{tag}
{/tag}
![Download Full Text]( "Download Full Text")
International Journal of Computer Applications
© 2011 by IJCA Journal
Number 7 - Article 7
Year of Publication: 2011
|
10.5120/3651-5103 |
{bibtex}pxc3875103.bib{/bibtex}
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.
Reference
- 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
- Mukherjee, N. P., and Bhattacharya, P., (1984) Fuzzy normal subgroups and fuzzy cosets, Information Sciences, 34, pp.225-239.