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FUZZY SUB-IMPLICATIVE IDEALS OF BCI-ALGEBRAS
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 Title & Authors
FUZZY SUB-IMPLICATIVE IDEALS OF BCI-ALGEBRAS
Jun, Young-Bae;
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 Abstract
We Consider the fuzzification of sub-implicative ideals in BCI-algebras, and investigate some related properties. We give conditions for a fuzzy ideal to be a fuzzy sub-implicative ideal. we show that (1) every fuzzy sub-implicative ideal is a fuzzy ideal, but the converse is not true, (2) every fuzzy sub-implicative ideal is a fuzzy positive implicative ideal, but the converse is not true, and (3) every fuzzy p-ideal is a fuzzy sub-implicative ideal, but the converse is not true. Using a family of sub-implicative ideals of a BCI-algebra, we establish a fuzzy sub-implicative ideal, and using a level set of a fuzzy set in a BCI-algebra, we give a characterization of a fuzzy sub-implicative ideal.
 Keywords
(fuzzy) sub-implicative ideal;fuzzy positive implicative ideal;fuzzy p-ideal;(fuzzy) characteristic sub-implicative ideal;
 Language
English
 Cited by
1.
Algorithms and computations for foldedness of P-ideals in BCI-algebras, Journal of Applied Logic, 2008, 6, 4, 580  crossref(new windwow)
2.
Doubt Atanassov's intuitionistic fuzzy Sub-implicative ideals inBCI-algebras, International Journal of Computational Intelligence Systems, 2015, 8, 2, 240  crossref(new windwow)
3.
Computational methods for study of foldness of H-ideals in BCI-algebras, Soft Computing, 2007, 12, 4, 403  crossref(new windwow)
 References
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Y. B. Jun and J. Meng, Fuzzy p-ideals in Bel-algebras, Math. Japon. 40 (1994),no. 2, 271-282.

2.
Y. L. Liu and J. Meng, Sub-implicative ideals and sub-commutative ideals of BCl-algebras, Soochow J. Math. (to appear).

3.
Y. L. Liu and J. Meng, Fuzzy ideals in BCl-algebras, Fuzzy Sets and Systems 123 (2001), 227-237. crossref(new window)

4.
L. A. Zadeh, Fuzzy sets, Inform. Control. 8 (1965), 338-353. crossref(new window)