Standard neutrosophic rough set and its topologies properties

Nguyễn Xuân Thảo, Florentín Smarandache · Neutrosophic sets and systems · 2016

Abstract. In this paper, we defined (𝓘, 𝓣) − standard neutrosophic rough sets based on an implicator 𝓘 and a tnorm 𝓣 on 𝑫∗ ; 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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