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Neutrosophic Crisp Set Theory

Columbus, OH, USA: Educational Publishers (2015)

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  1. Neutrosophic Algebraic Structures and Their Applications.Florentin Smarandache, Memet Şahin, Derya Bakbak, Vakkas Uluçay & Abdullah Kargın - 2022 - Gallup, NM, USA: NSIA Publishing House.
    Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of 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. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, (...)
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  • Collected Papers (Neutrosophics and other topics), Volume XIV.Florentin Smarandache - 2022 - Miami, FL, USA: Global Knowledge.
    This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, (...)
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  • Collected Papers (on various scientific topics), Volume XIII.Florentin Smarandache - 2022 - Miami, FL, USA: Global Knowledge.
    This thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theory, information fusion, decision making, instantaneous physics, quantum physics, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, scientific research methods, statistics, and others, structured in 17 chapters (Neutrosophic Theory and Applications; Neutrosophic Algebra; Fuzzy Soft Sets; Neutrosophic Sets; Hypersoft Sets; Neutrosophic Semigroups; Neutrosophic Graphs; Superhypergraphs; Plithogeny; (...)
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  • Neutrosophic Crisp α-Topological Spaces.A. A. Salama, I. M. Hanafy, Hewayda Elghawalby & M. S. Dabash - 2016 - Neutrosophic Sets and Systems 12:92-96.
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  • Neutrosophic Crisp Mathematical Morphology.EmanM El-Nakeeb, Hewayda ElGhawalby, A. A. Salama & S. A. El-Hafeez - 2017 - Neutrosophic Sets and Systems 16:57-69.
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  • Foundation of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, and Future Directions.Florentin Smarandache - 2024 - Neutrosophic Systems with Applications 13:45-66.
    We now found nine new topologies, such as: NonStandard Topology, Largest Extended NonStandard Real Topology, Neutrosophic Triplet Weak/Strong Topologies, Neutrosophic Extended Triplet Weak/Strong Topologies, Neutrosophic Duplet Topology, Neutrosophic Extended Duplet Topology, Neutrosophic MultiSet Topology, and recall and improve the seven previously founded topologies in the years (2019-2023), namely: NonStandard Neutrosophic Topology, NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. They are called avantgarde topologies because of their innovative forms.
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  • New Types of Neutrosophic Crisp Closed Sets.Ahmed B. Al-Nafee, A. A. Salama & Florentin Smarandache - 2020 - Neutrosophic Sets and Systems 36:175-183.
    The neutrosophic sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these the concepts to define a new types of neutrosophic crisp closed sets and limit points in neutrosophic crisp topological space, namly [neutrosophic crisp Gem sets and neutrosophic crisp Turig points] respactvely, we stady their properties in details and join it with topological concepts. Finally we used [neutrosophic crisp Gem sets and neutrosophic crisp Turig points] to introduce (...)
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  • The Fifth International Scientific Conference of the Faculty of Nursing, Port Said University 2019 Neutrosophic Information Systems and Nursing Scientific Research.A. A. Salama, Florentin Smarandache & José Carlos Brandão Tiago - manuscript
    The Fifth International Scientific Conference of the Faculty of Nursing, Port Said University 2019 Neutrosophic Information Systems and Nursing Scientific Research.
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  • A Multi-objective Transportation Data Problems and their Based on Fuzzy Random Variables.A. A. Salama - 2020 - Neutrosophic Knowledge 1:41-53.
    This paper is specialized with fuzzy random multi-objective unbalanced transportation data problems by using of fuzzy programming technique when the sources and destination parameters are fuzzy random variables in inequality type of constraints. In this paper, we focus on the solution procedure of the specified transportation data problems where the objective functions are minimization type and supplies and demands are replaced by the fuzzy random variables. We first convert the fuzzy random multi-objective unbalanced transportation problem into deterministic problem by using (...)
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