Acknowledgement
Supported by : National Research Foundation of Korea (NRF)
References
-
Y. B. Jun and L. Liu, Filters of
$R_{0}$ -algebras, Int. J. Math. Math. Sci. 2006 (2006), Article ID 93249, 9 pages. -
Y. B. Jun, S. Z. Song, and J. Zhan, Generalizations of
$({\in},{\in}Vq)$ -fuzzy filters in$R_{0}$ - algebras, Int. J. Math. Math. Sci. (submitted). -
L. Liu and K. Li, Fuzzy implicative and Boolean filters of
$R_{0}$ -algebras, Inform. Sci. 171 (2005), no. 1-3, 61-71. https://doi.org/10.1016/j.ins.2004.03.017 -
X. Ma, J. Zhan, and Y. B. Jun, On
$({\in},{\in}Vq)$ -fuzzy filters of$R_{0}$ -algebras, MLQ Math. Log. Q. 55 (2009), no. 5, 493-508. https://doi.org/10.1002/malq.200810022 -
D. W. Pei and G. J. Wang, The completeness and applications of the formal system
$\mathcal{L}^{\ast}$ , Sci. China Ser. F 45 (2002), no. 1, 40-50. https://doi.org/10.1360/02yc9005 - P. M. Pu and Y. M. Liu, Fuzzy topology I, Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76 (1980), no. 2, 571-599. https://doi.org/10.1016/0022-247X(80)90048-7
- G. J. Wang, Non-Classical Mathematical Logic and Approximate Reasoning, Science Press, Beijing, 2000.
- G. J. Wang, On the logic foundation of fuzzy reasoning, Inform. Sci. 117 (1999), no. 1-2, 47-88. https://doi.org/10.1016/S0020-0255(98)10103-2
- M. S. Ying, A new approach for fuzzy topology. I, Fuzzy Sets and Systems 39 (1991), no. 3, 303-321. https://doi.org/10.1016/0165-0114(91)90100-5
- M. S. Ying, On standard models of fuzzy modal logics, Fuzzy Sets and Systems 26 (1988), no. 3, 357-363. https://doi.org/10.1016/0165-0114(88)90128-5
- L. A. Zadeh, Toward a generalized theory of uncertainty (GTU)-an outline, Inform. Sci. 172 (2005), no. 1-2, 1-40. https://doi.org/10.1016/j.ins.2005.01.017