Foldness of Commutative Ideals in BCK-algebras

• Autorzy: Celestin Lele , Salissou Moutari
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

BCK-algebra   fuzzy point   n-fold commutative ideals   n-fold weak commutative ideals  

Kategorie tematyczne

• 06F35: BCK-algebras, BCI-algebras
• 03E72: Fuzzy set theory
• 03B52: Fuzzy logic; logic of vagueness
• 13A15: Ideals; multiplicative ideal theory

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2006
• Tom: 26
• Numer: 1
• Strony: 111-135

Daty

wydano

2006

otrzymano

2005-09

poprawiono

2006-01

Twórcy

autor

Celestin Lele

• University of Dschang, Department of Mathematics, BP 67 Dschang, Cameroon

autor

Salissou Moutari

• Laboratory J. A Dieudonné UMR CNRS N° 6621, University of Nice-Sophia Antipolis, Parc Valrose 06108 Nice Cedex 2, France

Bibliografia

• [1] J. Meng, On ideals in BCK-algebras, Math. Japonica 40 (1994), 143-154.
• [2] J. Meng and X. Guo, On f uzzy ideals in BCK/BCI-algebras, Fuzzy Sets and Systems 149 (2005), 509-525.
• [3] J. Meng, Y.B. Jun and H.S. Kim, Fuzzy implicative ideals of BCK-algebras, Fuzzy Sets and Systems 89 (1997), 243-248.
• [4] Y.B. Jun and E.H. Roh, Fuzzy commutative ideals in BCK-algebras, Fuzzy Sets and Systems 64 (1994), 401-405.
• [5] Y.B. Jun, Characterization of Noetherian in BCK-algebras via fuzzy ideals, Fuzzy Sets and Systems 108 (1999), 231-234.
• [6] Y.B Jun, S.Z. Song and C. Lele, Foldness of quasi-associative ideals in BCI-algebras, Scientiae Mathematicae 6 (2002), 227-231.
• [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.
• [8] Y.B. Jun and C. Lele, Fuzzy point BCK/BCI-algebras, International Journal of Pure and Applied Mathematics 1 (2002), 33-39.
• [9] Y.B. Jun, On n-fold fuzzy implicative/commutative ideals of BCK-algebras, IJMMS, (2001), 419-424.
• [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.
• [11] C. Hoo, Some fuzzy concepts of BCI, BCK and MV-algebras, Int. J. Approx. Reason. 18 (2002), 177-189.
• [12] L.Z. Liu and K.T. Li, Fuzzy filters of BL-algebras, Information Sciences (In press).
• [13] Y. Huang and Z. Chen, On ideals in BCK-algebra, Math. Japonica 50 (1999), 211-226.
• [14] K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebra, Math. Japonica 23 (1978), 935-942.
• [15] O.G. Xi, Fuzzy BCK-algebras, Math. Japonica 36 (1991), 935-942.
• [16] L.A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353.

Identyfikatory

DOI

10.7151/dmgaa.1107