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Neutrosophic Sets and Systems
Article . 2022
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Bipolar neutrosophic soft generalized pre-closed sets and pre-open sets in topological space

Authors: P. Arulpandy; M. Trinita Pricilla;

Bipolar neutrosophic soft generalized pre-closed sets and pre-open sets in topological space

Abstract

Neutrosophy is one of the widely used tool to deal with uncertainty. In recent years, neutrosophic sets were applied in the field of topology. There are numerous types of neutrosophic topological spaces based on different kinds of neutrosophic sets are proposed by research community. Bipolar neutrosophic set and their topological spaces were proposed and analyzed by many researchers. In this paper, the generalization of bipolar neutrosophic soft set and their classifications are proposed. A bipolar neutrosophic soft generalized pre-closed sets and bipolar neutrosophic soft generalized pre-open sets are proposed along with their properties. Then, bipolar neutrosophic soft topology concepts are generalized to the proposed sets. Also, the relation between proposed sets and various conventional sets are discussed through theorems with examples.

Keywords

bngpos, bngs-topology, Electronic computers. Computer science, QA1-939, Bipolar neutrosophic soft set; BNGS-topology; BNGPCS; BNGPOS; Pre-closed set; Pre-open set., pre-open set, QA75.5-76.95, bipolar neutrosophic soft set, pre-closed set, bngpcs, Mathematics

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selected citations
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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