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A Novel Approach in the Light of Fuzzy Multiset Topology

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Abstract

In the present article, we present the notions of fuzzy multiset interior and closure operator and study their basic characterizations and properties. Furthermore, using the fuzzy multiset closure operator we introduce the notion of fuzzy multiset closure space and present its related properties. Finally, the notion of connectedness in the context of fuzzy multiset topology is discussed and some properties are investigated.

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Correspondence to Baby Bhattacharya.

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Significant Statement

Fuzzy multiset topology introduced by J. Moshahary has a lot of scope for investigation. Here, we have studied fuzzy multiset closure and interior operators. In fuzzy relational databases, these two operators play an important role and certainly motivate the research community for further investigation and application in the domain.

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Hoque, M.M., Bhattacharya, B. & Tripathy, B.C. A Novel Approach in the Light of Fuzzy Multiset Topology. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 93, 675–683 (2023). https://doi.org/10.1007/s40010-023-00834-y

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  • DOI: https://doi.org/10.1007/s40010-023-00834-y

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