Properties of Lower Level Subsets of Intuitionistic Anti L-Fuzzy M-Subgroups

Authors

  • P. Pandiammal  Department of Mathematics, G T N Arts College (Autonomous), Dindigul, Tamil Nadu, India
  • Nivetha Martin  Department of Mathematics, Arul Anandar College (Autonomous), Karumathur, Madurai, Tamil Nadu, India

Keywords:

Intuitionistic Fuzzy Subsets; Intuitionistic Anti Fuzzy Subgroups; Intuitionistic Anti L-Fuzzy M- Subgroups; Intuitionistic Anti Fuzzy Characteristic.

Abstract

In this paper, we introduce the concept of lower level subsets of Intuitionistic Anti L-fuzzy M- subgroups and investigate some related properties.

References

  1. Aktas, H and Cagman, N., "Generalized product of fuzzy subgroup and t -level subgroups", Math. Commun, Vol. 11, pp.121 -128, 2006.
  2. Atanassov. K. T.," Intuitionistic fuzzy sets", Fuzzy sets and systems, Vol.20, pp. 87 -96,1986
  3. Atanassov. K. T., "New operations defined over the intuitionistic fuzzy sets", Fuzzy sets and systems, Vol. 61, pp.137 –142, 1994
  4. Azriel Rosenfeld, Fuzzy Groups, Journal of mathematical analysis and applications 35, (1971) 512-517.
  5. R. Biswas, Fuzzy subgroups and anti-fuzzy subgroups, Fuzzy Sets and Systems 35 (1990), 121-124.
  6. Choudhury. F. P and Chakraborty. A. B and Khare. S. S., "A note on fuzzy subgroups and fuzzy homomorphism", Journal of mathematical analysis and applications, Vol.131,537 - 553,1988.
  7. J.A. Goguen, L-fuzzy sets, J. Math. Anal. Appl.18(1967),145-179.
  8. Jacobson. N., Lectures in abstract algebras. East -west press, 1951.
  9. Mohamed Asaad, Groups and Fuzzy Subgroups, Fuzzy Sets and Systems, 39(1991)323-328.
  10. Massa'deh. M. O and For a. A.A., "Centralizer of upper fuzzy groups", Pioneer journal of mathematics and mathematical sciences, Vol.1, pp. 81-88, 2011
  11. N.Palaniappan, R.Muthuraj, The homomorphism, Anti-homomorphism of a fuzzy and an anti-fuzzy group, Varahmihir Journal of mathematical Sciences, 4 (2)(2004) 387-399.
  12. N.Palaniappan , S. Naganathan, & K. Arjunan, A Study on Intuitionistic L-Fuzzy Subgroups, Applied mathematical Sciences, 3 (53) (2009) 2619-2624.
  13. Pandiammal. P, Natarajan. R, and Palaniappan. N , Anti L-fuzzy M-subgroups, Antarctica J. Math., Vol. 7, number 6, 683-691, (2010).
  14. Pandiammal. P, Intuionistic Anti L-fuzzy M-subgroups, International Journal of computer and organization Trends, Volume 5, Feb. 2014.
  15. Pandiammal. P, A Study on Intuionistic Anti L-fuzzy Normal M-subgroups, International Journal of computer and organization Trends, Volume 13, number 1, Oct. 2014.
  16. Prabir Bhattacharya, Fuzzy subgroups: Some characterizations, J. Math. Anal. Appl. 128 (1981) 241-252.
  17. Rosenfeld. A.," Fuzzy groups", J. Math. Anal. Appl, Vol. 35, pp. 512 -517, 1971.
  18. Roventa. A and Spircu. T.," Groups operating on fuzzy sets", Fuzzy sets and systems, Vol. 120 , pp. 543 -548,2001.
  19. Sulaiman. R and Ahmad. A. G.," The number of fuzzy subgroups of finite ncyclic groups", Int. Math. Forum, Vol.6 , pp. 987 -994,2011.
  20. Tarnauceanu. M and Bentea.L.," On the number of fuzzy subgroup of finite abelian groups", Fuzzy sets and systems, Vol. 159, pp. 1084 -1096,2008.
  21. L.A. Zadeh, Fuzzy sets, Information and control, 8, (1965) 338-353.

International Journal of Scientific Research in Science, Engineering and Technology

Downloads

Published

2017-12-31

Issue

Volume 3, Issue 8, November-December-2017

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
P. Pandiammal, Nivetha Martin "Properties of Lower Level Subsets of Intuitionistic Anti L-Fuzzy M-Subgroups " International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 8, pp.440-446, November-December-2017.