Imran, A., Majed, L., Jasim, N., Said Husain, S. (2023). Bornological Soft Sets. Alustath, 17(1), 204-211. doi: 10.37652/juaps.2023.179056
Anwar N. Imran; Lieth A. Majed; Niran Sabah Jasim; Sh. K. Said Husain. "Bornological Soft Sets". Alustath, 17, 1, 2023, 204-211. doi: 10.37652/juaps.2023.179056
Imran, A., Majed, L., Jasim, N., Said Husain, S. (2023). 'Bornological Soft Sets', Alustath, 17(1), pp. 204-211. doi: 10.37652/juaps.2023.179056
Imran, A., Majed, L., Jasim, N., Said Husain, S. Bornological Soft Sets. Alustath, 2023; 17(1): 204-211. doi: 10.37652/juaps.2023.179056

Bornological Soft Sets

Journal of University of Anbar for Pure Science
Volume 17, Issue 1, June 2023, Pages 204-211    PDF (700.44 K)
Document Type: Research Paper
DOI: 10.37652/juaps.2023.179056
Authors
Anwar N. Imran1; Lieth A. Majed1; Niran Sabah Jasim* 2; Sh. K. Said Husain* 3
1Department of Mathematic, College of Science, University of Diyala, Diyala, Iraq
2Department of Mathematics, College of Education for Pure Science/ Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq
3Department of Mathematic, Faculty of Science and Institute for Mathematical Research(INSPEM), University Putra Malaysia. Malaysia;
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
Soft set; Bounded set; Bornological set; Bounded map
Supplementary Files
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