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Articles 301 - 330 of 10239
Full-Text Articles in Entire DC Network
Analytical Electrochemistry Of Nickel, Platinum, And Platinum-Nickel Electrodepositions, Kyle James Troche
Analytical Electrochemistry Of Nickel, Platinum, And Platinum-Nickel Electrodepositions, Kyle James Troche
Nanoscience and Microsystems ETDs
Nickel and platinum electrodeposits have numerous applications in corrosion and wear-resistant coatings, electronic connectors, heat resistance, metal finishings, and catalysts. The addition of additives can vastly change the morphology of the deposition. Electrokinetic parameters can be calculated by conducting rotating disk electrode (RDE) experiments along with Koutecky-Levich analysis. Significant challenges need to be addressed to deposit uniform films of Pt-Ni alloys from a single co-deposition bath. The main challenge is platinum’s catalytic property to reduce the overpotential for the hydrogen generation reaction. An Investigation into methanol and carbon monoxide’s hydrogen generation reaction suppression was conducted. Electrodeposition of nickel, platinum, and …
Mg And Fe Co-Doped Perovskites For The Electrochemical Oxidative Coupling Of Methane In Solid Oxide Electrolyzers, Luke H. Denoyer
Mg And Fe Co-Doped Perovskites For The Electrochemical Oxidative Coupling Of Methane In Solid Oxide Electrolyzers, Luke H. Denoyer
Chemical and Biological Engineering ETDs
More efficient usage of shale gas reserves and natural gas resources will allow for higher olefin yields and lower greenhouse gas emissions. The oxidative coupling of methane (OCM) is a direct pathway for converting methane to ethylene at temperatures >700 °C. The OCM process is typically regulated via the choice of catalyst, reactor conditions, temperature range and gas mixing. The electrochemical oxidative coupling of methane (E-OCM) is a modification to the OCM reaction by controlling the oxygen content via externally applied potentials to an SOEC. Perovskite oxide catalysts are useful for E-OCM due to their flexible bond networks and desired …
Late Cretaceous Ammonites And Other Non-Rudist Mollusks From Costa Rica And Their Paleoecology, Esteban David Lopez-Murillo
Late Cretaceous Ammonites And Other Non-Rudist Mollusks From Costa Rica And Their Paleoecology, Esteban David Lopez-Murillo
Earth and Planetary Sciences ETDs
The Nicoya region in northwestern Costa Rica contains a rich record of Upper Cretaceous fossiliferous sediments, which have received variable levels of study over the past several decades. In particular, rudists from these deposits have been well-characterized, however, the non-rudist ammonite, gastropod, and bivalve fauna have received much less attention. However, this area is particularly important because the Nicoya region was attached to the southernmost tip of North America, making it a unique crossroad between the western Tethys (Caribbean) and Pacific Oceans. Here I present a detailed investigation of these rocks and their fauna between the Late Campanian to Early …
Fermatean Neutrosophic Fuzzy Graphs: A Study On The Winner Index With Enhancing Election Analysis, Wadei Fares Al-Omeri, Kaviyarasu M, M. Rajeshwari
Fermatean Neutrosophic Fuzzy Graphs: A Study On The Winner Index With Enhancing Election Analysis, Wadei Fares Al-Omeri, Kaviyarasu M, M. Rajeshwari
Neutrosophic Sets and Systems
In this article, we discuss the fermatean neutrosophic graph of Wiener index, which is an essential topological index formed according to geodesical distance of vertices. The Wiener index is an important factor to describe the structure of a graph and we de ned it in relation to fermatean neutrosophic graphs and computed it for some speci c fermatean neutrosophic graph structures including complete fermatean neutrosophic graphs, cycles and trees. Subsequently, the Wiener index is compared with the connectivity index, a core-degree based parameter, using a sequence of theorems. As an application the study responds to the di culties in election …
Ecological Efficiency Evaluation In Petrochemical Enterprises Using Plithogenic-Artasi Model, Hailing Chen, Dingqun Zhang
Ecological Efficiency Evaluation In Petrochemical Enterprises Using Plithogenic-Artasi Model, Hailing Chen, Dingqun Zhang
Neutrosophic Sets and Systems
The application of the ecological carrying capacity theory to the assessment of petrochemical companies' eco-efficiency is the main goal of this article. This study deviates from previous research that examines company eco-efficiency from a strategic and behavioral incentive standpoint. This study uses the multiple-criteria decision-making (MCDM) approach, considering both qualitative and quantitative factors. Plithogenic sets are used to compute expert importance levels in a decision support system for choosing Petrochemical Enterprises. The suggested plithogenic-based alternative ranking methodology based on adaptive standardized intervals (ARTASI) method is used to determine the ranking of Petrochemical Enterprises. The plithogenic-ARTASI model is a combination of …
A Multi-Criteria Decision-Making Approach With Hyper Soft Set To Teaching Quality Assessment In English Language And Literature, Yuhua He
Neutrosophic Sets and Systems
The training ground for professional English speakers is the English departments of colleges and universities. Economic development and international interactions are impacted by the quality of their instruction. This study created an evaluation method with for evaluating the quality of English language and literature using questionnaire surveys, interviews, and a review of the literature. The multi-criteria decision making (MCDM) method is used in this study to evaluate the English langue and literature. Neutrosophic set is integrated with the MCDM method to deal with uncertainty and value information. This study uses the CRITIC method to compute the criteria weights. The CRITIC …
Non-Destructive Detection Of Fillet Fish Quality Using Mq135 Gas Sensor And Neutrosophic Logic-Enhanced System, M. Y. Shams, M. R. Darwesh, Roheet Bhatnagar, N. S. A. Al-Sattary, A. A. Salama, M. S. Ghoname
Non-Destructive Detection Of Fillet Fish Quality Using Mq135 Gas Sensor And Neutrosophic Logic-Enhanced System, M. Y. Shams, M. R. Darwesh, Roheet Bhatnagar, N. S. A. Al-Sattary, A. A. Salama, M. S. Ghoname
Neutrosophic Sets and Systems
This paper demonstrates the feasibility of using an electronic nose to assess fish quality by analyzing air quality and examining volatile organic compounds (VOCs) alongside physical variables, with pH, protein content, and VOCs serving as chemical reference points. Artificial intelligence algorithms were employed to predict quality and calculate regression coefficients. Using the reference neural network algorithm based on chemical and physical compounds, regression coefficients (R values) achieved were 0.99, 0.98, and 0.97, respectively. Additionally, ANFIS (Adaptive Neuro-Fuzzy Inference System) produced R values of 0.99, 0.85, and 0.98. Both fuzzy logic and ANFIS proved effective for predicting fish quality. Image processing …
Topsis Approach For Madm Based On Quadripartitioned Single Valued Neutrosophic Refined Hamacher Aggregation Operations, Arokia Pratheesha S V, Annapoorna M S, Radha R, Parul Arora, Ritika Wason, Divya Baliga B
Topsis Approach For Madm Based On Quadripartitioned Single Valued Neutrosophic Refined Hamacher Aggregation Operations, Arokia Pratheesha S V, Annapoorna M S, Radha R, Parul Arora, Ritika Wason, Divya Baliga B
Neutrosophic Sets and Systems
Hamacher operators are extensively utilized in multicriteria attribute group decision-making (MAGDM) problems due to their remarkable adaptability provided by an adjustable parameter. Here, the Hamacher T-norm and T-conorm operations for two QSVNRNs are formulated.Using these Hamacher op erations, we present the quadripartitioned single-valued neutrosophic refined Hamacher weighted averaging (QSVNRHWA) operators within the QSVNR framework and analyze their properties.Finally, we explore a TOPSIS-based approach for multi-attribute decision-making problems that employs the QSVNRHWA opera tors, demonstrating its application in evaluating practical scenarios related to converting solid waste into energy.
Single-Valued Neutrosophic Graph With Heptapartitioend Structure, Hanaa Fathi, M. Myvizhi, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Mohamed Eassa, Mohamed S. Sawah, Hussam Elbehiery
Single-Valued Neutrosophic Graph With Heptapartitioend Structure, Hanaa Fathi, M. Myvizhi, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Mohamed Eassa, Mohamed S. Sawah, Hussam Elbehiery
Neutrosophic Sets and Systems
This study applies single-valued neutrosophic sets, which extend the frameworks of fuzzy and intuitionistic fuzzy sets, to graph theory. We introduce a new category of graphs called Single-Valued Heptapartitioned Neutrosophic Graphs (SVHNG) and investigate their characteristics through comprehensive proofs and illustrative examples.
Nuestra Señora De Belén Catholic Church, Belen, New Mexico – Burials Register Extractions 1800-1860, Samuel E. Sisneros
Nuestra Señora De Belén Catholic Church, Belen, New Mexico – Burials Register Extractions 1800-1860, Samuel E. Sisneros
University Libraries & Learning Sciences Faculty and Staff Publications
This dataset was created as part of a larger study to recover the Belen colonial Catholic mission Church and the Plaza Vieja emergence history. By using extractions in Oswald Gilbert Baca’s Burial Records from the Roman Catholic Parish of Nuestra Señora de Belen, Belen, New Mexico, 1793 – 1900 as an initial source and comparing with the original register pages (available online at familysearch.org), I have begun to verify, clarify, correct and expand Baca’s extractions.
For ease in sorting and counting, I created a master spreadsheet with all the pertinent information pulled from Oswald Baca’s extractions and from images of …
Unm Hsc Education & Ipe Day Agenda 2025, Office For Continuous Professional Learning (Cpl)
Unm Hsc Education & Ipe Day Agenda 2025, Office For Continuous Professional Learning (Cpl)
HSC Education Days
No abstract provided.
Implementation Of Resiliency Training In The Biomedical Science Graduate Program First Year Curriculum, Kathryn M. Frietze
Implementation Of Resiliency Training In The Biomedical Science Graduate Program First Year Curriculum, Kathryn M. Frietze
HSC Education Days
No abstract provided.
A Pilot Academic Support Mechanism For Biomedical Sciences Graduate Program Students, Julie G. In, Kathryn M. Frietze
A Pilot Academic Support Mechanism For Biomedical Sciences Graduate Program Students, Julie G. In, Kathryn M. Frietze
HSC Education Days
No abstract provided.
Uaa Report And Findings, National Technology & Engineering Solutions Of Sandia, Llc (Ntess) And Department Of Energy (Doe)
Uaa Report And Findings, National Technology & Engineering Solutions Of Sandia, Llc (Ntess) And Department Of Energy (Doe)
Tijeras Arroyo Use Attainability Analysis
Between 2018 and 2023 NTESS and DOE conducted a UAA for the Rio Grande to Four Hills Reach of Tijeras Arroyo (AU NM-9000.A_070). The UAA was conducted to formally evaluate whether the Rio Grande to Four Hills Bridge reach of Tijeras Arroyo exhibits characteristics of an ephemeral water body under 20.6.4.97 NMAC. Based on the information presented in the UAA, the Rio Grande to Four Hills Bridge reach of Tijeras Arroyo (AU NM-9000.A_070) exhibits characteristics of an ephemeral water body. NTESS and DOE intend to petition the New Mexico Water Quality Control Commission for an amendment of the reach’s classification …
Uaa Public Involvement, National Technology & Engineering Solutions Of Sandia, Llc (Ntess) And Department Of Energy (Doe), U.S. Department Of Energy
Uaa Public Involvement, National Technology & Engineering Solutions Of Sandia, Llc (Ntess) And Department Of Energy (Doe), U.S. Department Of Energy
Tijeras Arroyo Use Attainability Analysis
Between 2018 and 2023 NTESS and DOE conducted a UAA for the Rio Grande to Four Hills Reach of Tijeras Arroyo (AU NM-9000.A_070). The UAA was conducted to formally evaluate whether the Rio Grande to Four Hills Bridge reach of Tijeras Arroyo exhibits characteristics of an ephemeral water body under 20.6.4.97 NMAC. Based on the information presented in the UAA, the Rio Grande to Four Hills Bridge reach of Tijeras Arroyo (AU NM-9000.A_070) exhibits characteristics of an ephemeral water body. NTESS and DOE intend to petition the New Mexico Water Quality Control Commission for an amendment of the reach’s classification …
A Neutrosophic Logic Ruled Based Machine Learning Approaches For Chronic Kidney Disease Risk Prediction, Bhabani S.Mohanty, Krishna Priya R, Liya Alias, R. Vijaya Kumar Reddy, Prasanta Kumar Raut, Samson Isaac, Manibharathi D, C. Saravanakumar, Nihar Ranjan Panda, Said Broumi
A Neutrosophic Logic Ruled Based Machine Learning Approaches For Chronic Kidney Disease Risk Prediction, Bhabani S.Mohanty, Krishna Priya R, Liya Alias, R. Vijaya Kumar Reddy, Prasanta Kumar Raut, Samson Isaac, Manibharathi D, C. Saravanakumar, Nihar Ranjan Panda, Said Broumi
Neutrosophic Sets and Systems
Chronic kidney disease (CKD) represents a significant global health challenge in society, and early detection of risk is essential for on-time treatment and intervention. This research suggests a novel machine-learning technique to create a reliable and accurate CKD risk prediction model by combining neutrosophic logic with various classification algorithms. We use neutrosophic logic to address the inherent imprecision and uncertainty in medical data, resulting in a more realistic portrayal of real-world scenarios. We measure the effectiveness of the proposed neutrosophic logic-based models using various metrics, including precision, specificity, and sensitivity. The results show that the neutrosophic logic method is better …
Analytical Solutions Of Heat Transfer Model In Two-Dimensional Case Of Neutrosophic Fredholm Integro-Di Erential Equations, Amer Darweesh, Kamel Al- Khaled, Marwan Alquran, Adel Almalki, Sohad Al-Omari
Analytical Solutions Of Heat Transfer Model In Two-Dimensional Case Of Neutrosophic Fredholm Integro-Di Erential Equations, Amer Darweesh, Kamel Al- Khaled, Marwan Alquran, Adel Almalki, Sohad Al-Omari
Neutrosophic Sets and Systems
This article uses the fractional residual power series (FRPS) method to solve a linear neutrosophic fractional integro-di erential equation in two dimensions. In what context does the term fractional derivative appeared, we presented the modi ed fractional power series method, a new technique that uses fractional power series expansion to approximate neutrosophic fractional integro-di erential equations. A modi ed new method has been formulated, which is an improvement on the RPS, named as Modi ed Fractional Power Series Method (MFPSM), to solve the same problem under investigation. Novel results associated with the rate of convergent and error order of the …
Exploring The Role Of Cyclin D1 In Regulating Thermogenic Program In Brown Adipose Tissue, Chengrui Qiu
Exploring The Role Of Cyclin D1 In Regulating Thermogenic Program In Brown Adipose Tissue, Chengrui Qiu
Biomedical Sciences ETDs
Abstract Adipose tissue plays a multifaceted role in regulating metabolic health and contributing to the pathophysiology of various diseases. Brown Adipose Tissue (BAT), a vital organ that senses different environmental cues such as cold stress and diet and then undergoes non-shivering thermogenesis in mammalian animals, enhancing energy expenditure to combat obesity. In our recent published study, we found that the mechanistic target of rapamycin complex 1 (mTORC1) signaling pathway exhibits doubleedge effects in regulating thermogenic function, with opposite role in BAT and white adipose tissue (WAT). To further investigate the molecular mechanisms underlying the dual role of mTORC1 in thermogenic …
Exploring The Role Of Cyclin D1 In Regulating Thermogenic Program In Brown Adipose Tissue, Chengrui Qiu
Exploring The Role Of Cyclin D1 In Regulating Thermogenic Program In Brown Adipose Tissue, Chengrui Qiu
Biochemistry and Molecular Biology Scholarship
Adipose tissue plays a multifaceted role in regulating metabolic health and contributing to the pathophysiology of various diseases. Brown Adipose Tissue (BAT), a vital organ that senses different environment cues such as cold stress and diet and then undergoes non-shivering thermogenesis in mammalian animals, enhancing energy expenditure to combat obesity. In our recent published study, we found that the mechanistic target of rapamycin complex 1 (mTORC1) signaling pathway exhibits doubleedge effects in regulating thermogenic function, with opposite role in BAT and white adipose tissue (WAT). To further investigate the molecular mechanisms underlying the dual role of mTORC1 in thermogenic regulation, …
Mathematics In Everyday Life: Exploring Practical Applications And Real-World Impact, Priyant Banerjee, Arshad Bhat
Mathematics In Everyday Life: Exploring Practical Applications And Real-World Impact, Priyant Banerjee, Arshad Bhat
Himalayan Research Papers Archive
Mathematics is an essential part of daily life and influences decisions and problem-solving in various aspects of life. This study explores how mathematical concepts are embedded in daily activities such as financial management, cooking, travel planning, and technological interactions. We will show how arithmetic, algebra, geometry, and statistics are applied in real life to improve decision-making, efficiency, and productivity. Findings indicate that people with higher mathematical literacy solve problems more efficiently, especially in budgeting, as accurate calculations minimize financial mistakes and facilitate long-term financial planning. In cooking, proportional reasoning ensures the accuracy of recipes, thus providing consistent culinary results. Travel …
Unm Pathology, Pathfinder Winter 2025, Unm Department Of Pathology
Unm Pathology, Pathfinder Winter 2025, Unm Department Of Pathology
Newsletters
No abstract provided.
University Of New Mexico Health Sciences Center Discovery Research Annual Report 2025, Michael Haderle, Kandace Donaldson, Brianna Mortensen, Christina V. Rodriguez, Jill Rothenberg, Bryan Schroeder
University Of New Mexico Health Sciences Center Discovery Research Annual Report 2025, Michael Haderle, Kandace Donaldson, Brianna Mortensen, Christina V. Rodriguez, Jill Rothenberg, Bryan Schroeder
Research Annual Reports
Annual research report from the University of New Mexico Health Sciences Center.
A Comparative Analysis Of Data-Driven And Model-Based Neutrosophication Methods: Advancing True Neutrosophic Logic In Medical Data Transformation, Maikel Yelandi Leyva Vázquez, Lorenzo Cevallos-Torres, Omar Mar Cornelio, Florentin Smarandache
A Comparative Analysis Of Data-Driven And Model-Based Neutrosophication Methods: Advancing True Neutrosophic Logic In Medical Data Transformation, Maikel Yelandi Leyva Vázquez, Lorenzo Cevallos-Torres, Omar Mar Cornelio, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Neutrosophic logic extends fuzzy logic by explicitly modeling indeterminacy (I), offering a robust framework for uncertainty representation. The transformation of crisp data into neutrosophic triplets {T, I, F}—known as neutrosophication—is crucial for applying neutrosophic models in real-world analysis. However, comparative evaluations of existing neutrosophication methods remain limited. This study presents a systematic comparison of five approaches: three model-based methods (Parabolic, Threshold Distance, Fuzzy Membership), one density-based method (Kernel Density Estimation), and a proposed data-driven K-Means clustering method integrating sigmoid membership functions. Using a medical dataset of 299 patients and six continuous clinical variables, we assessed statistical behavior, consistency, and alignment …
Neutrosophic Perspectives On The Body-Mind-Soul-Spirit Fluidity, Florentin Smarandache
Neutrosophic Perspectives On The Body-Mind-Soul-Spirit Fluidity, Florentin Smarandache
Neutrosophic Sets and Systems
This paper examines the concepts of the ‘Body’, ‘Mind’, ‘Soul,’ and ‘Spirit’ through the lens of neutrosophy. Neutrosophy challenges traditional binary logic, positing that ‘truth’ is not a fixed entity. Through the lens of neutrosophy, which is a philosophical framework, one seeks to address and reconcile contradictions and uncertainties in various fields, including philosophy, mathematics and science in general, as well as logic. Any phenomenon or dynamic structure can exist in different degrees (of truth, indeterminacy, and falsity). By applying this triadic approach to these four components, we propose the notion of a Neutrosophic Body-Mind-Soul-Spirit as a Quadruple Fluidity, where …
Local-Neutrosophic Logic And Local-Neutrosophic Sets: Incorporating Locality With Applications, Florentin Smarandache, Takaaki Fujita
Local-Neutrosophic Logic And Local-Neutrosophic Sets: Incorporating Locality With Applications, Florentin Smarandache, Takaaki Fujita
Branch Mathematics and Statistics Faculty and Staff Publications
The study of uncertainty has been a significant area of research, with concepts such as fuzzy sets [87], fuzzy graphs [51], and neutrosophic sets [58] receiving extensive attention. In Neutrosophic Logic, indeterminacy often arises from real-world complexities. This paper explores the concept of locality as a key factor in determining indeterminacy, building upon the framework introduced by F. Smarandache in [73]. Locality refers to processes constrained within a specific region, where an object or system is directly influenced by its immediate surroundings. In contrast, nonlocality involves effects that transcend spatial or temporal boundaries, where changes in one location have direct …
Neutrosophic Twofold Superhyperalgebra And Anti Superhyperalgebra, Takaaki Fujita, Florentin Smarandache
Neutrosophic Twofold Superhyperalgebra And Anti Superhyperalgebra, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Neutrosophic Sets are conceptual frameworks designed to address uncertainty. A Neutrosophic TwoFold Algebra is a hybrid algebraic structure defined over a neutrosophic set, combining classical algebraic operations with neutrosophic components. Concepts such as Hyperalgebra and Superhyperalgebra extend classical Algebra using Power Sets and 𝑛-th powersets. Additionally, structures such as NeutroAlgebra and AntiAlgebra have been defined in recent y ears. This paper explores several related concepts, including TwoFold SuperhyperAlgebra and Anti SuperhyperAlgebra.
When Emotions Flare: Solar Rhythms, Emotions And Cycles Of Political Revolution, Andreas Hernandez, Carolina Zilli Vieira, Alexandra Smith, Rebecca Olson
When Emotions Flare: Solar Rhythms, Emotions And Cycles Of Political Revolution, Andreas Hernandez, Carolina Zilli Vieira, Alexandra Smith, Rebecca Olson
Geography and Environmental Studies Faculty Publications
Revolutions are among the most transformative events in human history. Analyzing 395 revolutionary episodes from 1900 to 2014, we find that major waves cluster around solar maxima - periods of intensified geomagnetic activity. Drawing on biomedical research linking geomagnetic disturbances to cardiovascular and stress regulation, and thus to emotional states, we propose that solar cycles modulate the affective ecologies within which revolutions arise. Solar activity may accelerate, shape, and amplify revolutionary cycles by heightening emotional climates and tipping fragile systems toward mass mobilization. This reframes revolutions as planetary events - entanglements of political conflict, embodied emotion, and cosmic …
Some Types Of Hyperneutrosophic Set (7): Type-M, Nonstationary, Subset-Valued, And Complex Refined, Takaaki Fujita, Florentin Smarandache
Some Types Of Hyperneutrosophic Set (7): Type-M, Nonstationary, Subset-Valued, And Complex Refined, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This paper builds upon the foundational advancements introduced in [26,39–43]. TheNeutrosophic Set provides a versatile mathematical framework for addressing uncertainty through its three membership functions: truth, indeterminacy, and falsity [84]. Extensions such as the Hyperneutrosophic Set and the SuperHyperneutrosophic Set have been recently proposed to address increasingly complex and multidimensional problems. Detailed formal definitions of these concepts can be found in [33]. In this paper, we extend the Type-𝑚, Nonstationary, Subset-Valued, and Complex Refined Neutrosophic Sets using the Hyperneutrosophic Set and the SuperHyperneutrosophic Set frameworks.
Superhypergraph Neural Networks And Plithogenic Graph Neural Networks: Theoretical Foundations, Takaaki Fujita, Florentin Smarandache
Superhypergraph Neural Networks And Plithogenic Graph Neural Networks: Theoretical Foundations, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Hypergraphs extend traditional graphs by allowing edges to connect multiple nodes, while superhypergraphs further generalize this concept to represent even more complex relationships. Neural networks, inspired by biological systems, are widely used for tasks such as pattern recognition, data classification, and prediction. Graph Neural Networks (GNNs), a well-established framework, have recently been extended to Hypergraph Neural Networks (HGNNs), with their properties and applications being actively studied. The Plithogenic Graph framework enhances graph representations by integrating multi-valued attributes, as well as membership and contradiction functions, enabling the detailed modeling of complex relationships. In the context of handling uncertainty, concepts such as …
Some Types Of Hyperneutrosophic Set (6): Multineutrosophic Set And Refined Neutrosophic Set, Takaaki Fujita, Florentin Smarandache
Some Types Of Hyperneutrosophic Set (6): Multineutrosophic Set And Refined Neutrosophic Set, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This paper builds on the foundational advancements introduced in [22, 29–32]. The Neutrosophic Set pro-vides a flexible mathematical framework for managing uncertainty by utilizing three membership functions: truth, indeterminacy, and falsity. Recent extensions, such as the HyperNeutrosophic Set and the SuperHy-perNeutrosophic Set, have been developed to address increasingly complex and multidimensional challenges. Comprehensive formal definitions of these concepts are provided in [26]. In this paper, we further extend various specialized classes of Neutrosophic Sets. Specifically, we explore extensions of the MultiNeutrosophic Set and the Refined Neutrosophic Set using HyperNeutrosophic Sets and 𝑛-SuperHyperNeutrosophic Sets, providing detailed analysis and examples.