On Fuzzy SBA-Ideal of AB-Algebra

Authors

  • Alaa Saleh Abed
  • Showq Mohammed.E

DOI:

https://doi.org/10.32792/jeps.v10i1.35

Keywords:

AB-algebra, fuzzy AB- ideal, the equivalence calss, level cut

Abstract

In this paper, we introduce and study ideal in AB- Algebra, it is called SBA-ideal, we give some
examples, properties and theorems about it .Also,we study the direct product of SBA-ideals finaly, we
introduce and study fuzzy SBA –ideal of AB-Algebra

References

A.T. Hameed and B. N. Abbas, "Derivation of AB-Ideals of and Fuzzy AB-Ideals of AB- Algebras”,

a theses Submitted to council of the Faculty of Education for Girls, kufa university,2018.

A.T. Hameed, "AB-Ideals of AB- Algebras “, Applied Mathmatical, Vol,11, no.35,1715-1723,2017.

D. Dubis and H, prade, "Fuzzy Set and Systems”, academic press, INC, (London)LTD., Academic

press, INC, fifth Avenue, New York, 1980.

Das P.S.," Fuzzy Groups and Level Subgroups", Journal of Mathematical 230. Analysis and

Applications, vol.84, pp.264-269, 1981

K. Iseki and S. Tanaka,"An introduction to the theory of BCK-algebras, Math, Japonica 23, no.1,1-

,1978.

K. Iseki,"On BCI-algebras, Mathemayics Seminer Notes 8,125-130,1980.

L.A. Zadeh, "Fuzzy Set”, Information and control vol. 8, pp 338-358,1965.

V. Kumbhojkar. and Bapat M.S., "Notso-fuzzy ideals", Fuzzy Set and Systems,

vol.37 (1991), pp.237-243.

W.B. vasantha andasamy," Samarandache Fuzzy Algebra”, United States of America, pp.9-10,

pp.47-58,292,2003.

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Published

2020-12-02

Issue

Vol. 10 No. 1 (2020)

Section

Articles

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