Research Article
Anti-fuzzy KUS-ideals of KUS-algebras
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 70 - Issue 9 |
| Published: May 2013 |
| Authors: Samy M. Mostafa, Areej T. Hameed |
10.5120/11991-7869
|
Samy M. Mostafa, Areej T. Hameed . Anti-fuzzy KUS-ideals of KUS-algebras. International Journal of Computer Applications. 70, 9 (May 2013), 24-28. DOI=10.5120/11991-7869
@article{ 10.5120/11991-7869,
author = { Samy M. Mostafa,Areej T. Hameed },
title = { Anti-fuzzy KUS-ideals of KUS-algebras },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 70 },
number = { 9 },
pages = { 24-28 },
doi = { 10.5120/11991-7869 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Samy M. Mostafa
%A Areej T. Hameed
%T Anti-fuzzy KUS-ideals of KUS-algebras%T
%J International Journal of Computer Applications
%V 70
%N 9
%P 24-28
%R 10.5120/11991-7869
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper , we introduce the notion of anti-fuzzy KUS-ideals in KUS-algebra, several appropriate examples are provided and their some properties are investigated . The image and the inverse image of anti-fuzzy KUS-ideals in KUS-algebra are defined and how the image and the inverse image of anti-fuzzy KUS-ideals in KUS-algebra become anti-fuzzy KUS-ideals are studied . Moreover , the cartesian product of anti-fuzzy KUS-ideals are given .
References
- Bhattacharye P. and Mukheriee N. P. , Fuzzy relations and fuzzy group, Inform Sci. ,vol. 36 (1985), 267-282 .
- Is´eki K. and Yanaka S. , An introduction to theory of BCK-algebras, Math. Japonica , vol. 23 (1979), 1-20.
- Jun Y. B. , Hong S. M. and Roh E. H. , Fuzzy characteristic sub-algebras /ideals of a BCK-algebra, Pusan Kyongnam Math. J. (presently East Asian Math. J. ), vol. 9 , no. 1 (1993), 127-132.
- Kumbhojkar H. V. and Bapat M. S. , Not-so-fuzzy fuzzy ideals, fuzzy sets and systems, vol. 37 (1991), 237-243 .
- Meng J. and Jun Y. B. , BCK-algebras, Kyung Moon Sa Co. , Korea, 1994.
- Mostafa S. M. , Abd-Elnaby M. A. , Abdel-Halim F. and Hameed A. T. , Fuzzy KUS-Ideals of KUS-Algebras, Submitted.
- Palaniappan N. and Arjunan K. , The homomorphism ,anti homomorphism of a fuzzy and an anti fuzzy ideals , Varahmihir Journal of Math. Sciences, vol. 6, no. 1 (2006), 181-188.
- Prabpayak C. and Leerawat U. , On isomorphisms of KU-algebras, Scientia Magna J. , vol. 5 , no. 3 (2009), 25-31.
- Prabpayak C. and Leerawat U. , On ideals and congurences in KU-algebras, Scientia Magna J. , vol. 5 , no. 1 (2009), 54-57.
- Zadeh L. A. , Fuzzy sets, Inform. Control,vol. 8 (1965), 338-353.
Index Terms
Keywords