FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS

Liu, Yong-Lin; Liu, San-Yang; Meng, Jie

doi:10.4134/BKMS.2004.41.1.167

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FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS

Journal title : Bulletin of the Korean Mathematical Society
Volume 41, Issue 1, 2004, pp.167-179
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2004.41.1.167

Title & Authors

FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS
Liu, Yong-Lin; Liu, San-Yang; Meng, Jie;

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

4time(s) in CrossRef

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BCI-implicative ideals of BCI-algebras, Information Sciences, 2007, 177, 22, 4987

Non-commutative residuated lattices based on soft sets, Journal of Intelligent & Fuzzy Systems, 2015, 29, 5, 2271

Some kinds of (∈,∈∨q)-interval-valued fuzzy ideals of BCI-algebras, Information Sciences, 2008, 178, 19, 3738

References

Math. Japon, 1993. vol.38. 3, pp.513-529

J. Math. Anal. Appl., 1981. vol.84. 1, pp.264-269

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

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

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

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

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

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

Fuzzy Sets and Systems, 1994. vol.64. 3, pp.401-405

10.

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

11.

Fuzzy Sets and System, 2001. vol.123. 2, pp.227-237

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

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