Digital Commons Network^™

A Novel Hybrid Distance-Based Similarity Measures For N-Valued Neutrosophic Trapezoidal Numbers And Its Applications, Vakkas Uluçay

Neutrosophic Sets and Systems

No abstract provided.

An Approach For Solving Unconstrained And Constrained Neutrosophic Geometric Integer Programming Problems, Alaa Mokhtar, Mohamed Solomon, Rabie Mosaad, Eman Mostafa

Neutrosophic Sets and Systems

No abstract provided.

Metrizability Of Topology, Precompactness And Semi-Compatibal Mappings In Neutrosophic Metric Spaces, Khaleel Ahmad, Umar Ishtiaq

Neutrosophic Sets and Systems

No abstract provided.

Γ Neutrosophic Set, Kanimozhiraman Kanimozhiraman

Neutrosophic Sets and Systems

No abstract provided.

Common Best Proximity Point Theorems In Neutrosophic Complete Metric Spaces, V. Pragadeeswarar, A. Sreelakshmi Unni

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Hermite Polynomials: Mathematical Foundations For Quantum Systems With Fundamental Indeterminacy, Khalil Yahya

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Tri-Metric Space And Its Topological Properties, Jamal Oudetallah, Wedad Alharbi, Rehab Alharbi, Ala Amourah, Abdullah Alsoboh, Faisal Al-Sharqi, Tala Sasa

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Logic In Energy Efficiency And The Circular Economy: Uncertainty Modeling In Power Grids, Omar Mar Cornelio, Barbara Bron Fonseca

Neutrosophic Sets and Systems

No abstract provided.

Dynamic Neutrosophic Cubic Sets For Quality Analysis Of Curriculum Development And Teaching Practice For Digital Literacy Of Music Education Majors In The Age Of Artificial Intelligence, Jian Fang

Neutrosophic Sets and Systems

No abstract provided.

Strategies For Socio-Emotional Well-Being In Medical Training With Artificial Intelligence Using Neutrosophic Ahp, Regla Cristina Valdés Cabodevilla, Varna Hernández Junco, Zenia Batista Castro, Dra. Esp. Vivian González Aguilar

Neutrosophic Sets and Systems

No abstract provided.

Optimal Neutrosophic Difference To Log-Type Estimator For Population Mean: Some Numerical And Simulation Studies, Sm Afsar Basha, Mahamood Usman

Neutrosophic Sets and Systems

No abstract provided.

Multiparameterized Hypersoft Set And Type-2 Hypersoft Set, Takaaki Fujita, Iqbal M. Batiha

Neutrosophic Sets and Systems

No abstract provided.

A Clustering Approach Based On A Quadripartitioned Neutrosophic Minimal Spanning Tree And Its Application Using Probabilistic Membership Values, R. Chatterjee, Divyashree B. K.

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Exponential Ratio-Type Estimator For Finite Population Mean, Anisha Taneja, Sachin Malik, Prem Shankar Jha

Neutrosophic Sets and Systems

No abstract provided.

Determinant-Theoretic Model For Mcdm Under Neutrosophic Hyper Soft Rough Matrices, J. Boobalan, E. Mathivadhana

Neutrosophic Sets and Systems

No abstract provided.

Cubic Spherical Neutrosophic Weighted Geometric Heronian Mean Operator For Mcdm With Application To Fertilizer Selection, S. Gomathi, A. Kalamani, L. Senthil Kumar, Rahul Shukla

Neutrosophic Sets and Systems

No abstract provided.

Possibility Interval-Valued Fermatean Neutrosophic Soft Sets In Decision Making, Arunadevi S, Jayanthi D, Saranya M

Neutrosophic Sets and Systems

No abstract provided.

Z-Connectedness And Z-Compactness In Neutrosophic Soft Topological Spaces And An Mcdm Approach For Yarn Production Machine Selection Using Distance And Similarity Measures, Vijayalakshmi B, Madhunika S

Neutrosophic Sets and Systems

No abstract provided.

Fermatean Neutrosophic Set In Forest Area, Degradation Zone, Deforestation Using Pixel Profile Software, M.N. Bharathi

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Sets And Systems, Vol. 95,2026, Florentin Smarandache, Mohamed Abdel-Basset, Maikel. Leyva Vazquez

Neutrosophic Sets and Systems

No abstract provided.

Interval-Valued Neutrosophic Fuzzy N-Fold Positive Implicative Ideals Of Bck-Algebras: Properties And Characterizations, K Anjaneyulu Naik, B Satyanarayana, D Ramesh, B Tandava Krishna

Neutrosophic Sets and Systems

No abstract provided.

Single-Valued Neutrosophic Pessimistic Multi-Granulation Rough Set Model Based On (A,B,C)-Cut Relations And Its Applications, Xu-Xi Wu, Hu Zhao, Qiao-Ling Song, Xiong-Wei Zhang

Neutrosophic Systems with Applications

To address uncertainty in multi-source data, this paper proposes a single-valued neutrosophic pessimistic multi-granulation rough set (P-SVN-MGRS) model based on (a,b,c)-cut relations. In this framework, each neutrosophic relation is characterized by three membership-degree functions: T(x,y), I(x,y), and F(x,y). These functions correspond to truth-membership, indeterminacy, and falsity, respectively. The (α,β,γ)-cut relation employs parameters α,β,γ∈(0,1] as thresholds for the three functions. A pair (x,y) belongs to …

Pythagorean Neutrosophic Mathematical Modelling, M. Kavitha, R. Irene Hepzibah

Neutrosophic Systems with Applications

Survey-based assessments often suffer from ambiguity, inconsistency, and uncertainty, which weaken the reliability of decision-making outcomes. To address these challenges, this study proposes a novel decision-support framework for data fuzzification, ranking, and agility measurement using Pythagorean Neutrosophic Fuzzy Sets (PNFS). The proposed method offers three major advantages: (i) enhanced ability to capture high levels of indeterminacy compared with classical fuzzy and intuitionistic models, (ii) improved ranking accuracy through a newly developed score function and ranking algorithm, and (iii) greater robustness in scenarios involving conflicting, incomplete, or imprecise expert judgments. The framework includes a refined Pythagorean Neutrosophic fuzzification technique, mathematically supported …

Neutrosophic Hankel Transforms And Their Application To Cross-Domain Legislative Integration, Mona Gharib, Mehboob Ali, Ishtiaq Hussain

Neutrosophic Systems with Applications

This paper introduces the Neutrosophic Hankel Transform (NHT) as a novel mathematical framework for modeling systems with radial structure under uncertainty, indeterminacy, and inconsistency. Building upon classical Hankel transforms and neutrosophic logic, we define two complementary realizations: a componentwise transform (NHT–C) that transports uncertainty with the signal, and a kernel-weighted transform (NHT–K) that embeds neutrosophic weights into the integral kernel. We establish linearity, inversion, and Parseval-type relations, and derive operational rules that diagonalize the Bessel radial operator.

To demonstrate utility, we formulate a radial diffusion–reaction model for pollutant concentration in a radialized river cross-section and solve it in closed form …

A Study Of Regular And Irregular Complex Neutrosophic Vague Graphs, Suriyakumar G, V. J. Sudhakar

Neutrosophic Systems with Applications

In this paper, We define the regular complex neutrosophic vague graph and the irregular complex neutrosophic vague graph for this purpose. We specify a node’s degree and total degree in a normal complex neutrosophic vague graph. A few features and theorems of those regular and irregular complex neutrosophic vague graphs are presented. This article defines busy and free nodes in a normal complex neutrosophic vague graph. Also, we describe a regular and irregular complex neutrosophic vague graph with a cycle as the underlying crisp graph.

From Uncertainty To Lucidity: Awareness Neutrosophic Kähler-Einstein Innovative Evaluator Methodological In Era Of Green Artificial Intelligence, Mona Mohamed, Ahmed M. Ali

Neutrosophic Systems with Applications

The rapid development of generative artificial intelligence (Gen AI) is a double-edged sword. On the positive side, Large Language Models (LLMs) of Gen AI as chatbot considered intelligent friend. Due to its potential to stimulate the maturation of ideas and cultivate fundamental general abilities like problem-solving and critical thinking. The advancement of Gen AI continued after that, moving from “chatbots” to “AI agents” that carry out multi-step activities in addition to responding to queries.

Regarding the downside, the terminology of “Red AI” era brought about by generative AI is marked by a performance at any expense that puts pressure on …

A Neutrosophic Homological-Gröbner Framework For Ai-Driven Media Education Evaluation, Mona Gharib, Hafiz Muhammad Athar Farid, José M. Merigó, Muhammad Riaz

Sustainable Machine Intelligence Journal

The integration of artificial intelligence (AI) with media technologies has transformed teaching in Journalism and Communication, introducing new challenges for quality evaluation. Traditional assessment methods fail to capture the uncertainty, inconsistency, and incompleteness inherent in modern educational data. This paper proposes a Neutrosophic Homological–Gröbner Framework, which unifies three perspectives: neutrosophic sets to encode uncertain evidence, homological algebra to analyze structural coherence, and Gröbner bases to systematically simplify interdependent evaluation rules.

Within this framework, diverse evidence is encoded into neutrosophic triplets, daggregate into course-level indicators, and organized into neutrosophic chain complexes, where Betti indices reveal coherence and fragmentation. Educational policies are …

Closing The Loop In Sustainable Fashion: Recycling Textile Waste And Its Environmental, Social, And Consumer Impacts, Anthony Amotoe-Bondzie

Sustainability Program Posters and Papers

Fast fashion has intensified textile waste, emissions, and social inequities across global supply chains. This study examines sustainable fashion frameworks and the role of textile recycling in advancing circularity. It employes a qualitative integrative literature review synthesizing interdisciplinary research on waste streams, recycling technologies, policy instruments, and consumer behavior. However, advanced recycling technologies offer environmental benefits but remain limited in scale. Nonetheless, rising consumption offsets efficiency gains, while economic and behavioral barriers hinder systemic change. Technological innovation alone is insufficient; circular design, regulatory enforcement, and reduced overproduction are essential for sustainable transformation.

An Intuitionistic Fuzzy Hypergraph Model Enhanced ‎By Forest-Of-Walks Dynamics For Medical Image ‎Segmentation, Brinthaguru Thangaraj, Karthick Palanisamy

Mansoura Engineering Journal

The process of accurately segmenting Urolithiasis and pulmonary nodules from medical images presents significant difficulties because of three main factors which include nonuniform intensity distribution and the presence of weak object borders and the uncertainty caused by anatomical structure overlaps. The study introduces F-Zinhger as a solution to these problems through its application of the Forest of Walks technology. The method uses superpixels as fundamental elements which form a multi-scale hypergraph that establishes hyperedges through three criteria: intensity similarity, spatial proximity, and Z-intuitionistic fuzzy hesitation to capture complex contextual connections. The system incorporates a random walk-based label propagation system. The …

Underwater Image Identification Using Fuzzy Soft Planar Graph, Bhuvaneswari Natarajan Jayakar, Karthick Palanisamy

Mansoura Engineering Journal

High-attribute underwater image segmentation is fundamental to autonomous marine exploration, biodiversity monitoring, and subsea infrastructure inspection. However, underwater environments are inherently stochastic, exhibiting severe light attenuation, chromatic distortion, scattering effects, and noise, all of which significantly degrade image quality and challenge conventional computer vision techniques. Hence, Fuzzy logic which handles uncertainty and imprecision in data and Soft sets which manage parameterized information, are widely applied to underwater image analysis. Fuzzy Soft Planar Graphs (FSPGs) constitute a mathematical framework that integrates fuzzy set theory, soft set theory and planar graph structures for preserving spatial topology. The proposed methodology adopts a hybrid …