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Classification of TM-Algebra

Published on None 2010 by Dr.A.Tamilarasi, K.Megalai
journal_cover_thumbnail

Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications
Foundation of Computer Science USA
CASCT - Number 1
None 2010
Authors: Dr.A.Tamilarasi, K.Megalai
4f59a31f-b7cd-47d6-9c18-f52c35e0a6df

Dr.A.Tamilarasi, K.Megalai . Classification of TM-Algebra. Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications. CASCT, 1 (None 2010), 11-16.

@article{
author = { Dr.A.Tamilarasi, K.Megalai },
title = { Classification of TM-Algebra },
journal = { Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications },
issue_date = { None 2010 },
volume = { CASCT },
number = { 1 },
month = { None },
year = { 2010 },
issn = 0975-8887,
pages = { 11-16 },
numpages = 6,
url = { /specialissues/casct/number1/997-30/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Special Issue Article
%1 Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications
%A Dr.A.Tamilarasi
%A K.Megalai
%T Classification of TM-Algebra
%J Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications
%@ 0975-8887
%V CASCT
%N 1
%P 11-16
%D 2010
%I International Journal of Computer Applications
Abstract

In this paper, the notion of TM-algebra is introduced which is a generalization of Q/BCI/BCH-algebras. The concepts of positive implicative, implicative, 1-weakly positive implicative, 2-weakly positive implicative, right translation, left translation, weak right translation, weak left translation and the related properties are duly characterized.

References
  1. M.A.Chaudhry. Weakly positive implicative and weakly implicative BCI-algebra, Math.Japon. 35(1990) ,no.1.141-151. MR 90k:06019. Zbl 702.06014.
  2. M.A.Chaudhry and Hafiz Fakhar-Ud-Din. On Some classes of BCH- algebras, IJMMS 25:3 (2001) , PII S0161171201003957.
  3. Q.P. Hu and X. Li. On BCH-algebras, Math. Sem. Notes Kobe Univ. 2 (1983), 313-320.
  4. Q.P. Hu and X. Li, On proper BCH-algebras, Math. Japon. 30 (1985), 659- 661.
  5. Y.Imai and K.Isaeki. On axiom systems of propositional calculi, XIV, Proc.Japan Acad.42 (1996), 19-22. MR 33# 3902 .Zbl 156.24812
  6. K.Iseki and S.Tanaka, An introduction to the theory of BCK-algebras, Math.Japon.23 ( 1978/79 ), no.1, 1-26 MR 80a:03081.zbi 385.0305.
  7. K. Iseki, On BCI –algebras, Math. Sem. Notes Kobe Univ. 8 (1980), 25- 130.
  8. J. Neggers, S. S. Ahn and H. S. Kim, On Q-algebras, IJMMS 27 (2001), 749-757.
  9. Tao Sun, Dahai Hu and Xiquan Liang, Several classes of BCK-algebras and their properties, Formalized Mathematics 2007, vol.15.
Index Terms

Computer Science
Information Sciences

Keywords

TM-Algebra implicatives weakly and positive implicatives right and left translation