(ð“˜, ð“£) −Standard neutrosophic rough set and its topologies properties

Authors

  • Nguyen Xuan Thao
  • Florentin Smarandache

Keywords:

standard neutrosophic, (𝓘, 𝓣) − standard neutrosophic rough sets

Abstract

Abstract. In this paper, we defined (ð“˜, ð“£) − standard neutrosophic rough sets based on an implicator 𓘠and a tnorm ð“£ on ð‘«âˆ— ; lower and upper approximations of standard neutrosophic sets in a standard neutrosophic approximation are defined. Some properties of (ð“˜, ð“£) − 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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Published

2016-12-15

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Nguyen Xuan Thao, & Florentin Smarandache. (2016). (𝓘, 𝓣) −Standard neutrosophic rough set and its topologies properties. Neutrosophic Sets and Systems, 14, 65-70. https://fs.unm.edu/nss8/index.php/111/article/view/580

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