Fuzzy soft k−ideals over semiring and fuzzy soft semiring homomorphism

Document Type : Research Paper

Authors

1 Department of Mathematics, Sankethika Engineering College , Visakhapatnam, India

2 Department of Mathematics, GIT, GITAM University, Visakhapatnam- 530 045, Andhra Pradesh, India.

Abstract

In this paper, we introduce the notion of fuzzy soft semirings, fuzzy soft ideals, fuzzy soft k− ideals , k−fuzzy soft ideals over semirings and fuzzy soft semiring homomorphism. We study some of their algebraical properties and properties of homomorphic image of fuzzy soft semiring.

Keywords

References

[1] U. Acar, F. Koyuncu and B. Tanay, Soft sets and Soft rings, Comput. Math.Appli., 59 (2010), 3458–3463.
[2] H. Aktas and N. Cagman, Soft sets and soft groups, Inform. Sci., 177 (2007),2726–2735.
[3] F. Feng, Y. B. Jun and X. Zhao, Soft semirings, Comput. Math. Appli., 56 (2008), 2621–2628.
[4] J. Ghosh, B. Dinda and T. K. Samanta, Fuzzy soft rings and Fuzzy soft ideals, Int.J. P. App.Sc.Tech. 2(2) (2011), 66–74.
[5] M. Henriksen, Ideals in semirings with commutative addition, Amer. Math. Soc. Notices, 6 (1958), 321.
[6] K. Iizuka, On the Jacobson radical of a semiring, Tohoku, Math. J., 11(2) (1959),409–421.
[7] P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, The Journal of Fuzzy Mathematics, 9(3) (2001), 589–602.
[8] D. Molodtsov, Soft set theory-First results, Comput. Math. Appl., 37 (1999),19–37.
[9] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512–517.
[10] H. S. Vandiver, Note on a simple type of algebra in which cancellation law of addition does not hold, Bull. Amer. Math. Soc.(N.S.), 40 (1934), 914–920.
[11] L. A. Zadeh, Fuzzy sets, Inform. control, 8 (1965), 338–353. 
Journal of Hyperstructures
Volume 4, Issue 2
December 2015
Pages 93-116

Files

Share

How to cite

Statistics