On fuzzy topological subalgebras of BCC-algebras

Wiesław A. Dudek; Young Bae; Sung Min Hong

Discussiones Mathematicae - General Algebra and Applications (2000)

  • Volume: 20, Issue: 1, page 77-86
  • ISSN: 1509-9415

Abstract

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We describe properties of subalgebras and BCC-ideals in BCC-algebras with a topology induced by a family of fuzzy sets.

How to cite

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Wiesław A. Dudek, Young Bae, and Sung Min Hong. "On fuzzy topological subalgebras of BCC-algebras." Discussiones Mathematicae - General Algebra and Applications 20.1 (2000): 77-86. <http://eudml.org/doc/287695>.

@article{WiesławA2000,
abstract = {We describe properties of subalgebras and BCC-ideals in BCC-algebras with a topology induced by a family of fuzzy sets.},
author = {Wiesław A. Dudek, Young Bae, Sung Min Hong},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {BCC-algebra; fuzzy subalgebra; fuzzy topological subalgebra},
language = {eng},
number = {1},
pages = {77-86},
title = {On fuzzy topological subalgebras of BCC-algebras},
url = {http://eudml.org/doc/287695},
volume = {20},
year = {2000},
}

TY - JOUR
AU - Wiesław A. Dudek
AU - Young Bae
AU - Sung Min Hong
TI - On fuzzy topological subalgebras of BCC-algebras
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2000
VL - 20
IS - 1
SP - 77
EP - 86
AB - We describe properties of subalgebras and BCC-ideals in BCC-algebras with a topology induced by a family of fuzzy sets.
LA - eng
KW - BCC-algebra; fuzzy subalgebra; fuzzy topological subalgebra
UR - http://eudml.org/doc/287695
ER -

References

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  1. [1] W.A. Dudek, The number of subalgebras of finite BCC-algebras, Bull. Inst. Math. Acad. Sinica 20 (1992), 129-136. Zbl0770.06009
  2. [2] W.A. Dudek, On proper BCC-algebras, Bull. Inst. Math. Acad. Sinica 20 (1992), 137-150. Zbl0770.06010
  3. [3] W.A. Dudek and Y.B. Jun, Fuzzy BCC-ideals in BCC-algebras, Math. Montisnigri 10 (1999), 21-30. Zbl0951.06019
  4. [4] W.A. Dudek and X.H. Zhang, On ideals and congruences in BCC-algebras, Czechoslovak Math. J. 48 (123) (1998), 21- 29. Zbl0927.06013
  5. [5] D.H. Foster, Fuzzy topological groups, J. Math. Anal. Appl. 67 (1979), 549-564. Zbl0409.22001
  6. [6] Y. Imai and K. Iséki, On axiom system of propositional calculi XIV, Proc. Japan Acad. 42 (1966), 19-22. Zbl0156.24812
  7. [7] K. Iséki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japon. 23 (1978), 1-26. Zbl0385.03051
  8. [8] Y. Komori, The class of BCC-algebras is not a variety, Math. Japon. 29 (1984), 391-394. Zbl0553.03046
  9. [9] J. Meng and Y. B. Jun, BCK-algebras, Kyungmoonsa, Seoul, Korea 1994. 
  10. [10] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517. Zbl0194.05501
  11. [11] A. Wroński, BCK-algebras do not form a variety, Math. Japon. 28 (1983), 211-213. Zbl0518.06014
  12. [12] L.A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353. Zbl0139.24606

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