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On Some Properties of Fuzzy Kernel with Thresholds and Homomorphism

by M.Basheer Ahamed, J.Michael Anna Spinneli
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 30 - Number 7
Year of Publication: 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 },
issue_date = { September 2011 },
volume = { 30 },
number = { 7 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 42-47 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume30/number7/3651-5103/ },
doi = { 10.5120/3651-5103 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:16:25.696375+05:30
%A M.Basheer Ahamed
%A J.Michael Anna Spinneli
%T On Some Properties of Fuzzy Kernel with Thresholds and Homomorphism
%J International Journal of Computer Applications
%@ 0975-8887
%V 30
%N 7
%P 42-47
%D 2011
%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
  1. Zadeh, L. A.,(1965) Fuzzy sets, Information and Control, 8 (1965), pp 338-353
  2. P.Das,(1997) On some properties of fuzzy semiautomaton over a finite group, Information Sciences, 101(1997), pp71-84
  3. Yuan, X, Zhang, C, and Ren, Y,(2003) Generalized fuzzy groups and many valued implications, Fuzzy Sets and Systems, 138(2003), pp 205-211
  4. Bao Qing Hu, (2010) Fuzzy groups and T- fuzzy Groups with Thresholds, Advances in fuzzy mathematics, Vol 5, No1 (2010), pp 17-29
  5. 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)
  6. Rosenfeld, A.,(1971) Fuzzy groups, Journal of Mathematical Analysis and Applications, 35 (1971) pp 512-517.
  7. Bhakat S. K,(2000), (∈, ∈Vq) -fuzzy normal, quasinormal and maximal Subgroups, Fuzzy Sets and Systems, 112(2000), pp 299-312
  8. Anthony J. M. and Sherwood, H., (1982) A characterization of fuzzy groups Fuzzy Sets and System, 7 pp.297-305
  9. Mukherjee, N. P., and Bhattacharya, P., (1984) Fuzzy normal subgroups and fuzzy cosets, Information Sciences, 34, pp.225-239.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy subgroup with thresholds Fuzzy subsemiautomaton with thresholds Fuzzy kernel with thresholds

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