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Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache Jan 2024

Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).


‘People With Disabilities,’ ‘Disabled People,’ Or ‘The Disabled’: A Corpus Analysis Of Disability Labeling Constructions, Eliza Forrest Jan 2024

‘People With Disabilities,’ ‘Disabled People,’ Or ‘The Disabled’: A Corpus Analysis Of Disability Labeling Constructions, Eliza Forrest

Linguistics ETDs

The way language shapes perceptions about disability is a complex and long-debated topic within popular disability discourse. With the rise of “person-first” language in recent decades, this debate has shifted toward a grammatical, rather than lexical one, contrasting forms such as people with disabilities, disabled people, and the disabled. While these different construction types—prepositional, attributive, and nominalized, respectively—refer to the same entity, the purported connotations of each have been highly contested. Despite this, research on the topic has been limited and mixed, particularly for studies focusing on actual usage. By analyzing these constructions in the Corpus of …


Incorporating Global And Latin American Sounds In The Classroom, Latin American And Iberian Institute Jan 2024

Incorporating Global And Latin American Sounds In The Classroom, Latin American And Iberian Institute

K-12 Lesson Plans

No abstract provided.


A Spanish Language Educator’S Guide To Radio Ambulante, Episode 27: Boom/Colapso, Latin American And Iberian Institute Jan 2024

A Spanish Language Educator’S Guide To Radio Ambulante, Episode 27: Boom/Colapso, Latin American And Iberian Institute

K-12 Lesson Plans

No abstract provided.


Ncmpy: A Modelling Software For Neutrosophic Cognitive Maps Based On Python Package, Ilanthenral Kandasamy, Divakar Arumugam, Aryan Rathore, Ateeth Arun, Manan Jain, Vasantha Kandasamy, Florentin Smarandache Jan 2024

Ncmpy: A Modelling Software For Neutrosophic Cognitive Maps Based On Python Package, Ilanthenral Kandasamy, Divakar Arumugam, Aryan Rathore, Ateeth Arun, Manan Jain, Vasantha Kandasamy, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Cognitive Maps are a vital tool that can be used for knowledge representation and reasoning. Fuzzy Cognitive Maps (FCMs) are popular soft computing techniques used to model large and complex systems, and they can aid in explainable AI. FCMs, however, cannot model the indeterminacy that arises in a system due to various uncertainties. Neutrosophic Cognitive Maps (NCMs), upgraded FCMs that could model indeterminacy, was introduced to address this issue. NCMs are a generalization of FCMs, a field of cognitive science firmly based on neural networks. NCMs have been used to solve a wide range of problems. NCMs were introduced in …


A Decision-Making Approach Incorporating Todim Method And Sine Entropy In Q-Rung Picture Fuzzy Set Setting, Büşra Aydoğan, Murat Olgun, Florentin Smarandache, Mehmet Unver Jan 2024

A Decision-Making Approach Incorporating Todim Method And Sine Entropy In Q-Rung Picture Fuzzy Set Setting, Büşra Aydoğan, Murat Olgun, Florentin Smarandache, Mehmet Unver

Branch Mathematics and Statistics Faculty and Staff Publications

In this study, we propose a new approach based on fuzzy TODIM (Portuguese acronym for interactive and multicriteria decision-making) for decision-making problems in uncertain environments. Our method incorporates group utility and individual regret, which are often ignored in traditional multicriteria decision-making (MCDM) methods. To enhance the analysis and application of fuzzy sets in decision-making processes, we introduce novel entropy and distance measures for q-rung picture fuzzy sets. These measures include an entropy measure based on the sine function and a distance measure derived from the Jensen-Shannon divergence. In our methodology, incorporating the sine function into the entropy measure stands out …


Nuevos Tipos De Conjuntos Suaves: Conjunto Hiper Suave, Conjunto Suave Indeterminado, Conjunto Hiper Suave Indeterminado Y Conjunto Suave De Árbol, Florentin Smarandache Jan 2024

Nuevos Tipos De Conjuntos Suaves: Conjunto Hiper Suave, Conjunto Suave Indeterminado, Conjunto Hiper Suave Indeterminado Y Conjunto Suave De Árbol, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This is an updated article, where we present the definitions and practical applications of the Soft Set and its extensions to the Hyper Soft Set, Indeterminate Soft Set, Indeterminate Hyper Soft Set, and Tree Soft Set.


Análisis Neutrosófico De Las Actitudes Hacia La Máquina De Experiencia De Nozick, Maikel Yelandi Leyva Vázquez, Jesús Estupiñán Ricardo, Noel Batista Hernández, Ricardo Sánchez Casanova, Florentin Smarandache Jan 2024

Análisis Neutrosófico De Las Actitudes Hacia La Máquina De Experiencia De Nozick, Maikel Yelandi Leyva Vázquez, Jesús Estupiñán Ricardo, Noel Batista Hernández, Ricardo Sánchez Casanova, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This paper presents a neutrosophic study on attitudes towards virtual technology, with a special focus on the "Experience Machine". Employing a methodology that incorporates the theory of indecision and neutrality into response analysis, the perceptions of 50 university students were investigated. Opinions and feelings were transformed into neutrosophic numbers to calculate contradiction and conduct a detailed analysis. The results indicate a predisposition towards agreement with virtual technology, although notable indecision and a significant presence of neutral attitudes were detected. The correlations and clustering methods applied reveal a complex dynamic of attitudes, challenging binary interpretations and highlighting the need for more …


Two-Dimensional Steady Squeezing Flow Over A Vertical Porous Channel With Free Convective Heat/Mass Transfer And Invariable Suction, Zeeshan, Waris Khan, Taoufik Saidani, Florentin Smarandache, Muhammad Shahid Khan, Hamdi Ayed, M. Modather M. Abdou Jan 2024

Two-Dimensional Steady Squeezing Flow Over A Vertical Porous Channel With Free Convective Heat/Mass Transfer And Invariable Suction, Zeeshan, Waris Khan, Taoufik Saidani, Florentin Smarandache, Muhammad Shahid Khan, Hamdi Ayed, M. Modather M. Abdou

Branch Mathematics and Statistics Faculty and Staff Publications

This research reports on the combined effects of heat and mass transfer (HMT) under the influences of the Soret and Dufour in natural convection steady 2D magnetohydrodynamic flow through the boundary layer in a porous vertical tube or duct. The current study is motivated by the significant applications of HMT in engineering processes such as casting and welding. The goal of this framework is to explore the assisting and opposing movements with HMT above a vertical porous channel under the influence of invariant suction and fluid dissipation which have not been reported in the earlier studies. The governing flow equations …


Progress In Physics: Twentieth Year Of Publication, Florentin Smarandache, Andreas Ries, Pierre Millette, Ebenezer Chifu Jan 2024

Progress In Physics: Twentieth Year Of Publication, Florentin Smarandache, Andreas Ries, Pierre Millette, Ebenezer Chifu

Branch Mathematics and Statistics Faculty and Staff Publications

The journal Progress in Physics was created in January 2005 on behalf of many influential scientists with whom we were in correspondence. The main reason was that publications in other journals were allowed only if the submitter was affiliated with a scientific institution or research organization. Given this situation, many working scientists finding themselves partially employed or unemployed, such as in between research grants, find themselves unable to publish their research results. Even e-print archives such as Cornell’s arXiv required scientific affiliation and still follow this policy.


Neutrosophic Discrete Geometric Distribution, Rehan Ahmad Khan Sherwani, Sadia Iqbal, Shumaila Abbas, Muhammad Saleem, Muhammad Aslan, Florentin Smarandache Jan 2024

Neutrosophic Discrete Geometric Distribution, Rehan Ahmad Khan Sherwani, Sadia Iqbal, Shumaila Abbas, Muhammad Saleem, Muhammad Aslan, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Uncertainty, vagueness, and ambiguity surround us in many real-life problems and, therefore, always remain under consideration for researchers to quantify them. This study proposed neutrosophic discrete probability distribution as a generalization of classical or existing probability distributions, named neutrosophic geometric distribution. Case studies presented in the paper will help understand the concept and application of the proposed distribution. Several properties are derived, like the proposed distribution’s moment, characteristic, and probability-generating functions. Furthermore, the newly proposed distribution derives properties from the reliability analysis, such as survival function, hazard rate function, reversed hazard rate function, cumulative hazard rate function, mills ratio, and …


Many Extensions Of Coulomb’S Law: A Scoping Review, Florentin Smarandache Jan 2024

Many Extensions Of Coulomb’S Law: A Scoping Review, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, Coulomb’s Law is extended from two stationary charged particles, on linear trajectory, to: many charged particles, or quantum level particles, or objects on arbitrary motions (with velocity, acceleration, time delay), on non-linear trajectories, at even superluminal and instantaneous speeds.


Jonckheere Trend Test Under Indeterminacy With Applications, Abdulrahman Alaita, Muhammad Aslam, Florentin Smarandache Jan 2024

Jonckheere Trend Test Under Indeterminacy With Applications, Abdulrahman Alaita, Muhammad Aslam, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The classical Jonckheere trend test is a non-parametric statistical tool usually employed to compare the medians of multiple independent groups, especially when there is a natural ordering or trend among the groups. This paper aims to develop a more comprehensive and adaptable version of the Jonckheere trend test, called the neutrosophic Jonckheere trend test (NJT), which can be used to analyze di_erent types of uncertainty data. This paper discusses neutrosophic hypotheses and decision rules pertaining to the NJT test. Furthermore, the practical uses of the NJT test have been discussed in the context of real-world applications with COVID-19 data. Lastly, …


Computation Of Separate Ratio And Regression Estimator Under Neutrosophic Stratified Sampling: An Application To Climate Data, Abhishek Singh, Hemant Kulkarni, Florentin Smarandache, Gajendra K. Vishwakarma Jan 2024

Computation Of Separate Ratio And Regression Estimator Under Neutrosophic Stratified Sampling: An Application To Climate Data, Abhishek Singh, Hemant Kulkarni, Florentin Smarandache, Gajendra K. Vishwakarma

Branch Mathematics and Statistics Faculty and Staff Publications

In this article, we introduce a novel approach by presenting separate ratio and regression estimators in the context of neutrosophic stratified sampling for the very first time, incorporating auxiliary variables. We have conducted a thorough analysis to estimate these newly proposed estimators' bias and mean square error (MSE) up to the first-order approximation. Theoretically using efficiency comparison criteria, our findings demonstrate the superior performance of these estimators compared to traditional unbiased estimators. Also, numerically based on real-life and artificial data, we have shown the supremacy of the neutrosophic stratified sampling over neutrosophic simple random sampling along with the supremacy of …


A Neutrosophic Approach To Study Agnotology: A Case Study On Climate Change Beliefs, Florentin Smarandache, Maikel Leyva Vázquez Jan 2024

A Neutrosophic Approach To Study Agnotology: A Case Study On Climate Change Beliefs, Florentin Smarandache, Maikel Leyva Vázquez

Branch Mathematics and Statistics Faculty and Staff Publications

Misinformation and biased information significantly impact public perception and political decisions, especially on critical issues such as climate change and environmental conservation. This study aims to understand how indeterminacy and contradiction influence public perception and policy formulation by applying neutrosophic theory to model the complexity and multi-dimensionality of ignorance. Using neutrosophic Likert scales, we capture a nuanced spectrum of opinions on the scientific certainty of human impact on climate change. The results are analyzed through a k-means clustering algorithm to identify patterns and segment participants into groups based on their levels of truth, indeterminacy, and falsehood. This approach reveals deeper …


Eevmc: An Energy Efficient Virtual Machine Consolidation Approach For Cloud Data Centers, Attique Ur Rehman, Songfeng Lu, Mubashir Ali, Florentin Smarandache, Sultan S. Alshamrani, Abdullah Alshehri, Farrukh Arslan Jan 2024

Eevmc: An Energy Efficient Virtual Machine Consolidation Approach For Cloud Data Centers, Attique Ur Rehman, Songfeng Lu, Mubashir Ali, Florentin Smarandache, Sultan S. Alshamrani, Abdullah Alshehri, Farrukh Arslan

Branch Mathematics and Statistics Faculty and Staff Publications

The dynamic landscape of cloud computing design presents significant challenges regarding power consumption and quality of service (QoS). Virtual machine (VM) consolidation is essential for reducing power usage and enhancing QoS by relocating VMs between hosts. OpenStack Neat, a leading framework for VM consolidation, employs the Modified Best-Fit Decreasing (MBFD) VM placement technique, which faces issues related to energy consumption and QoS. To address these issues, we propose an Energy Efficient VM Consolidation (EEVMC) approach. Our method introduces a novel host selection criterion based on the incurred loss during VM placement to identify the most efficient host. For validation, we …


A Few Lessons From Venezuela: Introducing A New Path Of Appropriate Farming And Appropriate Renewable Energy, Victor Christianto, Florentin Smarandache Jan 2024

A Few Lessons From Venezuela: Introducing A New Path Of Appropriate Farming And Appropriate Renewable Energy, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In development economics literatures, there is a known term for developing countries which tend to mismanage natural resources, that term is called natural resources curse. And two examples which have been discussed quite often is Venezuela and Norway. Here we also discuss other countries as well, including Argentina and a few lessons for Indonesia in choosing the next course of development path, especially with appropriate farming and appropriate renewable energy.


Upside-Down Logics: Falsification Of The Truth And Truthification Of The False, Florentin Smarandache Jan 2024

Upside-Down Logics: Falsification Of The Truth And Truthification Of The False, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This paper is about funny science, recreational mathematics, upside-down thinking, or contradictory reasoning (to think backward). Since a statement in some conditions may be true, in other conditions false, and a third type of conditions partially true and partially false. The paper presents for the first time two types of Upside-Down Logic, the first one is falsification of the Truth (when a true statement is transformed into a false one), and the second one is the opposite: Truthification of the False (when a false statement is transformed into a true one) - within the frame of Recreational Neutrosophy. All transformations …


Single-Valued Neutrosophic Ideal Approximation Spaces, Yaser Saber, Mohamed Abusalih, Esam Bader, Tawfik Elmasry, Abdelaziz Babiker, Florentin Smarandache Jan 2024

Single-Valued Neutrosophic Ideal Approximation Spaces, Yaser Saber, Mohamed Abusalih, Esam Bader, Tawfik Elmasry, Abdelaziz Babiker, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, we defined the basic idea of the single-valued neutrosophic upper, single-valued neutrosophic lower and single-valued neutrosophic boundary sets of a rough single-valued neutrosophic set in a single-valued neutrosophic approximation space. We joined the single-valued neutrosophic ideal notion with the single-valued neutrosophic approximation spaces and then introduced the single-valued neutrosophic ideal approximation closure and interior operators associated with a rough single-valued neutrosophic set, single-valued neutrosophic ideal approximation connectedness and the single-valued neutrosophic ideal approximation continuity between single-valued neutrosophic ideal approximation spaces are introduced. The concepts of single-valued neutrosophic groups and their approximations have also been applied in the …


On Stratified Single-Valued Soft Topogenous Structures, Fahad Alsharari, Yaser Saber, Hanan Alohali, Mesfer H. Alqahtani, Mubarak Ebodey, Tawfik Elmasry, Jafar Alsharif, Amal F. Soliman, Florentin Smarandache, Fahad Sikander Jan 2024

On Stratified Single-Valued Soft Topogenous Structures, Fahad Alsharari, Yaser Saber, Hanan Alohali, Mesfer H. Alqahtani, Mubarak Ebodey, Tawfik Elmasry, Jafar Alsharif, Amal F. Soliman, Florentin Smarandache, Fahad Sikander

Branch Mathematics and Statistics Faculty and Staff Publications

This paper presents novel concepts including stratified single-valued neutrosophic soft topogenous (stratified svns-topogenous), stratified single-valued neutrosophic soft filter (stratified svns-filter), stratified single-valued neutrosophic soft quasi uniformity (stratified svnsq-uniformity) and stratified single-valued neutrosophic soft quasi proximity (stratified svnsq-proximity). Additionally, we present the idea of single-valued neutrosophic soft topogenous structures, formed by integrating svns-topogenous with svns-filter, and discuss their properties. Furthermore, we explore the connections between these single-valued neutrosophic soft topological structures and their corresponding stratifications.


Neutrosophic Twofold Algebra, Florentin Smarandache Jan 2024

Neutrosophic Twofold Algebra, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

We introduce for the first time the concepts of Neutrosophic TwoFold Algebra with its corresponding Neutrosophic TwoFold Law, and their derivatives of Fuzzy (and all fuzzy-extensions) Two Fold Algebras and Laws. A practical application and a numerical example are also presented.


Converting Some Zero-One Neutrosophic Nonlinear Programming Problems Into Zero-One Neutrosophic Linear Programming Problems, Maissam Jdid, Florentin Smarandache Jan 2024

Converting Some Zero-One Neutrosophic Nonlinear Programming Problems Into Zero-One Neutrosophic Linear Programming Problems, Maissam Jdid, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The science of operations research is the applied aspect of mathematics and one of the most important modern sciences that is concerned with practical issues and meets the desire and request of decision makers to obtain ideal decisions through the methods it presents that are appropriate for all issues, such as linear programming, nonlinear programming, dynamic programming, integer programming, etc. The basic essence of this science is to build mathematical models consisting of an objective function and constraints. In these models, the objective function is a maximization function or a minimization function for a specific quantity. This quantity depends on …


An Introduction To Single-Valued Neutrosophic Primal Theory, Fahad Alsharari, Hanan Alohali, Yaser Saber, Florentin Smarandache Jan 2024

An Introduction To Single-Valued Neutrosophic Primal Theory, Fahad Alsharari, Hanan Alohali, Yaser Saber, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This article explores the interconnections among the single-valued neutrosophic grill, single-valued neutrosophic primal and their stratification, uncovering their fundamental characteristics and correlated findings. By introducing the notion of a single-valued neutrosophic primal, a broader framework including the fuzzy primal and intuitionistic fuzzy primal is established. Additionally, the concept of a single-valued neutrosophic open local function for a single-valued neutrosophic topological space is presented. We introduce an operator based on a single-valued neutrosophic primal, illustrating that the single-valued neutrosophic primal topology is finer than the single-valued neutrosophic topology. Lastly, the concept of single-valued neutrosophic open compatibility between the single-valued neutrosophic primal …


An Entropy Measure For N-Cylindrical Fuzzy Neutrosophic Sets, Sarannya Kumari R., Sunny Joseph Kalayathankal, Mathews M. George, Florentin Smarandache Jan 2024

An Entropy Measure For N-Cylindrical Fuzzy Neutrosophic Sets, Sarannya Kumari R., Sunny Joseph Kalayathankal, Mathews M. George, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

n-Cylindrical fuzzy neutrosophic set (n-CyFNS) is a new variant of fuzzy neutrosophic sets. In this paper our aim is to introduce an entropy measure for n-CyFNS. Here we explained its properties along with examples. Two real life applications, one on better way of shopping and the second on teacher evaluation, based on this proposed entropy measure are also illustrated.


A Refined Neutrosophic Components Into Subcomponents With Plausible Applications To Long Term Energy Planning Predominated By Renewable Energy, Victor Christianto, Florentin Smarandache Jan 2024

A Refined Neutrosophic Components Into Subcomponents With Plausible Applications To Long Term Energy Planning Predominated By Renewable Energy, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

It is known that in the long-term planning of future energy supplies, in most countries, it is most likely that the energy mix will be predominated by renewable energy generation. While this feature of a predominating renewable energy mix appears too far fetched, such long term planning has been suggested, for instance, by Mark Jacobson from Stanford and also by John Blackburn. Here we consider two things, the first would be how to consider the long-term energy planning based on neutrosophic logic split into subcomponents.


Unveiling Quantum Communication: From Bell's Inequality To Neutrosophic Logic, Victor Christianto, Florentin Smarandache Jan 2024

Unveiling Quantum Communication: From Bell's Inequality To Neutrosophic Logic, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this mini-review, we delve into the intriguing realm of quantum communication, spurred by China's recent development of the Tiantong communication satellite. This satellite, shrouded in secrecy, hints at a revolutionary approach to communication that transcends the limitations of conventional signal transmission. We explore the foundational concepts of Bell's inequality and neutrosophic logic, elucidating their roles in understanding the non-local phenomena of quantum entanglement and its potential for secure and rapid communication. Additionally, we examine the connection between Bell's inequality and Shannon information entropy, unveiling the intricate relationship between quantum mechanics and information theory. Through this exploration, we glimpse a …


Possible Evidences For Existence Of An Aether Medium (Or Virtual Inertia/Spin Superfluid Medium), Victor Christianto, Florentin Smarandache Jan 2024

Possible Evidences For Existence Of An Aether Medium (Or Virtual Inertia/Spin Superfluid Medium), Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The presentation explores the possibility of an aether medium, also referred to as a virtual inertia/spin superfluid medium, existing to explain certain physical phenomena. While the concept of an aether has been historically rejected by mainstream physics, recent findings and interpretations offer potential justifications for its reconsideration. After discussions with several physicists, notably Robert N. Boyd, PhD and others, we are convinced that aether medium does exist, or may be called virtual inertia/spin superfluid medium.


The Paradoxist Movement, Precursor Of Neutrosophy, In The Shadow Of A Totalitarian Regime, Victor Christianto, Florentin Smarandache Jan 2024

The Paradoxist Movement, Precursor Of Neutrosophy, In The Shadow Of A Totalitarian Regime, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Physics thrives on precision, but paradoxes in set theory reveal limitations in our understanding of well-defined boundaries. Neutrosophic logic, challenging the excluded middle principle, introduces the concept of "betweenness" and partial belonging. This article explores, among other things, what is less known, i.e., Paradoxism emerged as a radical artistic and literary movement in Romania during the late 1980s and continues even today. It arose within the stifling and highly controlled environment of Nicolae Ceaușescu's socialist regime, offering a rebellious outlet and a means to subvert the prevailing ideology. Understanding the Paradoxist Movement necessitates a contextual understanding of the Nicolae Ceaușescu …


The Dynamic Interplay Of Opposites In Zoroastrianism, Florentin Smarandache Jan 2024

The Dynamic Interplay Of Opposites In Zoroastrianism, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This exploration addresses some aspects of Zoroastrianism, examining how the ancient Persian belief system aligns with the dynamic and indeterminate principles of Fuzzy, Neutrosophic, and MultiAlist systems. Zoroastrianism, rooted in the eternal struggle between good and evil, light and darkness, exhibits parallels with Neutrosophy's acknowledgment of indeterminacy, incompleteness, and the dynamic interplay of opposites. The prophet Zarathustra's vision of a neutrosophic God challenges conventional notions of divine attributes, emphasizing a dynamic and evolving universe. Before investigating these vague areas, the concept of unclear conceptual borders is explored, emphasizing the indeterminacy and imprecision inherent in defining opposites or partially opposite concepts. …


The Convergence Of Ikigai And Design Thinking: Crafting A Purposeful Framework, Victor Christianto, Florentin Smarandache Jan 2024

The Convergence Of Ikigai And Design Thinking: Crafting A Purposeful Framework, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In an era where innovation is not just about solving problems but also about enhancing human experiences and fostering personal fulfillment, the convergence of Ikigai principles with Design Thinking methodology offers a promising avenue for holistic problem-solving and in-novation. This paper explores the intersection of Ikigai—a Japanese concept representing one's reason for being—and Design Thinking—a human-centered approach to innovation. We propose a conceptual framework, termed Ikigai-Driven Design (IDD), which integrates the principles of Ikigai with the stages of Design Thinking. IDD comprises five main stages: Empathize, Define, Ideate, Prototype, and Test, each combining elements of Ikigai and Design Thinking to …