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Journal of university of Anbar for pure science
Article . 2023 . Peer-reviewed
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Bornological Soft Sets

Authors: Anwar Imran; Lieth Majed; Niran Jasim; Sh. Said Husain;

Bornological Soft Sets

Abstract

The concept of bounded set within this set or space is given by many authors. A bornology is defined on soft set to solve the problems of boundedness for the soft set. Also, we construct soft base and soft subbase as a part of fundamental construction for bornological soft sets. Furthermore, It is a natural to study fundamental construction for bornological soft sets, such as soft subspace, product soft bornology and soft bornological isomorphism. Additionally, a family of bornological soft sets can be a partial ordered set by partial ordered relation and we prove that the intersection of bornological soft sets is bornological soft sets but the union of bornological soft sets is not necessary to be bornological soft sets. The left-right translation is soft bornological isomorphism and the product of bornological soft sets are bornological soft sets. Finally, generate soft bornological structure whose elements are soft unbounded sets.

Keywords

Q1-390, Science (General), soft set, bounded set, bounded map, bornological set

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
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.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold