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http://dx.doi.org/10.4134/CKMS.2012.27.4.701

FUZZY p-IDEALS OF BCI-ALGEBRAS WITH DEGREES IN THE INTERVAL (0, 1]  

Hwang, Yun-Sun (Department of Mathematics Education Dongguk University)
Ahn, Sun-Shin (Department of Mathematics Education Dongguk University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.4, 2012 , pp. 701-708 More about this Journal
Abstract
The notion of an enlarged $p$-ideal and a fuzzy $p$-ideal in BCI-algebras with degree are introduced. Related properties of them are investigated.
Keywords
enlarged $p$-ideal; fuzzy $p$-ideal with degree;
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1 C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190.   DOI
2 Y. Huang, BCI-Algebras, Science Press, Beijing, 2006.
3 K. Iseki, On BCI-algebras, Math. Math. Sem. Notes Kobe Univ. 8 (1980), 125-130.
4 Y. B. Jun and J. Meng, Fuzzy p-ideals in BCI-algebras, Math. Japon. 40 (1994), no. 2, 271-282.
5 Y. B. Jun, E. H. Roh, and K. J. Lee, Fuzzy subalgebras and ideals of BCK/BCI-algebras with degree in the interval (0, 1], Fuzzy Sets and Systems, submitted.
6 A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517.   DOI
7 O. G. Xi, Fuzzy BCK-algebras, Math. Japon. 36 (1991), no. 5, 935-942.
8 L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353.   DOI
9 X. Zhang, J. Hao, and S. A. Bhatti, On p-ideals of a BCI-algebra, Punjab Univ. J. Math. 27 (1994), 121-128.