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

Article:Structures on Fuzzy Ideal and Fuzzy A-Ideal

by A. Solairaju, C. Ragavan
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 32 - Number 9
Year of Publication: 2011
Authors: A. Solairaju, C. Ragavan
10.5120/4566-4150

A. Solairaju, C. Ragavan . Article:Structures on Fuzzy Ideal and Fuzzy A-Ideal. International Journal of Computer Applications. 32, 9 ( October 2011), 45-48. DOI=10.5120/4566-4150

@article{ 10.5120/4566-4150,
author = { A. Solairaju, C. Ragavan },
title = { Article:Structures on Fuzzy Ideal and Fuzzy A-Ideal },
journal = { International Journal of Computer Applications },
issue_date = { October 2011 },
volume = { 32 },
number = { 9 },
month = { October },
year = { 2011 },
issn = { 0975-8887 },
pages = { 45-48 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume32/number9/4566-4150/ },
doi = { 10.5120/4566-4150 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:18:47.746666+05:30
%A A. Solairaju
%A C. Ragavan
%T Article:Structures on Fuzzy Ideal and Fuzzy A-Ideal
%J International Journal of Computer Applications
%@ 0975-8887
%V 32
%N 9
%P 45-48
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In Tavoosi and Kordi [2008], they introduced the notions of T-fuzzy a-ideals in BCI-algebra, and proved few of their properties. In this paper, some algebraic properties on fuzzy ideals and fuzzy a-ideals of BCI-algebra are investigated.

References
  1. M.A. Chaudhary, Weakly positive implicative and weakly implicative BCI-algebra, Math. Japonica, 35 (1990), 141–151.
  2. A. Hasankhani and H. Saadat, Some quotients on a BCK-algebra gen-erated by a fuzzy set, Iranian Journal of Fuzzy Systems, 1 (2) (2004), 33–43.
  3. C.S. Hoo, Closed ideals and p-semisimple BCI-algebras, Math. Japon., 23(1990), 1103–1112.
  4. Y. Huang, On positive and weakly positive implicative BCI-algebras,Southeast Asian Bulletin of Mathematics, 26 (2002), 575–582.
  5. K. Iseki, On BCI-algebras, Math. Seminar Notes, 8 (1980), 125–130.
  6. K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras,Math. Japonica, 23 (1978), 1–26.
  7. Y.B. Jun, A note on nil ideals in BCI-algebras, Math. Japonica, 38 (6) (1993), 1017–1021.
  8. Y.B. Jun, Closed fuzzy ideals in BCI-algebras, Math. Japonica, 38 (1) (1993), 199–202.
  9. Y.B. Jun and J. Meng, Fuzzy p-ideals in BCI-algebras, Math. Japonica,40 (2) (1994), 271–282.
  10. H.M. Khalid and B. Ahmad, Fuzzy H-ideals in BCI-algebras, Fuzzy Setsand Systems, 101 (1999), 153–158.
  11. Y.L. Liu and J. Meng, Fuzzy ideals in BCI-algebras, Fuzzy Sets and Systems, 123 (2001), 227–237.
  12. J. Meng and H.A.S. Abujabal, On closed ideals in BCI-algebras, Math.Japon., 44 (1996), 499–505.
  13. J. Meng and X. Guo, On fuzzy ideals of BCK/BCI-algebras, Fuzzy Sets and Systems, 149 (3) (2005), 509–525.
  14. J. Meng and Y.B. Jun, BCK-algebras, Kyung Moon Sa Co., Seoul, Korea,1994.
  15. J. Meng, On ideals in BCK-algebras, Math. Japon., 40 (1994), 143–154.
  16. X. Ougen, Fuzzy BCK-algebras, Math. Japonica, 36 (5) (1991), 935–942.
  17. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512–517.
  18. Tavoosi.Asl. M, and Kordi. T-fuzzy a-ideals of BCI-algebra, Advances InAl;gebra, Volume 1, No.1 (2008) , 57 - 66.
  19. O.G. Xi, Fuzzy BCK-algebras, Math. Japon, 36 (1991), 935–942.
  20. C.C. Xi, On a class of BCI-algebras, Math. Japon., 35, (1990), 13–17.
  21. L.A. Zadeh, Fuzzy sets, Inform. and Control, 8 (1965), 338–353.
Index Terms

Computer Science
Information Sciences

Keywords

BCI-algebra fuzzy ideal fuzzy a-ideal

Powered by PhDFocusTM