ON INTUITIONISTIC FUZZY BI-IDEALS IN GAMMA NEAR RINGS

Authors

  • EZHILMARAN D School of Advanced Sciences, VIT University,Vellore – 632 014. Tamilnadu, India.
  • DHANDAPANI A Department of Mathematics, Salalah College of Technology,Salalah. Sultanate of Oman.

Abstract

In this paper, we introduce the intuitionistic fuzzy bi ideals in G-near-rings and investigate some of their related properties.

Author Biography

DHANDAPANI A, Department of Mathematics, Salalah College of Technology,Salalah. Sultanate of Oman.

Professor

References

Atanassov. K.T, Intuitionistic fuzzy sets, Fuzzy sets and systems, 20(1), 1986. 87– 96.

Anthony. J. M, and Sherwood, H. Fuzzy groups redefined, J.Math. Anal. Appl. 69:1979. p.124–130.

Barnes. W.E., On the rings of Nobusawa, Pacific J. Math., 18, 1966.p. 411-422.

Booth. G.L., A note on ï‡-near-rings Stud. Sci. Math. Hung. 23, 1988.p. 471-475.

Chinram R. Generalized transformation semigroups whose sets of quasi-ideals and bi–ideals coincide, Kyungpook Math. J. 45, 2005.p. 161–166.

Dixit. V.N., Kumar R., Ajal N., On fuzzy rings, Fuzzy Sets and Systems 49, 1992.p. 205-213.

Jun Y.B., Lee C.Y., Fuzzy ï‡ -rings, Pusan Kyongnam Math. J., 8(2), 1992.p.163-170.

Jun Y.B., Sapanci M., and Ozturk M.A., Fuzzy Ideals in Gamma Near-rings, Tr.J. of Mathematics, 22, 1998.p. 449-459.

Jun Y.B., Kin K.H., Ozturk M.A., Fuzzy Maximal Ideals of Gamma Near- rings,

Turk.J., of Mathematics, 25, 2001.p. 457-463.

Kuroki, N. Fuzzy bi–ideals in semigroups, Comment. Math. Univ. St. Paul. 28, 1980.p.17–21.

Kuroki N., On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems, 5, 1981.p. 203-205.

Liu W., Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems 8,1982. p.133-139.

Palaniappan, N, Veerappan.P. S., Ezhilmaran. D., Some properties of intuitionistic fuzzy ideals in ï‡-near-rings, Journal of Indian Acad. Maths, 31(2), 2009.p. 617-624.

Rosenfeld A., Fuzzy groups J. Math. Anal. Appl. 35, 1971.p. 512-517.

Satyanarayana Bh., Contributions to near-ring theory Doctoral Thesis,

Nagarjuna Univ. 1984.

Satyanarayana Bh., A note on ï‡-near-rings, Indian J.Math., 41(3), 1999.p. 427-433.

Tamizh Chelvam, T., Meenakumari. N, Bi- Ideals of Gamma near rings, Southest Asian

Bulletin of Mathematics,27,2004.p.983-988.

Zadeh L. A., Fuzzy sets Inform. & Control 8, 1965.p. 338-353.

Published

01-01-2017

How to Cite

EZHILMARAN D, & DHANDAPANI A. (2017). ON INTUITIONISTIC FUZZY BI-IDEALS IN GAMMA NEAR RINGS. Innovare Journal of Engineering and Technology, 5(1). Retrieved from https://mail.innovareacademics.in/journals/index.php/ijet/article/view/16273

Issue

Section

Original Article(s)