Neutrosophic Sets and Systems
Abstract
This edition of “Neutrosophic Sets and Systems” presents a diverse collection of studies that contribute to the theoretical development and practical application of neutrosophic, fuzzy, hypersoft, and generalized algebraic systems in complex decision-making and information analysis environments. The published works explore innovative mathematical structures, including generalized neutrosophic topological spaces, neutrosophic algebraic systems, hypersoft and dual hesitant frameworks, multi-valued and n-fold algebraic models, and advanced decision-making methodologies designed to address indeterminacy, inconsistency, vagueness, and multidimensional uncertainty. Several contributions introduce new classes of neutrosophic closed sets, contra continuous mappings, and generalized algebraic operators, extending existing theories in topology, algebra, and set theory. Other studies focus on the integration of linguistic variables, hypersoft structures, and hesitant fuzzy environments to enhance multi-criteria decision-making, medical diagnosis, risk assessment, and intelligent decision-support systems. The volume also includes methodological advances in inconsistency management, uncertainty quantification, aggregation operators, and hybrid mathematical models capable of representing complex real-world systems with multiple interacting criteria. Collectively, the articles demonstrate the growing relevance of neutrosophic and generalized uncertainty-based frameworks across mathematics, artificial intelligence, engineering, optimization, and applied decision sciences, while providing new theoretical foundations and computational tools for future interdisciplinary research.
Recommended Citation
Smarandache, Florentin; Muhammad Abdel-Baset; and Maikel Leyva-Vázquez. "Neutrosophic Sets and Systems, vol. 98, 2026." Neutrosophic Sets and Systems 98, 1 (2026). https://digitalrepository.unm.edu/nss_journal/vol98/iss1/16