Neutrosophic Set and Neutrosophic Topological Spaces
By A. A. Salama, S. A. Alblowi. 2012
469 citations recorded by the source corpus.
Neutrosophy has been introduced by Smarandache (7, 8) as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others. Finally, we extend the concepts of fuzzy topological space (4), and intuitionistic fuzzy topological space (5, 6) to the case of neutrosophic sets. Possible application to superstrings and
Subfields: Computational Theory and Mathematics, Management Science and Operations Research, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a15651be1051782c75dee8d4bb63366f4db8a9ef
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In Computational Theory and Mathematics
In Management Science and Operations Research
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Citations in the corpus
- Generalized Neutrosophic Closed Sets (2018, methodology): “After the introduction of the concepts of neutrosophy and neutrosophic set by Smarandache Smarandache (1999, 2000), the concepts of neutrosophic crisp set and neutrosophic crisp topological spaces were introduced by Salama and Alblowi (2012).”