A study on intuitionistic $(\lambda, \mu)$ - fuzzy subrings of a ring

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DOI:

https://doi.org/10.26637/MJM0701/0017

Abstract

In this paper, we made an attempt to study the algebraic nature of intuitionistic (λ,µ)-fuzzy subring of a rings.

Keywords:

Fuzzy set, (λ,µ) -fuzzy subring, (λ,µ) -anti-fuzzy subring, intuitionistic fuzzy set, intuitionistic (λ,µ) -fuzzy subring

Mathematics Subject Classification:

Mathematics
  • V. Saravanan Mathematics Section, FEAT, Annamalai University, Annamalai Nagar, Tamil Nadu, India.
  • Pages: 83-90
  • Date Published: 01-01-2019
  • Vol. 7 No. 01 (2019): Malaya Journal of Matematik (MJM)

J. M. Anthony and H. Sherwood, Fuzzy groups Redefined, Journal of Mathematical Analysis and Applications, 69(1979), 124-130.

Asok Kumer Ray, On product of fuzzy subgroups, Fuzzy Sets and Systems, 105(1999), 181-183.

K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1)(1986), 87-96.

K. T. Atanassov, Intuitionistic Fuzzy Sets Theory and Applications, Physica-Verlag, A Springer-Verlag company, April 1999, Bulgaria.

B. Banerjee and D.K.Basnet, Intuitionistic fuzzy subrings and ideals, Journal of Fuzzy Mathematics, 11(1)(2003), $139-155$.

K. Chakrabarty, R. Biswas and Nanda, A note on union and intersection of Intuitionistic fuzzy sets , Notes on Intuitionistic Fuzzy Sets, 3(4), (1997).

K. De, R. Biswas and A. R. Roy, On intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 3(4), (1997).

K. De, R. Biswas and A. R. Roy, On intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 4(2), (1998).

K. Hur, H. W. Kang and H.K.Song, Intuitionistic fuzzy subgroups and subrings, Honam Mathematics Journal 25(1)(2003), 19-41.

H. V. Kumbhojkar and M. S. Bapat, Correspondence theorem for fuzzy ideals, Fuzzy Sets and Systems, (1991).

Mustafa Akgul, Some properties of fuzzy groups, Journal of Mathematical Analysis and Applications, 133(1988), 93-100.

Rajesh Kumar, Fuzzy Algebra, Volume 1, University of Delhi Publication Division, July -1993.

Rajesh Kumar, Fuzzy irreducible ideals in rings, Fuzzy Sets and Systems, 42(1991), 369-379.

Salah Abou-Zaid, On generalized characteristic fuzzy subgroups of a finite group, Fuzzy Sets and Systems, 235$241,(1991)$.

P. Sivaramakrishna das, Fuzzy groups and level subgroups, Journal of Mathematical Analysis and Applications, 84(1981), 264-269.

W. B. Vasantha kandasamy, Smarandache Fuzzy Algebra, American research press, Rehoboth -2003 .

B. Yao, $(lambda, mu)$-fuzzy subrings and $(lambda, mu)$ - fuzzy ideals, The Journal of Fuzzy Mathematics, 15(4)(2007), 981987.

L. A. Zadeh, Fuzzy sets, Information and control, $8(1965), 338-353$.

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Published

01-01-2019

How to Cite

V. Saravanan. “A Study on Intuitionistic $(\lambda, \mu)$ - Fuzzy Subrings of a Ring”. Malaya Journal of Matematik, vol. 7, no. 01, Jan. 2019, pp. 83-90, doi:10.26637/MJM0701/0017.