Florentin Smarandache

Mohamed Abdel-Basset

Maikel Leyva Vazquez

This issue of Neutrosophic Sets and Systems presents a collection of advanced studies in neutrosophy and its applications across various fields, extending concepts like fuzzy sets and logic. The papers address topics related to managing uncertainty, indeterminacy, and ambiguity in complex systems. Key applications include mathematics, such as fixed point theorems and topological spaces, and engineering problems, such as highway asphalt pavement maintenance and traffic management. The issue also explores the use of neutrosophic frameworks in decision-making and evaluation, with articles on e-commerce website quality, supply chain performance, academic teaching assessment, and the evaluation of hotel service quality. Other papers apply the neutrosophic approach to areas like stock market analysis, green technology innovation, and the automated generation of digital media content. The research demonstrates the utility of neutrosophic theory in providing robust and transparent solutions where traditional deterministic models may fall short.

Neutrosophic Sets and Systems, Vol. 90, 2025

Said Broumi

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea <A> together with its opposite or negation <antiA> and with their spectrum of neutralities <neutA> in between them (i.e. notions or ideas supporting neither <A> nor <antiA>). The <neutA> and <antiA> ideas together are referred to as <nonA>. Neutrosophy is a generalization of Hegel's dialectics (the last one is based on <A> and <antiA> only). According to this theory every idea <A> tends to be neutralized and balanced by <antiA> and <nonA> ideas - as a state of equilibrium. In a classical way <A>, <neutA>, <antiA> are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that <A>, <neutA>, <antiA> (and <nonA> of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, vol. 52/2022

Volume 81 of “Neutrosophic Sets and Systems” features diverse applications of neutrosophic theory across various domains of science and engineering. The collection of papers explores advanced methodologies and models for addressing complex problems characterized by uncertainty, imprecision, and vagueness. A primary focus is on the development and application of neutrosophic frameworks for multi-criteria decision-making (MCDM), with studies evaluating teaching quality in higher education, assessing service quality in tourism, and analyzing the performance of industrial systems such as the new energy vehicle supply chain. The volume also includes theoretical contributions, such as research on neutrosophic graphs and their connectivity, the use of different types of neutrosophic sets like Type-2, Triangular, and HyperSoft Sets, and a bibliometric analysis of the journal itself. These papers demonstrate the versatility of neutrosophic theory as a tool for solving real-world challenges, including the evaluation of landscape design for abandoned coal mine sites, risk assessment of municipal projects, and the prioritization of higher education management strategies for sustainability.

Neutrosophic Sets and Systems, Vol. 81, 2025

Volume 83 of “Neutrosophic Sets and Systems” features a diverse collection of research applying neutrosophic theory to address complex challenges across various fields, including information science, engineering, and healthcare. The papers in this volume present new models and methodologies that effectively handle uncertainty, indeterminacy, and imprecision. Significant theoretical contributions include the exploration of concepts like Neutrosophic Metric Spaces, Fermatean Neutrosophic Graphs, and SuperHyperSoft Sets, along with their applications in fields like energy supply systems and fixed-point theorems. The volume also highlights practical applications in multi-criteria decision-making (MCDM) for areas such as entrepreneurial education and civil litigation efficiency. Furthermore, research is presented on the use of neutrosophic logic with advanced technologies like deep learning and machine learning for tasks such as brain tumor medical image analysis and sleep disorder prediction. The collection also includes studies on risk management, digital media arts evaluation, and natural language processing. This volume demonstrates the expansive and evolving utility of neutrosophic theory in both foundational research and real-world problem-solving.

Neutrosophic Sets and Systems, Vol. 83, 2025

Volume 80 of “Neutrosophic Sets and Systems” showcases cutting-edge research and applications of neutrosophic theory in various scientific and engineering disciplines. The papers in this volume present novel frameworks and methodologies for addressing problems characterized by uncertainty, vagueness, and imprecision. A significant focus is on advanced multi-criteria decision-making (MCDM) approaches, with applications ranging from evaluating e-commerce sites and teaching quality in diverse university subjects to credit evaluation in construction projects. The volume also includes studies on theoretical extensions of neutrosophic concepts, such as neutrosophic hypersoft sets, plithogenic sets, and hypersoft semi-connected spaces. Furthermore, applied research is featured on topics including stock price prediction using hybrid models, assessing the performance of social institutions, and mapping barriers to sustainable fashion consumption. This collection demonstrates the versatility of neutrosophic theory as a powerful tool for modeling and solving complex, real-world problems.

Neutrosophic Sets and Systems, Vol. 80, 2025

 Mohamed Abdel-Basset

Neutrosophy as science has inclusive attributes that make possible to extract the contributions of neutral values in the analysis of data sets; it builds a unified field of logic for transdisciplinary studies that transcend the boundaries between natural and social sciences. Neutral philosophy seeks to solve the problems of indeterminacy that appear universally, to reform the current natural or social sciences, with an open methodology to promote innovation. The research products related in this special issue start from the premise that the difficulty is not the complexity of the social environment, but the instrumental obsolescence to observe, interpret and manage that complexity, there are bold approaches and proposals for valid solutions that come to enrich the universe of resolution through the use of neutral methods. In the last year, the use of tools related to neutrosophy and its application to the social sciences, modeling of social phenomena based on simulation agents, problems associated with health, psychology, education, environmental management and sustainability solutions and legal sciences has increased in the events organized by the Asociacion Latinoamericana de Ciencias Neutrosoficas (ALCN in Spanish). The methods of higher incidence are cognitive maps, neutral Iadovs, neutral Delphi, analytical hierarchy process methods, neutral statistics, neutral personality models, among the most significant. In this special issue, there is a predominance of research from Ecuadorian universities, demonstrating how neutrosophy and its methods are consolidated as instruments of analysis, inference and research validation.

Neutrosophic Sets and Systems, Vol. 34, 2020. Special Issue: Social Neutrosophy in Latin America

 Said Broumi

This special issue reflects the impact of neutrosophic theory in Latin America, especially after creating the Latin American Association of Neutrosophic Sciences. Among the areas of publication most addressed in the region are found in the interrelation of social sciences and neutrosophy, presenting outstanding results in these research areas. The main objective of this special issue is to divulge the impact publication related to the Neutrosophic theory and explore new areas of research and application in the region. The SI reflects the influence of the neutrosophic publications in Latin America by opening new research areas mainly related to Neutrosophic Statistics, Plithogeny, and NeutroAlgebra. Furthermore, it is worth mentioning the incorporation of authors from new countries in the region, such as Paraguay, Uruguay, and Panama, to have authors in total from 15 countries, 12 of them from the Latin American region.

Maikel Leyva Vazquez

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