CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

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