CFP last date
22 April 2024
Call for Paper
May Edition
IJCA solicits high quality original research papers for the upcoming May edition of the journal. The last date of research paper submission is 22 April 2024

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Privacy Preservation: Multi-Attribute Protection with P-Sensitive K-Anonymity

Twinkle Patel Kiran Amin
Random Articles
Reseach Article

Soft Union Ring and its Applications to Ring Theory

by Mesut Tunc¸ay, Aslihan Sezgin
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 151 - Number 9
Year of Publication: 2016
Authors: Mesut Tunc¸ay, Aslihan Sezgin
10.5120/ijca2016911867

Mesut Tunc¸ay, Aslihan Sezgin . Soft Union Ring and its Applications to Ring Theory. International Journal of Computer Applications. 151, 9 ( Oct 2016), 7-13. DOI=10.5120/ijca2016911867

@article{ 10.5120/ijca2016911867,
author = { Mesut Tunc¸ay, Aslihan Sezgin },
title = { Soft Union Ring and its Applications to Ring Theory },
journal = { International Journal of Computer Applications },
issue_date = { Oct 2016 },
volume = { 151 },
number = { 9 },
month = { Oct },
year = { 2016 },
issn = { 0975-8887 },
pages = { 7-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume151/number9/26259-2016911867/ },
doi = { 10.5120/ijca2016911867 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:56:37.665497+05:30
%A Mesut Tunc¸ay
%A Aslihan Sezgin
%T Soft Union Ring and its Applications to Ring Theory
%J International Journal of Computer Applications
%@ 0975-8887
%V 151
%N 9
%P 7-13
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, soft union ring (SU-ring) on a soft set is defined by using union operation of sets. This new concept shows how a soft set effects on a ring structure in the mean of union and inclusion of sets and from this overview, it functions as a bridge among soft set theory, set theory and ring theory. Then, its basic properties are derived and the relationship between soft intersection ring defined in [N. C¸agman and F. C¸itak and H. Aktas¸, Soft intrings and its algebraic applications, Journal of Intelligent and Fuzzy Systems, 28 (3): 1225-1233 (2015)] and SU-ring are investigated. Furthermore, we give the applications of SU-ring to ring theory.

References
  1. U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Comput. Math. Appl. 59 (2010) 3458-3463.
  2. H. Aktas. and N. Cagman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726-2735.
  3. M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009) 1547-1553.
  4. A.O. Atag¨un and A. Sezgin, Soft substructures of rings, fields and modules, Comput. Math. Appl. 61 (3) (2011) 592-601.
  5. K.V. Babitha and J.J. Sunil, Soft set relations and functions, Comput. Math. Appl. 60 (7) (2010) 1840-1849.
  6. N.Cagman and S. Engino?glu, Soft matrix theory and its decision making, Comput. Math. Appl. 59 (2010) 3308-3314.
  7. N.Cagman and S. Engino?glu, Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207 (2010) 848-855.
  8. N. Cagman and F. C¸ itak and H. Aktas¸, Soft int-rings and its algebraic applications, Journal of Intelligent and Fuzzy Systems, 28 (3) (2015) 1225-1233.
  9. N. Cagman, F. C¸ itak and H. Aktas¸, Soft int-groups and its applications to group theory, Neural Comput. Appl., 21 (Issue 1-Supplement) (2012) 151-158.
  10. N. Cagman, A. Sezgin, A.O. Atag¨un, Soft union groups and their applications, (submitted).
  11. N. Cagman, A. Sezgin, A.O. Atag¨un, α-inclusions of a soft set and their applications to group theory, (submitted).
  12. F. Feng, Y. B. Jun and X. Zhao, Soft semirings, Computers and Mathematics with Applications 56 (2008) 2621-2628.
  13. K. Gong, Z. Xiao and X. Zhang, The bijective soft set with its operations, Comput. Math. Appl. 60 (8) (2010) 2270-2278.
  14. Y.B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl. 56 (2008) 1408-1413.
  15. Y.B. Jun and C.H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Inform. Sci. 178 (2008) 2466- 2475.
  16. Y.B. Jun, K.J. Lee and J. Zhan, Soft p-ideals of soft BCIalgebras, Comput. Math. Appl. 58 (2009) 2060-2068.
  17. Y.B. Jun, K.J. Lee, C.H. Park, Soft set theory applied to ideals in d-algebras, Comput. Math. Appl. 57 (3) (2009) 367-378.
  18. Y.B. Jun, K.J. Lee, A. Khan, Soft ordered semigroups, Math. Logic Q. 56 (1) (2010) 42-50.
  19. O. Kazanci, S¸ . Yilmaz and S. Yamak, Soft sets and soft BCHalgebras, Hacet. J. Math. Stat. 39 (2) (2010) 205-217.
  20. P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003) 555-562.
  21. P.K. Maji, A.R. Roy and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl. 44 (2002) 1077-1083.
  22. P. Majumdar and S.K. Samanta, On soft mappings, Comput. Math. Appl. 60 (9) (2010) 2666-2672.
  23. D. Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37 (1999) 19-31.
  24. D.A. Molodtsov, V. Yu. Leonov and D. V. Kovkov, Soft sets technique and its application, Nechetkie Sistemi Myakie Vychisleniya 1 (1) (2006) 8-39.
  25. A. Sezgin and A.O. Atag¨un, On operations of soft sets, Comput. Math. Appl. 61 (5) (2011) 1457-1467.
  26. A. Sezgin, A.O. Atag¨un and E. Ayg¨un, A note on soft rings and idealistic soft rings, Filomat, 25 (2011) 53-68.
  27. A. Sezgin, A new approach to soft union rings, ideals and biideals via soft int-uni product, Knowledge Based-System, 36, 2012, 300-314.
  28. Z. Xiao, K. Gong, S. Xia, Y. Zou, Exclusive disjunctive soft sets, Comput. Math. Appl. 59 (6) (2010) 2128-2137.
  29. J. Zhan, Y.B. Jun, Soft BL-algebras based on fuzzy sets, Comput. Math. Appl. 59 (6) (2010) 2037-2046.
  30. Y. Zou and Z. Xiao, Data analysis approaches of soft sets under incomplete information, Knowledge Based Systems 21 (2008) 941-945.
Index Terms

Computer Science
Information Sciences

Keywords

Soft sets SU-rings sub-SU-rings SU-ideals soft anti-images soft pre-images α-inclusions.

Powered by PhDFocusTM