Foldness of Commutative Ideals in BCK-algebras

Celestin Lele; Salissou Moutari

Discussiones Mathematicae - General Algebra and Applications (2006)

  • Volume: 26, Issue: 1, page 111-135
  • ISSN: 1509-9415

Abstract

top
This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.

How to cite

top

Celestin Lele, and Salissou Moutari. "Foldness of Commutative Ideals in BCK-algebras." Discussiones Mathematicae - General Algebra and Applications 26.1 (2006): 111-135. <http://eudml.org/doc/276931>.

@article{CelestinLele2006,
abstract = {This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.},
author = {Celestin Lele, Salissou Moutari},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {BCK-algebra; fuzzy point; n-fold commutative ideals; n-fold weak commutative ideals; -fold commutative ideals; fuzzification},
language = {eng},
number = {1},
pages = {111-135},
title = {Foldness of Commutative Ideals in BCK-algebras},
url = {http://eudml.org/doc/276931},
volume = {26},
year = {2006},
}

TY - JOUR
AU - Celestin Lele
AU - Salissou Moutari
TI - Foldness of Commutative Ideals in BCK-algebras
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2006
VL - 26
IS - 1
SP - 111
EP - 135
AB - This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.
LA - eng
KW - BCK-algebra; fuzzy point; n-fold commutative ideals; n-fold weak commutative ideals; -fold commutative ideals; fuzzification
UR - http://eudml.org/doc/276931
ER -

References

top
  1. [1] J. Meng, On ideals in BCK-algebras, Math. Japonica 40 (1994), 143-154. Zbl0807.06012
  2. [2] J. Meng and X. Guo, On f uzzy ideals in BCK/BCI-algebras, Fuzzy Sets and Systems 149 (2005), 509-525. Zbl1070.06010
  3. [3] J. Meng, Y.B. Jun and H.S. Kim, Fuzzy implicative ideals of BCK-algebras, Fuzzy Sets and Systems 89 (1997), 243-248. Zbl0914.06009
  4. [4] Y.B. Jun and E.H. Roh, Fuzzy commutative ideals in BCK-algebras, Fuzzy Sets and Systems 64 (1994), 401-405. Zbl0846.06011
  5. [5] Y.B. Jun, Characterization of Noetherian in BCK-algebras via fuzzy ideals, Fuzzy Sets and Systems 108 (1999), 231-234. Zbl0940.06014
  6. [6] Y.B Jun, S.Z. Song and C. Lele, Foldness of quasi-associative ideals in BCI-algebras, Scientiae Mathematicae 6 (2002), 227-231. Zbl1018.06015
  7. [7] Y.B Jun and K.H. Kim, Fuzzifications of foldness of quasi-associative ideals in BCI-algebras, J. Appl. Math. Computing 11 (2003), 255-263. Zbl1027.06502
  8. [8] Y.B. Jun and C. Lele, Fuzzy point BCK/BCI-algebras, International Journal of Pure and Applied Mathematics 1 (2002), 33-39. 
  9. [9] Y.B. Jun, On n-fold fuzzy implicative/commutative ideals of BCK-algebras, IJMMS, (2001), 419-424. Zbl0993.06017
  10. [10] C. Lele, C. Wu, P. Weke, T. Mamadou and G.E. Njock, Fuzzy ideals and weak ideals in BCK-algebras, Scientiae Mathematicae Japonicae 54 (2001), 323-336. Zbl0991.06013
  11. [11] C. Hoo, Some fuzzy concepts of BCI, BCK and MV-algebras, Int. J. Approx. Reason. 18 (2002), 177-189. Zbl0935.06018
  12. [12] L.Z. Liu and K.T. Li, Fuzzy filters of BL-algebras, Information Sciences (In press). Zbl1075.03036
  13. [13] Y. Huang and Z. Chen, On ideals in BCK-algebra, Math. Japonica 50 (1999), 211-226. Zbl0938.06018
  14. [14] K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebra, Math. Japonica 23 (1978), 935-942. 
  15. [15] O.G. Xi, Fuzzy BCK-algebras, Math. Japonica 36 (1991), 935-942. Zbl0744.06010
  16. [16] L.A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353. Zbl0139.24606

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.