Zero invariant and idempotent fuzzy BCC-subalgebras

Wiesław Aleksander Dudek; Young Bae Jun

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 2, page 145-156
  • ISSN: 0232-0525

How to cite

top

Dudek, Wiesław Aleksander, and Jun, Young Bae. "Zero invariant and idempotent fuzzy BCC-subalgebras." Mathematica Slovaca 52.2 (2002): 145-156. <http://eudml.org/doc/34551>.

@article{Dudek2002,
author = {Dudek, Wiesław Aleksander, Jun, Young Bae},
journal = {Mathematica Slovaca},
keywords = {zero invariant; idempotent fuzzy BCC-subalgebras; direct product; s-norm},
language = {eng},
number = {2},
pages = {145-156},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Zero invariant and idempotent fuzzy BCC-subalgebras},
url = {http://eudml.org/doc/34551},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Dudek, Wiesław Aleksander
AU - Jun, Young Bae
TI - Zero invariant and idempotent fuzzy BCC-subalgebras
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 2
SP - 145
EP - 156
LA - eng
KW - zero invariant; idempotent fuzzy BCC-subalgebras; direct product; s-norm
UR - http://eudml.org/doc/34551
ER -

References

top
  1. ABU OSMAN M. T., On some product of fuzzy subgroups, Fuzzy Sets and Systems 24 (1987), 79-86. (1987) Zbl0638.20020MR0909603
  2. DUDEK W. A., The number of subalgebras of finite BCC-algebras, Bull. Inst. Math. Acad. Sinica 20 (1992), 129-136. (1992) Zbl0770.06009MR1184464
  3. DUDEK W. A., On proper BCC-algebras, Bull. Inst. Math. Acad. Sinica 20 (1992), 137-150. (1992) Zbl0770.06010MR1184465
  4. DUDEK W. A., JUN Y. B., Fuzzy BCC-ideals in BCC-algebras, Math. Montisnigri 10 (1999), 21-30. (1999) Zbl0968.06017MR1723440
  5. DUDEK W. A., JUN Y. B., Normalizations of fuzzy BCC-ideals in BCC-algebras, Math. Moravica 3 (1999), 17-24. (1999) Zbl0968.06017MR1723440
  6. DUDEK W. A., JUN Y. B., Fuzzifications of ideals in BCC-algebras, Glas. Mat. Ser, III 36(56) (2001) (To appear). Zbl0986.06016MR1842830
  7. DUDEK W. A., JUN Y. B., HONG S. M., On fuzzy topological BCC-algebras, Discuss. Math. (General Algebra and Applications) 20 (2000), 77-86. Zbl0973.06016MR1782087
  8. DUDEK W. A., JUN Y. B., STOJAKOVIC Z., On fuzzy ideals in BCC-algebras, Fuzzy Sets and Systems 123 (2001) (To appear). Zbl1018.06016MR1849410
  9. DUDEK W. A., KIM K. H., JUN Y. B., Fuzzy BCC-subalgebras of BCC-algebras with respect to a t-norm, Scientiae Math. 3 (2000), 99-106. Zbl0960.06011MR1758837
  10. DUDEK W. A., ZHANG X. H., On ideals and congruences in BCC-algebras, Czechoslovak Math. J. 48 (123) (1998), 21-29. (1998) Zbl0927.06013MR1614060
  11. HONG S. M., JUN Y. B., Fuzzy and level subalgebras of BCK(BCI)-algebras, Pusan Kyongnam Math. J. (presently, East Asian Math. J.) 7 (1991), 185-190. (1991) 
  12. JUN Y. B., HONG S. M., KIM S. T., SONG S. Z., Fuzzy ideals and fuzzy subalgebras of BCK-algebras, J. Fuzzy Math. 7 (1999), 411-418. (1999) Zbl0943.06010MR1697751
  13. JUN Y. B., HONG S. M., ROH E. H., Fuzzy characteristic subalgebras/ideals of a BCK-algebras, Pusan Kyongnam Math. J. (presently, East Asian Math. J.) 9 (1993), 127-132. (1993) 
  14. JUN Y. B., ZHANG Q., Fuzzy subalgebras of BCK-algebras with respect to a t-norm, Far East J. Math. Sci. 2 (2000), 489-495. Zbl0968.06013MR1759107
  15. KOMORI Y., The class of BCC-algebras is not a variety, Math. Japon. 29 (1984), 391-394. (1984) Zbl0553.03046MR0752236
  16. MENG J., JUN Y. B., BCK-Algebras, Kyung Moon SA Co., Seoul, 1994. (1994) Zbl0906.06015MR1297121
  17. WRONSKI A., BCK-algebras do not form a variety, Math. Japon. 28 (1983), 211-213. (1983) MR0699585
  18. XI O. G., Fuzzy BCK-algebras, Math. Japon. 36 (1991), 935-942. (1991) 
  19. YU Y., MORDESON J. N., CHENG S. C, Elements of L-algebra, In: Lecture Notes in Fuzzy Math, and Comput. Sci., Creighton Univ., Omaha, Nebraska, 1994. (1994) 
  20. ZADEH L. A., Fuzzy sets, Inform. and Control (Shenyang) 8 (1965), 338-353. (1965) 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.