More General Forms of Generalized Fuzzy Bi-ideals in Semigroups FULL TEXT

Year 2012, Volume: 41 Issue: 1, 15 - 23, 01.01.2012

Young Bae Jun Mehmet Ali Öztürk Yunqiang Yin

Keywords

-

References

• Bhakat, S. K. (∈, ∈ ∨ q)-fuzzy normal, quasinormal and maximal subgroups, Fuzzy Sets and Systems 112, 299–312, 2000.
• Bhakat, S. K. (∈ ∨ q)-level subset, Fuzzy Sets and Systems 103, 529–533, 1999.
• Bhakat, S. K. and Das, P. (∈, ∈ ∨ q)-fuzzy subgroup, Fuzzy Sets and Systems 80, 359–368, 1996.
• Bhakat, S. K. and Das, P. Fuzzy subrings and ideals redefined, Fuzzy Sets and Systems 81, 383–393, 1996. [5] Bhakat, S. K. and Das, P. On the definition of a fuzzy subgroup, Fuzzy Sets and Systems 51, 235–241, 1992.
• Hong, S. M., Jun, Y. B. and Meng, J. Fuzzy interior ideals in semigroups, Indian J. Pure Appl. Math. 26 (9), 859–863, 1995.
• Jun, Y. B. Generalizations of (∈, ∈ ∨q)-fuzzy subalgebras in BCK/BCI-algebras, Comput. Math. Appl. 58, 1383–1390, 2009.
• Jun, Y. B. Fuzzy subalgebras of type (α, β) in BCK/BCI-algebras, Kyungpook Math. J. 47, 403–410, 2007. [9] Jun, Y. B. On (α, β)-fuzzy subalgebras of BCK/BCI-algebras, Bull. Korean Math. Soc. 42, 703–711, 2005. [10] Jun, Y. B. and Song, S. Z. Generalized fuzzy interior ideals in semigroups, Inform. Sci. 176, 3079–3093, 2006.
• Kazanci, O. and Yamak, S. Generalized fuzzy bi-ideals of semigroups, Soft Comput. 12, 1119–1124, 2008.
• Kuroki, N. Fuzzy semiprime ideals in semigroups, Fuzzy Sets and Systems 8, 71–79, 1982. [13] Kuroki, N. On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems 5, 203–215, 1981. [14] Kuroki, N. Fuzzy bi-ideals in semigroups, Comment. Math. Univ. St. Pauli 28, 17–21, 1979. [15] Mordeson, J. N., Malik, D. S. and Kuroki, N. Fuzzy Semigroups (Studies in Fuzziness and Soft Computing 131, Springer-Verlag, Berline, 2003).
• Pu, P. M. and Liu, Y. M. Fuzzy topology I, Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76, 571–599, 1980.
• Yin, Y. Q., Xu, D. and Li, H. X. The (∈, ∈ ∨ q)-fuzzy subsemigroups and ideals of an (∈, ∈ ∨q)-fuzzy semigroup, Southeast Asian Bull. Math. 33, 391–400, 2009.