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FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS
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 Title & Authors
FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS
Liu, Yong-Lin; Liu, San-Yang; Meng, Jie;
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 Abstract
The notions of FSI-ideals and FSC-ideals in BCI-algebras are introduced. The characterization properties of FSI-ideals and FSC-ideals are obtained. We investigate the relations between FSI-ideals (resp. FSC-ideals) and other fuzzy ideals, between FSI-ideals (resp. FSC-ideals) and BCI-algebras, and show that a fuzzy subset of a BCI-algebra is an FSI-ideal if and only if it is both an FSC-ideal and a fuzzy BCI-positive implicative ideal.
 Keywords
BCI-algebra;FSI-ideal;FSC-ideal;fuzzy ideal;
 Language
English
 Cited by
1.
On characterizations of generalized fuzzy ideals of BCI-algebras, International Journal of Computer Mathematics, 2009, 86, 12, 1989  crossref(new windwow)
2.
BCI-implicative ideals of BCI-algebras, Information Sciences, 2007, 177, 22, 4987  crossref(new windwow)
3.
Non-commutative residuated lattices based on soft sets, Journal of Intelligent & Fuzzy Systems, 2015, 29, 5, 2271  crossref(new windwow)
4.
Some kinds of (∈,∈∨q)-interval-valued fuzzy ideals of BCI-algebras, Information Sciences, 2008, 178, 19, 3738  crossref(new windwow)
 References
1.
Math. Japon, 1993. vol.38. 3, pp.513-529

2.
J. Math. Anal. Appl., 1981. vol.84. 1, pp.264-269 crossref(new window)

3.
Math. Sem., 1980. vol.8. 1, pp.125-130

4.
Math. Japon., 1978. vol.23. 1, pp.1-26

5.
J. Fuzzy Math., 1996. vol.4. 3, pp.567-581

6.
Math. Japon, 1994. vol.40. 3, pp.503-507

7.
Math. Japon, 1994. vol.40. 2, pp.271-282

8.
Commun. Korean Math. Soc., 1994. vol.9. 1, pp.19-25

9.
Fuzzy Sets and Systems, 1994. vol.64. 3, pp.401-405 crossref(new window)

10.
Soochow J. Math., 2000. vol.26. 4, pp.441-453

11.
Fuzzy Sets and System, 2001. vol.123. 2, pp.227-237 crossref(new window)

12.
Adv. Math. (China), 2002. vol.31. 1, pp.65-73

13.
J. Han-zhong Teachers College (1), 1994. pp.4-8

14.
Fuzzy Set and Systems, 1997. vol.89. 2, pp.243-248 crossref(new window)

15.
Pure Appl. Math., 1992. vol.8. 2, pp.99-103

16.
Math. Japon, 1992. vol.37. 3, pp.562-572

17.
Fuzzy Commutative Algebra, 1998.

18.
Math. Japon, 1986. vol.31. 6, pp.889-894

19.
Math. Japon, 1991. vol.36. 5, pp.935-942

20.
Information and Control, 1965. vol.8. pp.338-353 crossref(new window)