Keywords:-

Keywords: : Q-Fuzzy Normal subgroup; Q-Fuzzy Characteristic subgroup; Q-Fuzzy Normalizer; Q-Fuzzy Cosets; Pseudo Q-Fuzzy Cosets.

Article Content:-

Abstract

This paper on the basis of fuzzy sets introduced by L.A Zadeh , we first gave  the definition of  - fuzzy set and then defined -fuzzy subgroups and - fuzzy normal subgroups and finally, defined quotient group of the - fuzzy cosets of an -fuzzy normal subgroup. This paper, we introduce the concepts of Q-fuzzy normal sub groups and Q-fuzzy cosets and discussed some of its properties.

References:-

References

Akram .M, Shum .K.P,(2010), Fuzzy Lie Ideals over a Fuzzy Field, Italian Journal of Pure and Applied Mathematics – n. Vol 2, No :27, pp.281−292.

Biswas. R, (1960), Fuzzy subgroups and anti-fuzzy subgroups, Fuzzy sets and systems, 35, pp.121-124.

Choudhury.F.P. et al (1988), A note on fuzzy subgroups and Fuzzy homomorphism .Journal of mathematical analysis and applications 131,pp. 537 -553 .

Das. P.S,(1981), Fuzzy groups and level subgroups, J.Math.Anal. Appl, Vol.84, pp. 264-269.

Dixit.V.N., Rajesh Kumar et al (1990),Level subgroups and union of fuzzy subgroups, Fuzzy Sets and Systems, 37, pp.359-371.

Fareeha Dilawar et al (2020), Algebraic Properties of W-Q Fuzzy Subgroups, International Journal of Mathematics and Computer Science Vol 1,No:1, PP.25-274.

Jahir Hussain et al (2019),A Review on Q- Fuzzy subgroups in Algebra, International journal of Applied Mathematics, Vol 14,N0:3 ISSn:0973-4562,pp.60-63.

Mohamed Asaad, et al (2015),Groups and Fuzzy Subgroups, Fuzzy Sets and Systems 39 (1991), 323-328.

Priya and Ramachandran (2013), On Q- fuzzy Normal Subgroups, International journal of Computer of organization Trends, Vol 3,Issue 6, pp. 45-47.

Rethinakumar et al (2016), Intuitionistic Q-Fuzzy Normal Subgroups, International Journal of Innovative Research in Science Engineering and Technology, Vol 5, Issue 6, ISSN 2317-8753, pp.9254-921.

Sahaya Arockia Selvi(2014), Homomorphism on Bipolar Valued Q-Fuzzy Subgroup of a group, Applied Mathematical Science, Vol:8mNi.61,pp.3043-3049.

Gopi kantaBarhakur et al (2013), On Q- Fuzzy N- Subgroups and Q-Fuzzy ideal of An N-groups, International journal of Fuzzy Mathematics and System, Vol 3 No:2 ISSn:2248-9940,pp.153-161.

Mary Jensi Rani etal(2017), On N-Generated Q- Fuzzy Normal Subgroups, Journal of Mathematics, Vol 29 ,Issue:2, ISSN:2394-9309,pp.1-8.

Vethamanikam.A and Balasubramaniam S(2014), A Study on fuzzy normal subgroups and cosets, Journal of Applied Mathematics, Vol 25,Issu:1, pp. 34-19.

Saleem Abdullag et al (2013), A New type of fuzzy normal subgroups and fuzzy cosets, Journal of Intelligent and Fuzzy Mathematics, Vol 25,Issue 1,pp.23151-23153.

Muhammad Gulzar et al (2020),Algebraic properties of W-Q Fuzzy Subgroups, International Journal of Mathematics and computer Science , Vol 15(1), pp. 25-274.

Palaniappan N and Muthuraj R.(2004), Anti Fuzzy group

and Lower Level Subgroups, Antarctica J.Math. Vol 1

,No:(1) , pp.71-76.

Priya T., Ramachandran T. and Nagalakshmi

K.T(2018), Q-fuzzy normal subgroup, International

Journal of Computer & Organization Trends – Volume

, pp.462-465.

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Anithakumari, V., & Akila, S. (2020). A Mathematical Study on Q Fuzzy Normal Subgroups. International Journal Of Mathematics And Computer Research, 8(09), 2137-2140. https://doi.org/10.47191/ijmcr/v8i9.01