α-Q-fuzzy Subgroups

Authors

  • Muwafaq M. Salih College of Basic Education, Department of Mathematics, University of Duhok, Duhok, Kurdisatn Region - Iraq
  • Delbrin H. Ahmed College of Basic Education, Department of Mathematics, University of Duhok, Duhok, Kurdisatn Region - Iraq

DOI:

https://doi.org/10.25007/ajnu.v6n3a74

Keywords:

α-Q-fuzzy Subset, α-Q-fuzzy Subgroup, Anti-homomorphism, α-Q-fuzzy Abelian Subgroup and Cyclic α-Q-fuzzy Subgroup, AMS Subject Classifications (2010): 03E72, 08A72 and 20N25

Abstract

In this paper, the notations of α-Q-fuzzy subset and α-Q-fuzzy subgroup are introduced, and a necessary properties related to these two concepts are proven. In the past part in this work, the effect of α-Q-fuzzy subgroup on the image and inverse-image under group anti-homomorphism are studied.

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References

Abdullah, A.S & Jeyaraman, K. (2010). Anti-homomorphism in fuzzy sub groups. International Journal of Computer Applications, 1(8), 24-27.

Kim, K.H. (2006). On intuitionistic Q-fuzzy semi prime ideals in semi groups. Advances in Fuzzy Mathematics, 1(1), 15-21.

Palaniappan, N & Muthuraj, R. (2004). The homomorphism and anti - Homomorphism of a fuzzy and an anti - Fuzzy groups. Varahmihir Journal of MathematicalSciences, 4(2), 387‑399.

Rosenfeld, A. (1971). Fuzzy groups. Journal of Mathematical Analysis and Application, 35, 512-517.

Sharma P.K. (2013). α-fuzzy subgroups. International Journal of Fuzzy Mathematics and Systems, 3(1), 47-59.

Solairaju, A & Nagarajan, R. (2009). A new structure and construction of Q-fuzzy groups. Advances in FuzzyMathematics, 4(1), 23-29.

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

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Published

2017-07-18

How to Cite

Salih, M. M., & Ahmed, D. H. (2017). α-Q-fuzzy Subgroups. Academic Journal of Nawroz University, 6(3), 26–31. https://doi.org/10.25007/ajnu.v6n3a74

Issue

Vol. 6 No. 3 (2017)

Section

Articles

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