Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups

Authors

  • R Jahir Hussain PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu
  • S Palaniyandi PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu

DOI:

https://doi.org/10.23755/rm.v46i0.1071

Keywords:

Fuzzy, subgroup, Q-fuzzy, anti-homomorphism, fuzzy abelian, fuzzy normal subgroup

Abstract

Many researchers have explored the fuzzy set extensively. We propose the notion of anti-homomorphism in Q is fuzzy subgroups and normal subgroups. It is establish some findings in this study article and build the theory of anti-homomorphism in Q-fuzzy subgroups, normal subgroups. It is also extend results on Q-fuzzy abelian sub-group and Q-fuzzy normal subgroup.

References

R. Biswas. Fuzzy subgroups and anti fuzzy subgroups. Fuzzy sets and Systems,35(1):121–124, 1990.

F. Choudhury, A. Chakraborty, and S. Khare. A note on fuzzy subgroups and fuzzy homomorphism. J. Math. Anal. Appl, 131(2):537–553, 1988.

N. Palaniappan and R. Muthuraj. Anti fuzzy group and lower level subgroups. Antartica J.Math, 1(1):71–76, 2004.

A. Rosenfeld. fuzzy groups. J. math. Anal.Appl., 35(3):512–517, 1971.

A. Sheik Abdullah and K. Jeyaraman. Anti- homomorphism in fuzzy subgroups.

International Journal of Computer Applications, 12(8):0975–8887, 2010.

A. Solairaju and R. Nagarajan. A new structure and construction of q-fuzzygroups. Advances in Fuzzy Mathematics, 4(1):23–29, 2009.

L. Zadeh. Fuzzy setl. Information and Control, 8(3):338–353, 1965

Downloads

Published

2023-03-20