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Neutrosophic pre-I-open set in neutrosophic ideal bitopological space

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Abstract

In this article, we introduce the notion of neutrosophic ideal bitopological space (NIBTS) by generalizing the idea of neutrosophic ideal topological space (NITS). Besides, we procure the notion of local function on neutrosophic bitopological space (NBTS) and studied its different properties. Further, we procure the concept of neutrosophic pre-I-open set (NPIOS), neutrosophic semi-I-open set (NSIOS), neutrosophic b-I-open set (N-b-IOS), neutrosophic α-I-open set (N-α-IOS) via NIBTSs. By defining NPIOS, NSIOS, N-b-IOS, N-α-IOS, we establish several interesting results on NIBTS in the form of theorem, proposition, lemma, etc.

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The research work of this article is not supported by any funding agency.

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  1. Department of Mathematics, Tripura University, Agartala, Tripura, 799022, India

    Suman Das, Rakhal Das & Binod Chandra Tripathy

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  1. Suman Das
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  2. Rakhal Das
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  3. Binod Chandra Tripathy
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All the authors have equal contribution for the preparation of this article.

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Correspondence to Rakhal Das.

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Das, S., Das, R. & Tripathy, B.C. Neutrosophic pre-I-open set in neutrosophic ideal bitopological space. Soft Comput 26, 5457–5464 (2022). https://doi.org/10.1007/s00500-022-06994-0

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