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  1. Divergence measure of neutrosophic sets and applications.Nguyen Xuan Thao & Florentin Smarandache - 2018 - Neutrosophic Sets and Systems 21:142-152.
    In this paper, we first propose the concept of divergence measure on neutrosophic sets. We also provide some formulas for the divergence measure for neutrosophic sets. After that, we investigate the properties of proposed neutrosophic divergence measure. Finally, we also apply these formulas in medical problem and the classification problem.
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  2. Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic Information Systems.Nguyen Xuan Thao, Bui Cong Cuong & Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 14:80-92.
    A rough fuzzy set is the result of the approximation of a fuzzy set with respect to a crisp approximation space. It is a mathematical tool for the knowledge discovery in the fuzzy information systems. In this paper, we introduce the concepts of rough standard neutrosophic sets and standard neutrosophic information system, and give some results of the knowledge discovery on standard neutrosophic information system based on rough standard neutrosophic sets.
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  3. Support-Neutrosophic Set: A New Concept in Soft Computing.Nguyen Xuan Thao, Florentin Smarandache & Nguyen Van Dinh - 2017 - Neutrosophic Sets and Systems 16:93-98.
    Today, soft computing is a field that is used a lot in solving real-world problems, such as problems in economics, finance, banking... With the aim to serve for solving the real problem, many new theories and/or tools which were proposed, improved to help soft computing used more efficiently. We can mention some theories as fuzzy sets theory (L. Zadeh, 1965), intuitionistic fuzzy set (K Atanasov, 1986), neutrosophic set (F. Smarandache 1999). In this paper, we introduce a new notion of sup (...)
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  4. (I,T)-Standard neutrosophic rough set and its topologies properties.Nguyen Xuan Thao & Florentin Smarandache - 2016 - Neutrosophic Sets and Systems 14:65-70.
    In this paper, we defined (I,T) − standard neutrosophic rough sets based on an implicator I and a t-norm T on I; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined. Some properties of (I,T) − standard neutrosophic rough sets are investigated. We consider the case when the neutrosophic components (truth, indeterminacy, and falsehood) are totally dependent, single-valued, and hence their sum is ≤ 1.
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