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2006 | 26 | 1 | 111-135
Tytuł artykułu

Foldness of Commutative Ideals in BCK-algebras

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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.
Twórcy
  • University of Dschang, Department of Mathematics, BP 67 Dschang, Cameroon
  • 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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1107
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