AINov 23, 2016

New Trends in Neutrosophic Theory and Applications

arXiv:1611.08555v178 citations
Originality Synthesis-oriented
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This is an incremental review paper summarizing trends in neutrosophic theory for researchers in fields like data mining and decision making.

The paper reviews the rapid expansion of neutrosophic theory, highlighting the hybridization of neutrosophic sets with other sets like rough and hesitant fuzzy sets, and its applications in areas such as data mining, decision making, and medicine.

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. The different hybrid structure such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been a very important tool in all various areas of data mining, decision making, e-learning, engineering, medicine, social science, and some more. The book New Trends in Neutrosophic Theories and Applications focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic information. Some topics deal with data mining, decision making, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more.

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