On fuzzy topological subalgebras of BCC-algebras

• Autorzy: Wiesław A. Dudek , Young Bae , Sung Min Hong
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

BCC-algebra; fuzzy subalgebra; fuzzy topological subalgebra

Kategorie tematyczne

• 94D05: Fuzzy sets and logic (in connection with questions of Section 94)
• 06F35: BCK-algebras, BCI-algebras
• 03G25: Other algebras related to logic

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2000
• Tom: 20
• Numer: 1
• Strony: 77-86

Daty

wydano

2000

otrzymano

1998-09-03

poprawiono

1999-03-26

Twórcy

autor

Wiesław A. Dudek

• Institute of Mathematics Technical University, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Young Bae

• Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea

autor

Sung Min Hong

• Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea

Bibliografia

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

Identyfikatory

DOI

10.7151/dmgaa.1007