(๐“˜, ๐“ฃ) โˆ’Standard neutrosophic rough set and its topologies properties

Authors

  • Nguyen Xuan Thao
  • Florentin Smarandache

Keywords:

standard neutrosophic, (๐“˜, ๐“ฃ) โˆ’ standard neutrosophic rough sets

Abstract

Abstract. In this paper, we defined (๐“˜, ๐“ฃ) โˆ’ standard neutrosophic rough sets based on an implicator ๐“˜ and a tnorm ๐“ฃ on ๐‘ซโˆ— ; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined. Some properties of (๐“˜, ๐“ฃ) โˆ’ 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 โ‰ค 1.

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Published

2016-12-15

How to Cite

Nguyen Xuan Thao, & Florentin Smarandache. (2016). (๐“˜, ๐“ฃ) โˆ’Standard neutrosophic rough set and its topologies properties. Neutrosophic Sets and Systems, 14, 65-70. Retrieved from http://fs.unm.edu/NSS2/index.php/111/article/view/580

Issue

Vol. 14 (2016): Neutrosophic Sets and Systems

Section

Articles

License

Creative Commons License

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