Florentin Smarandache

الفلسفة العربية من منظور نيوتروسوفي

Sidra Sayed

Muhammad Akram

Nabeela Ishfaq

Rough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information.

Decision-Making Approach Based on Neutrosophic Rough Information

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

Surapati Pramanik

“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.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 20 / 2018

An International Book Series in Information Science and Engineering

Neutrosophic Sets and Systems, vol 20/2018

V. Christianto

The present book covers a wide-range of issues from alternative hadron models to their likely implications to New Energy research, including alternative interpretation of low-energy reaction (coldfusion) phenomena.The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex Ginzburg-Landau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development.F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss Yang-Mills field from Quaternion Space Geometry. Diego Rapoport discusses link between Torsion fields and Hadronic Mechanic.A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital Discrete and Combinatorial methods and their likely implications to New Energy research. Pavel Pintr et al. describe planetary orbit distance from modified Schrodinger equation, and M. Pereira discusses his new Hypergeometrical description of Standard Model of elementary particles.The present volume will be suitable for researchers interested in New Energy issues, in particular their link with alternative hadron models and interpretation.While some of these discussions may be found a bit too theoretical, our view is that once these phenomena can be put into rigorous theoretical framework, thereafter more 'open-minded' physicists may be more ready to consider these New Energy methods more seriously. Our basic proposition in the present book is that considering these new theoretical insights, one can expect there are new methods to generate New Energy technologies which are clearly within reach of human knowledge in the coming years.

Hadron models and related New Energy issues

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

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.

New Trends in Neutrosophic Theory and Applications, Volume II

W. B. Vasantha Kandasamy

Maikel Leyva-Vázquez

A. A. Salama

Shawkat Alkhazaleh 

Emad Marei

Said Broumi 

Karina Pérez-Teruel 

A.A.A. Agboola

A Quarterly International Journal in Information Science and Engineering

Neutrosophic Sets and Systems, vol. 2/2014

Assia Bakali

Mohamed Talea

Kishore Kumar P K

In this chapter, we introduce a new algorithm for finding a minimum spanning tree (MST) of an undirected neutrosophic weighted connected graph whose edge weights are represented by an interval valued neutrosophic number.

A New Concept of Matrix Algorithm for MST in Undirected Interval Valued Neutrosophic Graph

“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). In neutrosophic logic a proposition has a degree of truth (T), a degree of indeterminacy (I), and a degree of falsity (F), where T, I, F are standard or non-standard subsets of ]-0, 1+[. Neutrosophic Probability is a generalization of the classical probability and imprecise probability. Neutrosophic Statistics is a generalization of the classical statistics.

An International Journal in Information Science and Engineering

Neutrosophic Sets and Systems, vol. 75/2025

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

“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 Sets and Systems, vol. 76/2025

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

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 22 / 2018

This book is a collection of experimental short prose related to Paradoxism, an international movement in literature, arts, science, etc. based on excessive use of antitheses, antinomies, contradictions, oxymoron, paradoxes in creation, set up by the author in 1980.It is an upside-down writing of ?non-prose?, entangled grammatical rules, hybrid style, with rebus crosswords and mathematical or chemical formulas and graphs or pictures getting their place in the literary prose, with mixed classical fairy tales, invented children language, computer chart narration?where Smarandache is a great? story anti-teller.

Short Paradoxist Prose

Defective Writing

Mumtaz Ali

This book is a collection of nine papers, contributed by different authors and co-authors (listed in the order of the papers): A. A. Salama, O. M. Khaled, K. M. Mahfouz, M. Ali, F. Smarandache, M. Shabir, L. Vladareanu, S. Broumi, K. Mondal, S. Pramanik, I. Arockiarani, I. R. Sumathi, M. Eisa and I. Deli. In first paper, the authors studied Neutrosophic Correlation and Simple Linear Regression. The Generalization of Neutrosophic Rings and Neutrosophic Fields is proposed in the second paper. Cosine Similarity Measure of Interval Valued Neutrosophic Sets is studied in third paper. In fourth paper A Study on Problems of Hijras in West Bengal Based on Neutrosophic Cognitive Maps is introduced. Similarly in fifth paper Neutrosophic Crisp Set Theory is discussed. In paper six Interval Valued Fuzzy Neutrosophic Soft Structure Spaces are presented by the authors. Soft Neutrosophic Bi-LA-Semigroup and Soft Neutrosophic N-LA-Semigroup is given in seventh paper. Introduction to Image Processing via Neutrosophic Technique is given in paper eight. In the last paper, Neutrosophic Soft Multi-Set Theory and Its Decision Making is presented by the authors.

book series

Neutrosophic Sets and Systems, Vol. V

Ferhat Tas

Selçuk Topal

In this paper, we define the neutrosophic valued (and generalized or G) metric spaces for the first time. Besides, we newly determine a mathematical model for clustering the neutrosophic big data sets using G-metric. Furthermore, relative weighted neutrosophic-valued distance and weighted cohesion measure, is defined for neutrosophic big data set. We offer a very practical method for data analysis of neutrosophic big data although neutrosophic data type (neutrosophic big data) are in massive and detailed form when compared with other data types.

Florentin Smarandache

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