Research Article

Soft representation of soft groups

Volume: 4 Number: 2 March 1, 2016
New Trends in Mathematical Sciences Cover
New Trends in Mathematical Sciences
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Soft representation of soft groups

Abstract

In this paper, we introduce the notion of soft representation of a soft group and obtain basic properties of soft representation of soft groups using the definition of soft sets and soft group. Also we study the relationship between soft representation of soft groups and soft G-Modules. Moreover we examine irreducibility, reducibility and complete reducibility of soft representations.

Keywords

References

  1. D. Molodtsov,”Soft set theory—first results.” Computers & Mathematics with Applications 37.4 (1999): 19-31.
  2. P. K. Maji, R. Biswas and A.R. Roy, ”Soft set theory.” Computers & Mathematics with Applications 45.4 (2003): 555-562.
  3. H. Aktas¸ and N. C¸ a˘gman, ”Soft sets and soft groups.” Information Sciences 177.13 (2007): 2726-2735.
  4. J. B. Young “Soft BCK/BCI-algebras.” Computers & Mathematics with Applications 56.5 (2008): 1408-1413.
  5. F. Feng, Y. B. Jun, and X. Zhao. ”Soft semirings.”Computers & Mathematics with Applications 56.10 (2008): 2621-2628.
  6. SUN, Qiu-Mei; ZHANG, Zi-Long; LIU, Jing. Soft sets and soft modules. In: Rough Sets and Knowledge Technology. Springer Berlin Heidelberg, 2008. p.403-409.
  7. U. Acar, F. Koyuncu, and B. Tanay. ”Soft sets and soft rings. ”Computers & Mathematics with Applications,59 (11) (2010):3458-3463.
  8. Aktas¸, Hacı. ”Some algebraic applications of soft sets.” Applied Soft Computing 28 (2015): 327-331.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

March 1, 2016

Submission Date

January 12, 2016

Acceptance Date

January 30, 2016

Published in Issue

Year 2016 Volume: 4 Number: 2

IZ

https://izlik.org/JA24AE68SL

Cite

RIS / Bibtex
APA
Ulucay, V. (2016). Soft representation of soft groups. New Trends in Mathematical Sciences, 4(2), 23-29. https://izlik.org/JA24AE68SL
AMA
1.Ulucay V. Soft representation of soft groups. New Trends in Mathematical Sciences. 2016;4(2):23-29. https://izlik.org/JA24AE68SL
Chicago
Ulucay, Vakkas. 2016. “Soft Representation of Soft Groups”. New Trends in Mathematical Sciences 4 (2): 23-29. https://izlik.org/JA24AE68SL.
EndNote
Ulucay V (March 1, 2016) Soft representation of soft groups. New Trends in Mathematical Sciences 4 2 23–29.
IEEE
[1]V. Ulucay, “Soft representation of soft groups”, New Trends in Mathematical Sciences, vol. 4, no. 2, pp. 23–29, Mar. 2016, [Online]. Available: https://izlik.org/JA24AE68SL
ISNAD
Ulucay, Vakkas. “Soft Representation of Soft Groups”. New Trends in Mathematical Sciences 4/2 (March 1, 2016): 23-29. https://izlik.org/JA24AE68SL.
JAMA
1.Ulucay V. Soft representation of soft groups. New Trends in Mathematical Sciences. 2016;4:23–29.
MLA
Ulucay, Vakkas. “Soft Representation of Soft Groups”. New Trends in Mathematical Sciences, vol. 4, no. 2, Mar. 2016, pp. 23-29, https://izlik.org/JA24AE68SL.
Vancouver
1.Vakkas Ulucay. Soft representation of soft groups. New Trends in Mathematical Sciences [Internet]. 2016 Mar. 1;4(2):23-9. Available from: https://izlik.org/JA24AE68SL