IJPAM: Volume 112, No. 1 (2017)

Title

ON LATTICE ORDERED SOFT GROUPS

Authors

L. Vijayalakshmi$^1$, J. Vimala$^2$
$^{1,2}$Department of Mathematics
Alagappa University
Karaikudi, Tamilnadu, INDIA

Abstract

Molodsov in [15] initiated soft set theory, which can be used as a mathematical tool for dealing uncertainties. In this paper the concept of lattice ordered soft group is introduced and some of its properties and operations have been derived.

History

Received: May 31, 2016
Revised: October 18, 2016
Published: January 26, 2017

AMS Classification, Key Words

AMS Subject Classification: 03G10, 06B05
Key Words and Phrases: soft sets, soft groups, lattice ordered soft sets, lattice ordered soft groups

Download Section

Download paper from here.
You will need Adobe Acrobat reader. For more information and free download of the reader, see the Adobe Acrobat website.

Bibliography

1
H. Aktas and N. Cagman, Soft sets and soft groups, Inform. Sciences, 177 (2007), 2726-2735.

2
Aslihan Sezgin, Akin Osman Atagun, On operations of soft sets, Computers and Mathematics with Applications, 61 (2011), 1457-1467.

3
M.I. Ali, F. Feng, X.Y. Liu, W.K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., (2008), 2621-2628.

4
M. I. Ali, A note on soft sets,rough sets and fuzzy sets, Soft Comput., 11 (2011), 332-3332.

5
M. I. Ali, Tahir Mahmood, M. Muti Ur Rehman, M. Fahim Aslam, On lattice ordered soft sets, Applied Soft Computing, 36 (2015), 499-505.

6
K. V. Babitha, J. J. Sunil, Soft set relations and functions, Comput. Math. Appl., 60 (2010), (1840-1849).

7
Faruk Karaasalan, Cagman. N and Enginoglu. S, Soft lattices, J. New Res. Science (2012), 5-17.

8
Fu Li, Soft lattices, Global Journal, 10, No. 4, (2010), 56-58.

9
Fu Li, Notes on soft operations, APRN Journal, 6 (2011), 2222-9833.

10
Garett Birkhoff, Lattice theory, American Mathematical Society Colloqium Publications, XXV.

11
George Gratzer, Geneneral Lattice Theory, Second Edition, Birkhauser verlac, Boston, 1998.

12
A. M. Ibrahim, A. O. Yusuf, Development of soft set theory, vol. 2. No. 9 (2012).

13
V. D. Jobish, K. V. Babitha, Sunil Jacob John, On soft lattice operations, 5 issue 2, (2013), 71-86.

14
P. K. Maji, R. Biswas, A. R. Roy, soft set theory, Comput. Math. Appl., 45 (2003), 555-562.

15
D. Molodtsov, Soft set theory - First result, Comput. Math. Appl., 37 (1999), 19-31.

16
Muhammad Aslam, Saqib Mazher Qurashi, Some Contributions to soft groups, Annals of Fuzzy Mathematics and Informatics, vol. 4, No. 1 (2012), 177-195.

17
E. K. R. Nagarajan and Ganesamoorthi Meenambigai, An Application of Soft sets to Lattices, Kragujevac. Journal of Mathematics, vol. 35, No. 1 (2011), 75-87.

18
E. K. R. Nagarajan and P. Geetha, Characterization Theorems for Modular and Distributive Soft Lattices, Intnl. Jorl. of Innovative Research in science Eng. and Tech., 2, issue 11 (2013), 2319-8753

19
Natarajan. R and Vimala. J, Distributive l-ideal in a commutative l-group, Acta Ciencia Indica, 33 M. No. 2. 517 (2007)-MR 2392259.

20
Natarajan. R and Vimala. J, Standard $l$-ideal in a commutative $l$-group, Acta Ciencia Indica, 33 M. No. 2. 539 (2007)-MR 2392261.

21
Onyeozili I. A. , Gwary T. M, A Study on the Fundamentals of Soft Set Theory, International Journal of Scientific and Technology Research, 3 issue 4 (2014), 132-143.

22
Pei. D and Miao. D, From soft set to information systems, In:Proceedings, Granular computing, IEEE, Int. Conf., 2 (2005), 617-612.

23
Xia Yin, Zuhua Liao, Study on soft groups, Journal of Comp., 8 (2013).

24
Vimala. J, Neutral Operators and Triple Representation, Int. Jour. of Pure and Applied Mathematics , 91 issue 4 (2014), 477-481.

25
Vimala. J and Bharathi. P, The Role of Fuzzy $l$-ideals in a Commutative $l$- group, Global Journal of Pure and Applied Mathematics, 12 issue 3 (2016), 2067-2074.

26
YingehaoShao, KeyunQin, The Lattice structure of the soft groups, Procedia Engineering, 15 (2011), 3621-3625.

How to Cite?

DOI: 10.12732/ijpam.v112i1.3 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 1
Pages: 47 - 55


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).