Single-Valued Neutrosophic Ideal Approximation Spaces
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Published:2024-02-05
Issue:
Volume:22
Page:26
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ISSN:2291-8639
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Container-title:International Journal of Analysis and Applications
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language:
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Short-container-title:Int. J. Anal. Appl.
Author:
Saber Yaser,Abusalih Mohamed,Bader Esam,Elmasry Tawfik,Babiker Abdelaziz,Smarandache Florentin
Abstract
In this paper, we defined the basic idea of the single-valued neutrosophic upper (αn)δ, single-valued neutrosophic lower (αn)δ and single-valued neutrosophic boundary sets (αn)B of a rough single-valued neutrosophic set αn in a single-valued neutrosophic approximation space (F˜, δ). Based on αn and δ, we introduced the single-valued neutrosophic ideal approximation interior operator intδαn and the single-valued neutrosophic ideal approximation closure operator Clδαn. We joined the single-valued neutrosophic ideal notion with the single-valued neutrosophic approximation spaces and then introduced the single-valued neutrosophic ideal approximation closure and interior operators associated with a rough single-valued neutrosophic set αn. single-valued neutrosophic ideal approximation connectedness and the single-valued neutrosophic ideal approximation continuity between single-valued neutrosophic ideal approximation spaces are introduced. The concepts of single-valued neutrosophic groups and their approximations have also been applied in the development of fuzzy systems, enhancing their ability to model and reason using uncertain and imprecise information.
Publisher
SCIK Publishing Corporation