Research Article
Construction of Q-Fuzzy Left H-Ideals Interms of HEMI Rings
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 107 - Issue 9 |
| Published: December 2014 |
| Authors: A. Solairaju, G. Balasubramanian, K. Tamilselvi |
10.5120/18777-0094
|
A. Solairaju, G. Balasubramanian, K. Tamilselvi . Construction of Q-Fuzzy Left H-Ideals Interms of HEMI Rings. International Journal of Computer Applications. 107, 9 (December 2014), 8-11. DOI=10.5120/18777-0094
@article{ 10.5120/18777-0094,
author = { A. Solairaju,G. Balasubramanian,K. Tamilselvi },
title = { Construction of Q-Fuzzy Left H-Ideals Interms of HEMI Rings },
journal = { International Journal of Computer Applications },
year = { 2014 },
volume = { 107 },
number = { 9 },
pages = { 8-11 },
doi = { 10.5120/18777-0094 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2014
%A A. Solairaju
%A G. Balasubramanian
%A K. Tamilselvi
%T Construction of Q-Fuzzy Left H-Ideals Interms of HEMI Rings%T
%J International Journal of Computer Applications
%V 107
%N 9
%P 8-11
%R 10.5120/18777-0094
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper, the Biswas's idea of Q–fuzzy subgroups to left h-ideals of hemi rings is applied. We introduce the notion of Q–fuzzy subgroups to left h-ideals in hemi rings and investigate some of related properties. Relationship between Q–fuzzy left h–ideals, and Q–fuzzy left h–ideals of hemi ring are also given.
References
- R. Biswas, Fuzzy subgroups and anti fuzzy subgroups, Fuzzy sets and systems, 44 (1990), 121- 124
- . M. Henriksen, Ideals in Semi rings with commutative addition, Am. Math. Soc. Notices, Volume 6, (1958), 03-21
- K. Izuka, On the Jacobson radical of a semi ring, Tohoku, Math. J. , Volume 11(2), (1959), 409-421.
- Y. B. Jun, M. A. Ozturk and S. Z. Song, On fuzzy h- ideals in hemi rings, info. Scien. 162(2004), 211-226.
- R. LaTorre, On h-ideals and k-ideals in hemi rings, Publ. Math. Debrecen, Vol. 12 (1965), 219-226.
- A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512 - 517.
- A. Solairaju and R. Nagarajan, Q- fuzzy left R-subgroups of near rings with respect to T-norms, Antarctica Journal of mathematics, 5 (2), (2008), 59-63.
- A. Solairaju and R. Nagarajan, A New Structure and Constructions of Q- Fuzzy groups, Advances in Fuzzy mathematics, 4(1), (2009), 23-29.
- A. Solairaju and R. Nagarajan, Lattice valued Q- fuzzy sub modules of near rings with respect to T-norms, Advances in Fuzzy mathematics, 4(2), (2009),137-145.
- A. Solairaju and R. Nagarajan, Q- fuzzy subgroups of Beta fuzzy congruence relations on a group, International Journal of Computer Science, Network and Security(IJCSNS),2010.
- A. Solairaju and R. Nagarajan, characterization of interval valued anti fuzzy left h- ideals over hemi rings , Advances in Fuzzy Mathematics, Volume 4(2), (2009) , 129-136.
- L. A. Zadeh, Fuzzy sets, Information control, Volume 8, (1965), 338-353.
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