Doubt Fuzzy BOI-ideal of BOI-algebra
Keywords:
BOI-algebra; BOI-ideal; Fuzzy BOI-ideal; Doubt Fuzzy BOI-ideal.
Abstract
The aim of this paper is to introduce the notion of doubt fuzzy BOI-ideal of BOI-algebra and to study their properties. The homomorphic image and the inverse image of a doubt fuzzy BOI-ideal is
studied well. The Cartesian product of doubt fuzzy BOI-ideal is introduced and discussed.
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References
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[2] R. K. Bandaru. On BRK-algebras, Int. J. Math. Mathematical Sci. (2012), ID: 952654 12pp.
[3] P. Bhattacharya and N. P. Mukherjee, Fuzzy relations and fuzzy group, Inform. Sci. 36 (1985) 267-282.
[4] O. R. El-Gendy, Anti Fuzzy BRK-ideal of BRK-algebra, British J. math, and Comp. Science, 10 (6) (2015) 1-9.
[5] O. R. El-Gendy, Cubic BRK-ideal of BRK-algebra, Annals of Fuzzy Mathematics and Informatics, 12(2) (2016),
245-253.
[6] O. R. El-Gendy, Fuzzy BRK-ideal of BRK-algebra, JP Journal of Algebra, Number Theory, and Applications, 36
(3) (2015), 231-240.
[7] O. R. El-Gendy, On BOI-algebra, Int. J. Math & Comp. App. Res. (IJMCAR), 9( 2) (2019), ID:
IJMCARDEC20192,13-28.
[8] O. R. El-Gendy, Interval-valued fuzzy BOI-ideal of BOI-algebra, Advances in Fuzzy Sets and Systems, (2019)
Submitted.
[9] Q. P. Hu and X. Li, On BCH-algebras, Math. Sem. Notes Kobe Univ. 11(2) (1983), 313-320.
[10] Q. P. Hu and X. Li, On proper BCH-algebras, Math. Japo. 30 (1985), 659-661.
[11] K. Iséki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.
[12] K. Iséki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japo. 23 (1978), 1-26.
[13] Y. B. Jun, Doubt fuzzy BCK/BCI-algebras, Soochow J. Math. 20 (1994), no. 3, 351–358.
[14] Y. B. Jun, E. H. Roh, and H. S. Kim, “On BH-algebras,” Scientiae Mathematicae Japonica, vol. 1,
no. 3, pp.347–354, 1998.
[15] C. B. Kim, H. S. Kim, On BG-algebras, math. J. 36 (1992), 15-20.
[16] J. Neggers and H. S. Kim, on B-algebras, Math. Vesnik. Vol. 54 (2002), 21-29
[17] J. Neggers, S. S. Ahn and H. S. Kim, On Q-algebras, Int. J. Math. & Math. Sci. Vol. 27 (2001), 749-757.
[18] A. Walendziak, On BF- algebras, Math. Slovaca 57 (2007), No. 2, 119-128.
[19] L. A. Zadeh, Fuzzy sets, Inform. And Control 8 (1965) 338-353.
Published
2019-12-07
How to Cite
El-Gendy, O. R. (2019). Doubt Fuzzy BOI-ideal of BOI-algebra. Journal of Progressive Research in Mathematics, 15(4), 2758-2767. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/1809
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