Categorical Properties of Soft Sets
Joint Authors
Li, Shenggang
Zhou, Min
Akram, Muhammad
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The present study investigates some novel categorical properties of soft sets.
By combining categorical theory with soft set theory, a categorical framework of soft set theory is established.
It is proved that the category SFun of soft sets and soft functions has equalizers, finite products, pullbacks, and exponential properties.
It is worth mentioning that we find that SFun is both a topological construct and Cartesian closed.
The category SRel of soft sets and Z -soft set relations is also characterized, which shows the existence of the zero objects, biproducts, additive identities, injective objects, projective objects, injective hulls, and projective covers.
Finally, by constructing proper adjoint situations, some intrinsic connections between SFun and SRel are established.
American Psychological Association (APA)
Zhou, Min& Li, Shenggang& Akram, Muhammad. 2014. Categorical Properties of Soft Sets. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051010
Modern Language Association (MLA)
Zhou, Min…[et al.]. Categorical Properties of Soft Sets. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1051010
American Medical Association (AMA)
Zhou, Min& Li, Shenggang& Akram, Muhammad. Categorical Properties of Soft Sets. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051010
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051010