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Characterizations of T - Fuzzy R - Ideals on BCI-Algebras

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International Journal of Computer Applications
© 2011 by IJCA Journal
Number 1 - Article 1
Year of Publication: 2011
Authors:
A. Solairaju
C. Ragavan
10.5120/4567-4151

A Solairaju and C Ragavan. Article:Characterizations of T - Fuzzy R - Ideals on BCI-Algebras. International Journal of Computer Applications 32(9):49-51, October 2011. Full text available. BibTeX

@article{key:article,
	author = {A. Solairaju and C. Ragavan},
	title = {Article:Characterizations of T - Fuzzy R - Ideals on BCI-Algebras},
	journal = {International Journal of Computer Applications},
	year = {2011},
	volume = {32},
	number = {9},
	pages = {49-51},
	month = {October},
	note = {Full text available}
}

Abstract

The fuzzy R-ideals of BCI-algebras are studied, and related properties are investigated.

Reference

  • M.A. Chaudhary, Weakly positive implicative and weakly implicative BCI-algebra, Math. Japonica, 35 (1990), 141–151.
  • A. Hasankhani and H. Saadat, Some quotients on a BCK-algebra generated by a fuzzy set, Iranian Journal of Fuzzy Systems, 1 (2) (2004), 33–43.
  • C.S. Hoo, Closed ideals and p-semisimple BCI-algebras, Math. Japon.,23, (1990), 1103–1112.
  • Y. Huang, On positive and weakly positive implicative BCI-algebras, Southeast Asian Bulletin of Mathematics, 26 (2002), 575–582.
  • K. Iseki, On BCI-algebras, Math. Seminar Notes, 8 (1980), 125–130.
  • K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japonica, 23 (1978), 1–26.
  • Y.B. Jun, A note on nil ideals in BCI-algebras, Math. Japonica, 38 (6) (1993), 1017–1021.
  • Y.B. Jun, Closed fuzzy ideals in BCI-algebras, Math. Japonica, 38 (1) (1993), 199–202.
  • Y.B. Jun and J. Meng, Fuzzy p-ideals in BCI-algebras, Math. Japonica,40 (2) (1994), 271–282.
  • H.M. Khalid and B. Ahmad, Fuzzy H-ideals in BCI-algebras, Fuzzy Sets and Systems, 101 (1999), 153–158.
  • Y.L. Liu and J. Meng, Fuzzy ideals in BCI-algebras, Fuzzy Sets and Systems, 123 (2001), 227–237.
  • J. Meng and H.A.S. Abujabal, On closed ideals in BCI-algebras, Math. Japon., 44 (1996), 499–505.
  • J. Meng and X. Guo, On fuzzy ideals of BCK/BCI-algebras, Fuzzy Sets and Systems, 149 (3) (2005), 509–525.
  • J. Meng and Y.B. Jun, BCK-algebras, Kyung Moon Sa Co., Seoul, Korea,1994.
  • J. Meng, On ideals in BCK-algebras, Math. Japon., 40 (1994), 143–154.
  • X. Ougen, Fuzzy BCK-algebras, Math. Japonica, 36 (5) (1991), 935–942.
  • A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512–517.
  • O.G. Xi, Fuzzy BCK-algebras, Math. Japon, 36 (1991), 935–942.
  • C.C. Xi, On a class of BCI-algebras, Math. Japon., 35, (1990), 13–17.
  • L.A. Zadeh, Fuzzy sets, Inform. and Control, 8 (1965), 338–353.
  • X. Zhang and J. Hao, On p-ideals of a BCI-algebras, Preprint.