Research Article
On Some Properties of Fuzzy Kernel with Thresholds and Homomorphism
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 30 - Issue 7 |
| Published: September 2011 |
| Authors: M.Basheer Ahamed, J.Michael Anna Spinneli |
10.5120/3651-5103
|
M.Basheer Ahamed, J.Michael Anna Spinneli . On Some Properties of Fuzzy Kernel with Thresholds and Homomorphism. International Journal of Computer Applications. 30, 7 (September 2011), 42-47. DOI=10.5120/3651-5103
@article{ 10.5120/3651-5103,
author = { M.Basheer Ahamed,J.Michael Anna Spinneli },
title = { On Some Properties of Fuzzy Kernel with Thresholds and Homomorphism },
journal = { International Journal of Computer Applications },
year = { 2011 },
volume = { 30 },
number = { 7 },
pages = { 42-47 },
doi = { 10.5120/3651-5103 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2011
%A M.Basheer Ahamed
%A J.Michael Anna Spinneli
%T On Some Properties of Fuzzy Kernel with Thresholds and Homomorphism%T
%J International Journal of Computer Applications
%V 30
%N 7
%P 42-47
%R 10.5120/3651-5103
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Wee introduced the concept of fuzzy automata following Zadeh in 1967. Yuan.et.al gave the definition of a fuzzy subgroup with thresholds which is a generalization of Rosenfeld’s fuzzy subgroup and Bhakat and Das’s fuzzy subgroup. Das introduced fuzzy kernel and fuzzy subsemiautomaton of a fuzzy semiautomaton. In this paper we have proved some results of fuzzy kernel with thresholds and also it’s transformation under strong homomorphism.
References
- Zadeh, L. A.,(1965) Fuzzy sets, Information and Control, 8 (1965), pp 338-353
- P.Das,(1997) On some properties of fuzzy semiautomaton over a finite group, Information Sciences, 101(1997), pp71-84
- Yuan, X, Zhang, C, and Ren, Y,(2003) Generalized fuzzy groups and many valued implications, Fuzzy Sets and Systems, 138(2003), pp 205-211
- Bao Qing Hu, (2010) Fuzzy groups and T- fuzzy Groups with Thresholds, Advances in fuzzy mathematics, Vol 5, No1 (2010), pp 17-29
- Basheer Ahamed, M., Michael Anna Spinneli, J. (2011) Fuzzy kernel and fuzzy subsemiautomata with thresholds, International Journal of Computer Science Issues (Accepted for September 2011 issue)
- Rosenfeld, A.,(1971) Fuzzy groups, Journal of Mathematical Analysis and Applications, 35 (1971) pp 512-517.
- Bhakat S. K,(2000), (∈, ∈Vq) -fuzzy normal, quasinormal and maximal Subgroups, Fuzzy Sets and Systems, 112(2000), pp 299-312
- Anthony J. M. and Sherwood, H., (1982) A characterization of fuzzy groups Fuzzy Sets and System, 7 pp.297-305
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