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# Set Theory - Science topic

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Publications related to Set Theory (10,000)

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Big Data Analytics are said to help in transforming huge amounts of raw data towards valuable information that can be used, but there are formidable challenges in feature selection and classification due to the complexity and high dimensionality of the data. Traditional methods are usually too weak to handle the built-in uncertainty, imprecision, 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...

The complex correlation of multi-source information of power equipment and the efficient validation of data information in the context of the Internet of Things (IoT) of electric power need to be studied urgently. The study applies density clustering to simplify the connection between multidimensional data and proposes a method for detecting anomal...

The study sought to assess effect of stakeholders’ management on programme performance. The unit of analysis was the crop intensification programme in Ngoma district, Rwanda from 2018 to 2023. The study guided by Stakeholder theory, Goal setting theory and Theory of Change. The study adopted a descriptive survey and correlational research design. T...

The Electric Fish Optimization (EFO) algorithm is inspired by the predation behavior and communication of weak electric fish. It is a novel meta-heuristic algorithm that attracts researchers because it has few tunable parameters, high robustness, and strong global search capabilities. Nevertheless, when operating in complex environments, the EFO al...

This paper has two aims. First, we argue that Wittgenstein’s notion of petrification can be used to explain phenomena in advanced mathematics, sometimes better than more popular views on mathematics, such as formalism, even though petrification usually suffers from a diet of examples of a very basic nature (in particular a focus on addition of smal...

Soft set theory is a topic of interest for many researches working in a various of fields. In order to advance this field of study, we invest the soft pre-open sets to introduce a new generalization for soft-expandable, namely soft (pre)-expandable. We used the soft pre-open sets in various locations in the definition of soft-expandable spaces to g...

In this paper we address the question: How many pairwise non-isomorphic extremely amenable groups are there which are seprable metrizable or even Polish? We show that there are continuum many such groups. In fact we construct continuum many pairwise non-isomorphic extremely amenable groups as automorphism groups of countable structures. We also con...

Russell's Paradox has long stood as a fundamental challenge in set theory and logic, revealing contradictions in naive set theory when a set contains itself as a member. This paper examines a novel approach to the paradox, hypothesizing that artificial intelligence (AI), with its capacity for logical analysis, pattern recognition, and formal system...

Context. Modern industrial enterprises face challenges that require introduction of latest technologies to improve efficiency and competitiveness. In metallurgy, one of key stages is continuous casting, where quality of products and economic performance of enterprise depend on accuracy and efficiency of process control. Products made using continuo...

We suggest that man be considered as a model in the sense of what is deployed in first-order logic. In such a framework, applying Gödel’s incompleteness theorem brings the possibility of contradictory thoughts in humankind, while each individual would remain strictly non-contradictory.

El objetivo de este artículo es presentar y conectar el panorama intelectual inmediato, especialmente en el ámbito matemático, que Husserl se apropió durante sus primeros años de formación, centrándonos en las investigaciones de B. Riemann, R. Dedekind y G. Cantor. Se busca, en particular, evidenciar cómo Husserl reinterpreta filosóficamente los co...

This paper deepens the understanding of quantifying mathematical infinity. Open and closed sets turn out to be not tenable. The correct usage of bijections makes results obsolete based on the concept of cardinality. Elements of infinite sets are counted in a novel way. The Fueter-Pólya conjecture must be corrected. The fundamental theorem of set th...

Der Beitrag vertieft das Verständnis die mathematische Unendlichkeit zu quantifizieren. Offene und abgeschlossene Mengen erweisen sich als nicht haltbar. Die korrekte Verwendung der Bijektion macht einige Ergebnisse obsolet, die auf dem Mächtigkeitsbegriff beruhen. Elemente unendlicher Mengen werden neu gezählt. Die Fueter-Pólya-Vermutung ist zu ko...

The numerous extensions of fuzzy groups (FG) and fuzzy subgroups are complicated. Several results depending on different approaches of FG theory were introduced. This study introduces a novel extension, named bipolar-valued fuzzy groups (BVF-groups), which are based on bipolar-valued fuzzy space (BVF-space) and are created using Dib's methodology....

In this letter we discuss computing in terms of Gaisi Takeuti's quantum set theory using an explicit example of a rigid body of cuboid form. The universe V(L) of Takeuti will be determined. A set of real numbers in this Universe are also explicitly described including a set of binary numbers. Thus we arrive at the foundations of von Neumann' theory...

This technical note shows how we have combined prescriptive type checking and constraint solving to increase automation during software verification. We do so by defining a type system and implementing a typechecker for $\{log\}$ (read ‘setlog’), a Constraint Logic Programming language and satisfiability solver based on set theory. The constraint s...

How to employ Mathematical Set Theory to collect, quantify, qualify and analysis life stages in African Literature.

This is a textbook for beginning mathematics students. Knowledge of school mathematics is not presumed: it starts with the basics of counting. The underlying idea is that the best way to learn mathematics is by doing mathematics. For beginning students it is sometimes a problem to assume when looking for proof. For the exercises in this textbook, t...

The concept of emergence, or synergy in its simplest form, is widely used but lacks a rigorous definition. Our work connects information and set theory to uncover the mathematical nature of synergy as the failure of distributivity. For the trivial case of discrete random variables, we explore whether and how it is possible to get more information o...

It is established that the fundamental metric constant "Speed of light" and all associated with it metric units of the Standard Physical Model can be initially described purely qualitatively, designated symbolically and processed analytically-in logical judgments expressed by definitions, terms, letters, figures and other signs of natural and artif...

Let LX\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {L}_\mathcal {X}$$\end{document} be the language of a first-order, decidable, quantifier-free theory X\do...

This paper investigates Everpresent Λ, a stochastic dark energy model motivated by causal set theory and unimodular gravity, and confronts it with two key observational data sets, Supernova Ia (SN Ia) and Cosmic Microwave Background (CMB) data. A key feature of this model is that Λ fluctuates over time and on average the magnitude of its fluctuatio...

The health sector faces uncertainty and complex decision-making scenarios, making traditional analytical tools insufficient. The fuzzy soft set theory has emerged as a powerful framework for modeling and reasoning with uncertain information, with promising applications in the health domain. This project explores the application of fuzzy soft sets i...

The aim of this paper is to introduce the notion of neutrosophic singletons and the induced neu-trosophic topology. We also study some of its basic properties. Keywords: Neutrosophic topological space, neutrosophic singleton, induced neutrosophic topology.-1. Notations and Terminology In 1965, L. A. Zadeh [16] introduced the concept of fuzzy sets,...

We continue the study of the Erd\H{o}s-Dushnik-Miller theorem (A graph with an uncountable set of vertices has either an infinite independent set or an uncountable clique) in set theory without the axiom of choice. We show that there are three inequivalent versions of this theorem and we give some results about the positions of these versions in th...

The aim of this paper is to introduce the notion of neutrosophic singletons and the induced neu-trosophic topology. We also study some of its basic properties. Keywords: Neutrosophic topological space, neutrosophic singleton, induced neutrosophic topology.-1. Notations and Terminology In 1965, L. A. Zadeh [16] introduced the concept of fuzzy sets,...

To optimize infection control and bolster productivity within the poultry industry, it is imperative to accurately classify Chicken Eimeria species. There are several methods for determining Eimeria disease in chickens. Traditional methods involve watching for clinical symptoms, and macroscopic lesions, and studying the parasite’s biology and oocys...

The Fourth Industrial Revolution, also known as Industry 4.0, which is the intensified digitalization and automation in industry, embraces cyber–physical systems, the Internet of Things (IoT), and artificial intelligence, among others. This study utilizes Fuzzy Integration–Rough Set Theory (FI-RST) analysis to quantify the impacts of the imperative...

This paper investigates two kinds of philosophical justifications—intrinsic and extrinsic justifications—for the Axiom of Choice. A standard intrinsic justification for the Axiom of Choice is based on the iterative conception of set. However, this form of justification implicitly adopts the maximality principle of sets, which is incoherent. The ext...

The following two consequences of the axiom of constructibility V = L are established for every n ≥ 3: 1. Every linear $\bf\Sigma^1_n$ set is the projection of a uniform planar $\bf\Pi^1_{n-1}$ set. 2. There is a planar $\bf\Pi^1_{n-1}$ set with countable cross-sections, not covered by a union of countably many uniform $\bf\Sigma^1_n$ sets. If n =...

This study evaluated the broadcast media campaigns on voters' enlightenment messages and sensitization of grassroots in Rivers State. The agenda setting theory was anchored in this study. This study adopted a descriptive survey design to investigate the effectiveness of broadcast media campaigns in promoting voter enlightenment and sensitization am...

The development of artificial intelligence (AI) hinges on efficient decision-making and data processing. Set theory, particularly power sets, offers a foundation for modelling possibilities and exploring combinations of information in AI systems. This paper discusses the relationship between sets of power and AI applications, with a focus on mathem...

This study was conducted to assess how newspapers covered political parties, by comparing Daily Trust and Vanguard newspapers coverage of political parties in the 2023 presidential election in Nigeria, to find out the political party with the highest attention and the most common theme of coverage. The study adopted Agenda Setting Theory as the the...

The performance of garment enterprise projects is a critical indicator of the economic progress and sustainability of any country. With respect to small garment enterprises in Eldoret town, data has shown suboptimal performance in the industry, resulting in some SMEs ceasing their operations. The aim of this paper is to assess the effect of schedul...

Due to the complex hydrogeological conditions and water hazards in coal mines, there are multiple indexes, complexities, incompatibilities, and uncertainty issues in the risk evaluation process of coal-mine water hazards. To accurately evaluate the risk of coal-mine water hazards, a comprehensive evaluation method based on extension theory, game th...

A straightforward way to avoid the problem of the infinite zero-point energy principally is to negate the axiom of infinity of Zermelo-Fraenkel set theory. However, in so doing the real numbers and, as a corollary, the concept of infinitesimals would be given up making mathematical analysis, as it is known today, impossible. That said, consider a s...

We call a family of $s$ sets $\{F_1, \ldots, F_s\}$ a \textit{sunflower with $s$ petals} if, for any distinct $i, j \in [s]$, one has $F_i \cap F_j = \cap_{u = 1}^s F_u$. The set $C = \cap_{u = 1}^s F_u$ is called the {\it core} of the sunflower. It is a classical result of Erd\H os and Rado that there is a function $\phi(s,k)$ such that any family...

The low-pressure rotor system of an aircraft engine includes a fan rotor and a low-pressure turbine rotor, which are connected and fixed by a gear coupling. The existence of machining errors and assembly errors can cause rotor assembly misalignment, which is one of the important factors causing aircraft engine failures. Based on the finite element...

Mona Mohamed, Alaa Elmor and Florentin Smarandache, Ahmed A. Metwaly, An Efficient SuperHyperSoft Framework for Evaluating LLMs-based Secure Blockchain Platforms, Neutrosophic Sets and Systems, Vol. 72, 2024, pp. 1-21, DOI: 10.5281/zenodo.13380179
Yaser Ahmad Alhasan, Suliman Sheen, Qusay Ahassan, and Raja Abdullah Abdulfatah, The 2-refined neutro...

I take a reflection of the mathematical method of integration applied in physics and astrophysics in the research. I examine the theoretical premise of integration entailed in its applications in the fields, and with qualitative comparative analysis, regard the inconsistency of the mathematical method in physical and astrophysical theories. I seek...

Throughout the history of mathematics, prime numbers have always been a prominent subject. A prime number (or simply 'prime') is defined as a number which cannot be decomposed into the product of two natural numbers greater than one.Twin primes are pairs of primes in the form (p, p+2). This paper is divided into two main sections. The first part fo...

The concept of the empty set and its relation to the construction of natural numbers has profound implications in mathematics, physics, and philosophy. In this paper, we explore von Neumann's construction of natural numbers, particularly the fundamental relation 1 = {0}, and delve into its philosophical and physical implications. We draw parallels...

There are two general conceptions on the relationship between probability and logic. In the first, these systems are viewed as complementary—having offsetting strengths and weaknesses—and there exists a fusion of the two that creates a reasoning system that improves upon each. In the second, probability is viewed as an instance of logic, given some...

Language is one of humanity’s most powerful tools for communication, yet its underlying structure remains an enigma. Recent advances in artificial intelligence, particularly in large language models, have begun to hint at a deeper, possibly mathematical basis for how humans generate and process language. This paper explores the hidden mathematics o...

This article is intended for Mathematics students as well as anyone with interests in Foundations of Mathematics, Analytic Philosophy, or Theoretical Computer Science. Countable and Uncountable Infinities, Cantor's Diagonal Argument, Cantor's Paradox, Russell’s Paradox, and Barber Paradox. Limited and unlimited abstraction principles, Zermelo-Fraen...

I'm Carey Carlson, a one-time student of Grover Maxwell in philosophy of science at the University of Minnesota, 1973-76. Thirty years later I was using directed graphs to explain the event ontology when I noticed that directed graphs depicting "the arrows of time" form frequency ratios. No one had ever noticed it. It's a rudimentary discovery at t...

This article aims to introduce my work on constructing neutrosophic set theory. Neutrosophy is a new branch of mathematical systems proposed by Smarandache in 1995 as an extension of an intuitionistic fuzzy set according to three-degree membership functions. The new perspective of neutrosophic sets consists of two paths, the first path depends on t...

The concept of fuzzy soft sets is considered more versatile and widely applicable than traditional soft set theory, as the latter struggles to handle the fuzziness of problem parameters effectively. In this study, we introduce and describe the fuzzy soft quasinormal operator in a more concise manner. This operator is defined on a fuzzy soft Hilbert...

The newspaper is a traditional channel of information interchange between the public and the government, as well as a free platform for the general public to commend and criticize the actions and policies of the government. This article aims to study the frequency of lexical choices and positive and negative words in the news coverage of political...

The 2018 Mexican presidential election marked the initiation of a new political communication dynamic in which traditional electoral communication strategies of political parties were challenged by an independent candidate. This study evaluated this innovative electoral setting by examining Telemundo’s electoral coverage of party-affiliated candida...

Context. The average matter density within the turnaround scale, which demarcates where galaxies shift from clustering around a structure to joining the expansion of the Universe, is an important cosmological probe. However, a measurement of the mass enclosed by the turnaround radius is difficult. Analyses of the turnaround scale in simulated galax...

Artificial intelligence (AI) has revolutionized various fields, but its effectiveness can hampered by limitations in handling uncertainty inherent in real-world data. Traditional statistical methods often rely on binary logic (true/false) and may not adequately capture the nuances of uncertainty present in real-world data. This paper explores neutr...

Recycled art offers a unique perspective on the intersection of creativity, sustainability, and philosophical inquiry. By examining the processes and concepts involved in creating art from recycled materials, we uncover the multifaceted nature of these artworks and their impact on contemporary art. This essay delves into the philosophical theories...

Awodey, later with Newstead, showed how polynomial pseudomonads $(u,1,\Sigma)$ with extra structure (termed "natural models" by Awodey) hold within them the categorical semantics for dependent type theory. Their work presented these ideas clearly but ultimately led them outside of the category of polynomial functors in order to explain all of the s...

This paper establishes an analog of the Erd\H{o}s-Ko-Rado theorem to polynomial rings over finite fields, affirmatively answering a conjecture of C. Tompkins. A $k$-uniform family of subsets of a set of finite size $n$ is $l$-intersecting if any two subsets in the family intersect in at least $l$ elements. The study of such intersecting families is...

We confirmed the following special case of Füredi’s conjecture: Let $$t$$ t be a non-negative integer. Let $$ \mathcal{ P}=\{(A_i,B_i)\}_{1\leq i\leq m}$$ P = { ( A i , B i ) } 1 ≤ i ≤ m be a set-pair family satisfying $$|A_i \cap B_i|\leq t$$ | A i ∩ B i | ≤ t for $$1\leq i \leq m$$ 1 ≤ i ≤ m and $$|A_i\cap B_j|>t$$ | A i ∩ B j | > t for all $$1\l...

In this analysis we present the method that B Russel vanquishes both the syntactical and semantical antinomies in the logical system of Principia Mathematica, through his ramified logical orders, and disallowed predicative predicates (axiom of reducibility). We apply it to the Richard antinomy diagonal argument (in the validity of propositions) whi...

La enseñanza de las matemáticas en la educación Superior es un tema de vital importancia para la formación académica y profesional de los estudiantes de la Facultad de Ciencias de la Ingeniería y Aplicadas (FCIYA) de la Universidad Técnica de Cotopaxi (UTC). Los avances científicos, tecnológicos y económicos en el Ecuador hacen que este aspecto sea...

This article delves into the concept of Self Generative Systems (SGS), inspired by John von Neumann's theory of self-reproducing automata. The article presents a modern interpretation of von Neumann’s model, incorporating a metadata management system called Metadatum SGS, which utilizes Julia and Neo4J Graph DB.
The core of von Neumann’s concept i...

Goal setting theory explains that a person's behavior is determined by values and goals. Goals set influence actual behavior, which is governed by ideas and intentions, thereby influencing actions and performance. Effective control of work-family conflict and work stress improves performance. Human Resource Management involves planning, organizing,...

Soft set theory gained popularity as a cutting-edge approach to handling uncertainty-related problems and modeling uncertainty after being introduced by Molodtsov in 1999. Numerous theoretical and practical applications have been conducting by make using of the theory. This paper presents a novel soft set operation, called the "soft binary piecewis...

The concept of multiplication without loss is a fascinating intersection of both abstract mathematics and religious tradition. This paper explores this intersection through the lens of the Banach-Tarski paradox and Holy Water in Christian practice. The Banach-Tarski paradox, a theorem in set-theoretic geometry, demonstrates that a solid ball can be...

The Molodtsov-conceived concept of soft sets provides a robust mathematical approach for managing uncertainty. This study explores the positive outcomes resulting from the application of soft set theory techniques, paving the way for innovative research methodologies in soft multiplicative ideal theory. The paper delves into the operations that lea...

Mathematics is often seen as the pursuit of order, logic, and certainty, yet it is also a realm where the impossible not only exists but thrives. The Geometry of Absurdity: Mathematical Explorations of the Impossible delves into the strange and counterintuitive world of mathematical absurdities—constructs, theorems, and shapes that defy conventiona...

Resumo Este artigo foca a prática educativa do professor que, em meio às vicissitudes que caracterizam o movimento da sala de aula, tem por desafio encontrar seus alunos no âmbito da lógica natural da linguagem diária e conduzi-los ao âmbito da lógica matemática subjacente à teoria dos conjuntos que fundamenta a matemática do século 20. Consideramo...

We investigate first Baire functionals on the dual ball of a separable Banach space \(X\) which are pointwise limit of a sequence of \(X\) whose closed span does not contain any copy of \(\ell_1\) (or has separable dual). We propose an example of a \(C(K)\) space where not all such first Baire functionals exhibit this behavior. As an application, w...

The newspaper, which happens to be a part of the media, remains a tool of political information and campaigns by politicians, political parties and the voters during elections. This study focuses on Edo State voters’ perception of newspaper coverage of the 2020 Edo State governorship election campaigns. As a major objective, this research study was...

The Electric Fish Optimization (EFO) Algorithm is inspired by the predation behavior and communication of weak electric fish. It is a novel meta-heuristic algorithm that attracts researchers because it has few tunable parameters,high robustness,and strong global search capabilities. Nevertheless, when operating in complex environments, the EFO algo...

A biometric system is essential in improving security and authentication processes across a variety of fields. Due to multiple criteria and alternatives, selecting the most suitable biometric system is a complex decision. We employ a hybrid approach in this study, combining the Technique for Order of Preference by Similarity to Ideal Solution (TOPS...

This study explores the impact of social media on promoting socio-cultural issues in Nigeria. Using a qualitative research approach, the study analyzes the role of social media in amplifying cultural trends, preserving and promoting cultural heritage, facilitating global engagement with Nigerian cultural events, and promoting positive socio-cultura...

As artificial intelligence (AI) systems become increasingly complex, the need for rigorous mathematical frameworks to improve explainability, reliability, and verification has become more pressing. Traditional approaches, such as set theory, struggle to fully capture the intricate spaces and transformations inherent in modern neural networks. Homot...

I describe a simple historical thought experiment showing how we might have come to view the continuum hypothesis as a fundamental axiom, one necessary for mathematics, indispensable even for calculus.

By classical results of Dedekind and Zermelo, second order logic imposes categoricity features on Peano Arithmetic and Zermelo-Fraenkel set theory. However, we have known since Skolem’s anti-categoricity theorems that the first order formulations of Peano Arithmetic and Zermelo- Fraenkel set theory (i.e., PA and ZF) are not categorical. Here we inv...

The notion of definiteness has played a fundamental role in the early developments of set theory. We consider its role in work of Cantor, Zermelo and Weyl. We distinguish two very different forms of definiteness. First, a condition can be definite in the sense that, given any object, either the condition applies to that object or it does not. We ca...

According to height potentialism, the height of the universe of sets is “potential” or “indefinitely extensible,” and this is something that a (formal) theory of sets should capture. Height actualism is the rejection of height potentialism: the height of the universe of sets isn’t potential or indefinitely extensible, and our standard non-modal the...

In this research article, firstly a new concept of second order bipolar fuzzy matrix (SOBPFM) is introduced and their basic properties and results are proved with examples. Secondly, the concept of symmetrical difference operator (SDO) over SOBPFM is introduced and various properties of SDO are discussed and verified over SOBPFM. Finally, an applic...

Objective : The objective of Intuitionistic fuzzy binary soft sets is to extend the existing frameworks of binary soft sets and Intuitionistic fuzzy sets to accommodate both uncertainty and ambiguity in decision-making processes. This extension aims to provide a more flexible, representation of real-world data and phenomena, allowing for analysis a...

This study seeks to investigate infodemic in the era of Coranavirus among Ikorodu residents in Lagos Nigeria. Studies have been conducted to unravel the effect of Coronavirus, its causes, and media coverage but there appears to be a paucity of literature with regards to people's perception of infodemic in in the wake of COVID 19 pandemic. It is on...

This study delves into the media representation and public perception towardsofficial visits by Nepali Prime Minister to India, analyzing Indian media outlets' framing of power dynamics, strategic messaging, perception management, economic interests, and regional dynamics in Nepal-India relations. As part of the study methodology, the researcher de...

News production goes beyond the routine of accessing, selecting, processing and interpreting events considered as newsworthy. It involves consequences of journalistic practices that are capable of influencing the professional culture, knowledge and expectations of the given medium. Though news production processes may be influenced by the editorial...

This study investigated the profound impact of automation and remote work on organizational structures and talent management practices. The findings revealed significant changes across various aspects of organizational operations, highlighting the need for adaptation and strategic adjustments. Automation significantly impacted organizational struct...

This paper presents a comprehensive framework for extending holographic principles beyond AdS/CFT to general spacetimes. By incorporating quantum information measures such as entanglement entropy and complexity into modified Einstein field equations, we develop a Universal Holographic Principle applicable to diverse geometries, including flat space...

The field of neutrosophic set theory and its applications has been rapidly expanding, particularly since the introduction of the journal "Neutrosophic Sets and Systems." New theories, techniques, and algorithms are being developed at a very high rate. One of the most notable trends in neutrosophic theory is its hybridization with other set theories...

The inspiration for writing about the Košice mathematics school came from conversations with the professor. Lev Bukovský and prof. Stanislav Jendroľ during the preparation and creation of publications about them, in the Personalities of Slovak Mathematics Edition framework. In this publication we present other important events, the Conference of Ko...

The increasing impact of climate change necessitates innovative approaches in modeling and prediction to mitigate its adverse effects. This paper introduces a novel methodology integrating Neutrosophic Soft Functions (NSFs) into climate change prediction frameworks. NSFs, a hybrid of Neutrosophic Set Theory and Soft Set Theory, provide a flexible f...

This study introduces an advanced approach for ranking international football players, addressing the inherent uncertainties in performance evaluations. By integrating dual possibility theory and Pythagorean fuzzy sets, the model accommodates varying degrees of ambiguity and imprecision in player attributes. Additionally, the use of hypersoft set t...

This study ascertained the public relations and image building as pathways for Independent National Electoral Commission inclusiveness and image recovery in Nigeria. The theoretical framework of the study was drawn from the image restoration theory and agenda setting theory. This study adopted the qualitative research approach and the in-depth (int...

This paper presents a comprehensive framework for extending holographic principles beyond AdS/CFT to general spacetimes. By incorporating quantum information measures such as entanglement entropy and complexity into modified Einstein field equations, we develop a Universal Holographic Principle applicable to diverse geometries, including flat space...

We study the fundamentals of soft set theory which includes soft set operations, soft set relations and functions with applications in purchase and decision making. Selection from different varieties of phones is considered in this paper.

The notion of definiteness has played a fundamental role in the early developments of set theory. We consider its role in work of Cantor, Zermelo and Weyl. We distinguish two very different forms of definiteness. First, a condition can be definite in the sense that, given any object, either the condition applies to that object or it does not. We ca...

We study Medvedev reducibility in the context of set theory -- specifically, forcing and large cardinal hypotheses. Answering a question of Hamkins and Li \cite{HaLi}, we show that the Medvedev degrees of countable ordinals are far from linearly ordered in multiple ways, our main result here being that there is a club of ordinals which is an antich...

Despite the recognition of the important role that human resource practices play in enhancing employee performance, there is a lack of comprehensive research on the specific impact of these practices in the banking industry. The study aimed to investigate the relationship between strategic human resource practices and employee’s performance in the...

Soft set theory was proposed by Molodtsov in 1999 to model some problems involving uncertainty. It has a wide range of theoretical and practical applications. Soft set operations constitute the basic building blocks of soft set theory. Many kinds of soft set operations have been described and applied in various ways since the inception of the theor...

Keywords Soft sets Soft set operations Conditional complements Star operation Soft set theory deals with uncertainty and it has been applied to many fields both as a theoretical and application aspect. Since its inception, different kinds of soft set operations have been defined and used in various types. This paper is a theoretical study of soft s...

The deneutrosophication process is a process transforming from neutrosophic values to crisp output values. It is the final step for the operations within a neutrosophic set and system. Neutrosophic set theories are a generalization of intuitionistic fuzzy and fuzzy set theories, focusing on truth, indeterminacy, and falsity memberships independentl...

This study investigated the profound impact of automation and remote work on organizational structures and talent management practices. The findings revealed significant changes across various aspects of organizational operations, highlighting the need for adaptation and strategic adjustments. Automation significantly impacted organizational struct...

The aim to provide a causal theory of spacetime is not new. The overall program, however, was largely deemed unsuccessful, chiefly due to criticism voiced by Smart (Monist 53:385–395, 1969), Nerlich (Br J Philos Sci 33(4):361–388, 1982) and Earman (Synthese 24:74–86, 1972). Recently, Baron and Le Bihan (Noûs 58:202–224, 2023) have argued that devel...

Set-theoretic potentialism is one of the most lively trends in the philosophy of mathematics. Modal accounts of sets have been developed in two different ways. The first, initiated by Charles Parsons, focuses on sets as objects. The second, dating back to Hilary Putnam and Geoffrey Hellman, investigates set-theoretic structures. The paper identifie...