of data analysis and decision-making, the concept of picture fuzzy sets has emerged as a valuable tool for addressing uncertain real-life problems. Picture fuzzy sets uniquely consider neutral answers and accommodate choices beyond the typical binary yes or no, including the neutral option. However, the application of artificial inte...

The problem of insecurity is a global phenomenon that has several forms like terrorism, banditry, kidnappings, etc. Insecurity has taken hold in the Sub-Saharan Region of West Africa, especially in Nigeria, for over two decades. Nigeria's security crisis is more pronounced in the Northern Region, with a new wave in the North-Central Region of Niger...

The rising need for lithium batteries and growing environmental concerns have prompted the development of advanced sustainable recycling techniques. In this study, a new optimization framework, multi-objective goal programming, enhances the efficiency, effectiveness and sustain ability of lithium battery recycling processes.

The solution of non-linear equations is one of the most important and frequent problems in numerous engineering and scientific disciplines. Numerous real-world issues can be described using non-linear equations in a variety of scientific fields, including natural science, social science, electrical, chemical, and mechanical engineering, economics,...

Abstract: Underwater gliders have become a focal point in marine research due to advancements in maritime technologies and the increasing demand for versatile autonomous underwater vehicles (AUVs) in applications such as oceanography, environmental monitoring, and marine surveillance. This study provides a comprehensive analysis of the critical par...

Group action is defined to support Cayley's claim that every group is isomorphic to a suitable subgroup of a symmetric group. Group actions have a wide range of applications, including the analysis of symmetries of geometric objects and algorithms and cryptographic systems. In 1965, Zadeh introduced the concept of fuzzy sets and provided a mathemat...

Smog is a significant threat in Pakistan, having become a persistent issue in recent years. Excessive industrialization, increased reliance on fossil fuels, and increased automobile emissions have all led to epidemic levels of air pollution. Smog, or air pollution, can pose significant risks to humans and plants due to its harmful effects. Air poll...

We construct the concept of complex cubic neutrosophic subbisemiring (ComCNSBS). We analyze the important properties and homomorphic aspects of ComCNSBS. For bisemirings, we propose the ComCNSBS level sets. A complex neutrosophic subset Γ if and only if each non-empty level set R (℘,κ) , where R = (ℜ T Γ · e iθ ℑ T Γ , ℜ I Γ · e iθ ℑ I Γ , ℜ F Γ ·...

This paper describes a generalized Diophantine fuzzy sets, which can be seen as a generalization of both Diophantine fuzzy sets and Pythagorean fuzzy sets. We define the basic properties of generalized Diophantine fuzzy set, as well as their relationships and distances. We compare Diophantine fuzzy sets with other Diophantine Pythagorean fuzzy sets...

In this paper, we introduce the notion of ♭, ℓ-neutrosophic subsemigroup (NSS), neutrosophic left ideal(NLI), neutrosophic right ideal(NRI), neutrosophic ideal (NI), neutrosophic bi-ideal(NBI), (ϵ, ϵ ∨ q)-neutrosophic ideal, neutrosophic bi-ideal of an ordered Γ-semigroups and discuss some of their properties. The concept of ♭, ℓ-neutrosophic ideal...

On efficient iterative schemes for finding all solutions of non-linear engineering problems. Abstract Nonlinear equations are important in engineering because they may simulate complicated real-world phenomena such as fluid dynamics, material stress, and electrical circuits, where linear assumptions fail. They allow engineers to more correctly esti...

A wide range of scientific fields, including natural science, social science, electrical, chemical, and mechanical engineering, economics, statistics, weather forecasting, and in particular biomedical engineering, can adequately describe a number of real-world scenarios using fractional calculus. Numerous fractional calculus problems can be resolve...

The Type-II Diophantine neutrosophic interval valued soft set (Type-II DioNSIVSS) and related similarity measure are presented in this study. An extension of the neutrosophic interval valued soft set (NSIVSS) and the Diophantine fuzzy soft set is the Type-II DioNSIVSS. The suggested measure for Type-II DioNSIVSS assessment. We support a method of s...

The notion of complex interval-valued q-neutrosophic subbisemiring (CIVqNSBS) is developed and examined. Additionally, we examine the homomorphic features and significant attributes of CIVqNSBS. We suggest the CIVqNSBS level sets for bisemirings. Consider a complex neutrosophic subset of bisemiring Δ, denoted as ℵ if and only if every non-empty lev...

In this manuscript, we delve into the realm of lattice ordered complex linear diophantine fuzzy soft set, which constitutes an invaluable extension to the existing Fuzzy set theories. Within this exploration, we investigate basic operations such as È and , together with their properties and theorems. This manuscript is more amenable in two ways, i....

Food supply networks are vital to the global economy, producing and consuming products worldwide. Supply chain management (SCM) has emerged as a crucial technique to optimize the integrated network of suppliers, factories, warehouses, customers, and distribution channels. SCM aims to ensure efficient raw material sources, transformation, transporta...

The objective of this study is to generalize the roughness of a fuzzy set in three-dimensional structure by introducing ternary multiplication. Many results and theorems of rough fuzzy ideals have been extended from semigroup and semiring, to ternary semiring by introducing the definition of a rough fuzzy subset of ternary semiring. By using the co...

Numerous real-world scenarios can be adequately described by fuzzy fractional calculus in a wide range of scientific disciplines, including natural sciences, social sciences, electrical, chemical, and mechanical engineering, economics, statistics, weather forecasting, and in particular biomedical engineering. In this paper, we proposed a Caputo-typ...

This paper presents a new methodology for solving multiple-attribute decision-making problems (MADMs) using a complex Pythagorean normal interval-valued fuzzy set (CPNIVFS), which is an extended concept of a complex Pythagorean fuzzy set. Four types of different aggregating operations (AOs), including CPNIVF weighted averaging (CPNIVFWA), CPNIVFwei...

In a dynamic world of technological advances, the Internet of Things (IoT) is a transformational and widespread force that has revolutionized the way we communicate with our surroundings and regulate our environments. It offers several advantages but also introduces inherent risks. In this study, we provide a comprehensive analysis of the risks ass...

Investigating algebraic structures in a non-conventional framework supplements mathematics for hard-nosed practical applications to the fields of theoretical biology and computer science. One such algebraic structure is multigroup whose underlying set is a multiset. The genome is the entire set of DNA instructions found within a cell which contains...

The most extended form of a fuzzy set called the Bipolar Linear Diophantine Fuzzy Hypersoft Set is implemented with some basic operations. This is an extraordinary technique for handling uncertainty because it has a choice of reference parameters with auxiliary attributes. A widely used operator named Einstein aggregation operators was developed in...

In this article, multiple attribute decision-making problems are solved using the vague normal set (VNS). It is possible to generalize the vague set (VS) and q-rung fuzzy set (FS) into the q-rung vague set (VS). A log q-rung normal vague weighted averaging (log q-rung NVWA), a log q-rung normal vague weighted geometric (log q-rung NVWG), a log gene...

The objective of this paper is to investigate the innovative concept of complex neutrosophic subbisemiring. The novelty of the complex neutrosophic subbisemiring lies in its wide range of truth, indeterminacy, and false function values. It goes beyond the range of [0, 1] in the complex plane in contrast to the traditional range [0, 1]. Therefore, t...

A notable advancement in fuzzy set theory is the q-rung linear diophantine fuzzy set. The soft set theory was expanded into the hypersoft set theory. By combining both the q-rung linear diophantine fuzzy set and hypersoft set, this study describes the notion of q-rung linear diophantine fuzzy hypersoft set that can handle multi sub-attributed q-run...

This study shows the link between computer science and applied mathematics. It conducts a dynamics investigation of new root solvers using computer tools and develops a new family of single-step simple root-finding methods. The convergence order of the proposed family of iterative methods is two, according to the convergence analysis carried out us...

In this article, we first introduce the concept of a new type of Jacobson radical of a ternary Γ−semiring T which is defined by semiregularity. Several characterization theorems of this type of Jacobson radical are given.

This study extended an existing semi-analytical technique, the Homotopy Perturbation Method, to the Block Homotopy Modified Perturbation Method by solving two $ n \times n $ crisp triangular intuitionistic fuzzy (TIF) systems of linear equations. In the original system, the coefficient matrix is considered as real crisp, while the unknown variable...

This article proposes a revolutionary idea that seamlessly blends algebraic structures and machine learning techniques. The primary goal is to explore the pseudo-metric free semigroup's structure because it has been potential to be used in more intriguing ways in the future.

In this article, we constructed a derivative-free family of iterative techniques for extracting simultaneously all the distinct roots of a non-linear polynomial equation. Convergence analysis is discussed to show that the proposed family of iterative method has fifth order convergence. Nonlinear test models including fractional conversion, predator...

Tourism is a popular activity that allows individuals to escape their daily routines and explore new destinations for various reasons, including leisure, pleasure, or business. A recent study has proposed a unique mathematical concept called a q−Rung orthopair fuzzy hypersoft set (q−ROFHS) to enhance the formal representation of human thought proce...

Three parameters Birnbaum-Saunders, BS (3P), distribution is an important statistical model which is useable in the fields of both pure and applied sciences. Since its inception, Birnbaum- Saunders (BS) distribution has received a considerable attention in view of its wide applications in many areas of research in applied sciences, such as engineer...

In this paper, a stable and adaptive sliding mode control (SMC) method for induction motors is introduced. Determining the parameters of this system has been one of the existing challenges. To solve this challenge, a new self-tuning type-2 fuzzy neural network calculates and updates the control system parameters with a fast mechanism. According to...

The roots of non-linear equations are a major challenge in many scientific and professional fields. This problem has been approached in a number of ways, including use of the sequential Newton's method and the traditional Weierstrass simultaneous iterative scheme. To approximate all of the roots of a given nonlinear equation, sequential iterative a...

In this paper, we introduce the notion of intuitionistic fuzzy bipolar metric space and prove fixed point theorems. Our results are extension or generalisation of results proved in the literature. The derived results are substantiated with suitable example and an application.

The multiple-attribute decision-making (MADM) problem is resolved through the q-rung complex diophantine neutrosophic normal set (q-rung CDNNS). An important way to express uncertain information is using q-rung orthopair fuzzy sets (q-ROFs). Yager introduced q-ROFs as a generalization of intuitionistic fuzzy sets in which the sum of membership and...

Neutrosophic multicriteria is a method of decision-making that uses indeterminacy to combine several criteria or elements, frequently with incomplete or ambiguous information, to find a solution. The neutrosophic multicriteria analysis enables the assessment of qualitative and subjective aspects and can assist in resolving conflicting goals and pre...

In this article, we define the m-right consistent/m-left consistent and m-consistent hypergroupoids. We also define the m-intra-consistent hy-pergroupoid. Along these line, we define the Green's m-relations namely m-right relation, m-left relations, and m-relation. The other three relations, namely m-reflexive, m-symmetric and m-transitive, are als...

We introduce the concepts of multiple attribute decision-making (MADM) using square root neutrosophic normal interval-valued sets (SRNSNIVS). The square root neutrosophic (SRNS), interval-valued NS, and neutrosophic normal interval-valued (NSNIV) sets are extensions of SRNSNIVS. A historical analysis of several aggregating operations is presented i...

Engineering and applied mathematics disciplines that involve diferential equations include classical mechanics, thermodynamics, electrodynamics, and general relativity. Modelling a wide range of real-world situations sometimes comprises ambiguous, imprecise, or insufcient situational information, as well as multiindex, uncertainty, or restriction d...

Novel methods for multiple attribute decision-making problems are presented in this paper using Type-II Fermatean normal numbers. Type-II Fermatean fuzzy sets are developed by further generalizing Fermatean fuzzy sets and neutrosophic sets. The Type-II Fermatean fuzzy sets with basic aggregation operators are constructed. The concept of a Type-II F...

Any company must constantly innovate if they want to maintain its market share in the present cutthroat and unstable industry. Innovation has a big infuence on consumer behavior, yet it goes against the principles of sustainability. Te issue of sustainability has become crucial to their company's growth. In order to evaluate a business frm's sustai...

Te control and energy management problems of microgrids (MGs) are challenging due to the high level of uncertainties and disturbances such as changes in demands, mechanical powers, and solar energies. So, intelligent computing is needed to be developed for these systems. Tis paper uses an optimal and robust fuzzy controller for automatic voltage an...

Biomass conversion is largely impacted by the cost of transporting biomass materials. As a result, businesses need optimization solutions to optimize their transport operations, allocate resources effectively, and reduce their environmental impact. As part of the process of biomass conversion, this paper discusses the transport and biomass optimiza...

The aim of this article is to implement the Generalized Modified Adomian Decomposition Method to compute the semi-numerical solution of the linear system of intuitionistic fuzzy initial value problems. Here, we consider the initial values as generalized trapezoidal intuitionistic fuzzy numbers. The technique is applied to brine tanks problem and co...

This study introduces and analyzes the conormal product of intuitionistic anti-fuzzy graphs (IAFGs) and analyzes certain fundamental theorems and applications. Further, new notions on complete and regular IAFGs were introduced, and the conormal product operation was applied to these IAFGs. We showed that the conormal product of two IAFGs could be u...

In many problems, to analyze the process/metabolism behavior, a model of the system is identified. The main gap is the weakness of current methods vs. noisy environments. The primary objective of this study is to present a more robust method against uncertainties. This paper proposes a new deep learning scheme for modeling and identification applic...

The picture fuzzy set was introduced by Coung. It is a generalization of the intuitionistic fuzzy set, giving the notion of neutral membership degrees along with the positive and negative ones. Lie groups and Lie algebras have become indispensable for a lot of fields in mathematical and intellectual physics. In 1872, Lie began his work in the field...

Evaluating and ranking schools are noteworthy for parents of students and upstream institutions (in Iran, the Ministry of Education). In this process, quantitative criteria, including educational activities, human resources, space and equipment, and administrative-financial indicators, are commonly investigated. This process is carried out only by...

Numerous real-world applications can be solved using the broadly adopted notions of intuitionistic fuzzy sets, Pythagorean fuzzy sets, and q-rung orthopair fuzzy sets. These theories, however, have their own restrictions in terms of membership and non-membership levels. Because it utilizes benchmark or control parameters relating to membership and...

Using the Fermatean vague normal set (FVNS), problems requiring multiple attribute decision making (MADM) have been resolved in this article. This article focuses on the log Fermatean vague normal weighted averaging (log FVNWA), logarithmic Fermatean vague normal weighted geometric (log FVNWG), log generalized Fermatean vague normal weighted averag...

In this paper, a decision-making problem with a q-rung orthopair fuzzy hypersoft environment is developed, and two operators of ordered weighted average and induced ordered weighted average are developed. Several fundamental features are also derived. The induced ordered weighted average operator is essential in a q-ROFH environment as the induced...

Computation of correlation coefficient among attributes of ordinary database is important especially in the classification and analysis of data. Due to the hesitations in the process of data classification, the idea of intuitionistic fuzzy data (IFD) is appropriate for a reliable classification. To achieve a dependable correlation, the construct of...

Fractional calculus can be used to fully describe numerous real-world situations in a wide range of scientific disciplines, including natural science, social science, electrical, chemical, and mechanical engineering, economics, statistics, weather forecasting, and particularly biomedical engineering. Different types of derivatives can be useful whe...

This research paper introduces a novel fractional Caputo-type simultaneous method for finding all simple and multiple roots of polynomial equations. Without any additional polynomial and derivative evaluations using suitable correction, the order of convergence of the basic Aberth-Ehrlich simultaneous method has been increased from three to α + 3....

The government frequently partners with the private sector to provide infrastructure and public services. These cooperations, known as public-private partnerships (PPPs), have often failed. Sometimes, due to the problem's complexity, the public sector cannot choose the right partner for these projects, which is one of the main reasons for failures....

The financial systems have complicated dynamics and are perturbed by various uncertainties and disturbances. Chaos theory provides a practical approach to analyzing financial systems. The chaotic systems have unpredictable random characteristics that help to analyze the financial systems better. Recently, type-3 (T3) fuzzy logic systems (FLSs) have...

Green Supply Chain Management (GSCM) is essential to ensure environmental compliance and commercial growth in the current climate. Businesses constantly look for fresh concepts and techniques for ensuring environmental sustainability. To keep up with the new trends in environmental concerns related to company management and procedures, Green Suppli...

The PID controller is a popular controller that is widely used in various industrial applications. On the other hand, the control problems in microgrids (MGs) are so challenging, because of natural disturbances such as wind speed changes, load variation, and changes in other sources. This paper proposes an input-output scaling factor tuning of inte...

In real world uncertainty exist in almost every problem. Decision-makers are often unable to describe the situation accurately or predict the outcome of potential solutions due to uncertainty. To resolve these complicated situations, which include uncertainty, we use expert descriptive knowledge which can be expressed as fuzzy data. Pakistan, a cou...

Real-world data is often partial, uncertain, or incomplete. Decision making based on data as such can be addressed by fuzzy sets and related systems. This article studies the intuitionistic multi-fuzzy sub-near rings and Intuitionistic multi-fuzzy ideals of near rings. It presents some of the elementary operations and relations defined on these str...

Engineering and applied mathematics disciplines that involve differential equations in general, and initial value problems in particular, include classical mechanics, thermodynamics, electromagnetism, and the general theory of relativ-ity. A reliable, stable, efficient, and consistent numerical scheme is frequently required for modelling and simula...