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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 8 | Year 2013 | Article Id. IJMTT-V4I8P1 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I8P1

Anti Q-Fuzzy M-Subgroups Of Near Rings


A. Solairaju, P. Sarangapani , R. Nagarajan , P.Muruganantham
Abstract

In this paper, we introduce the notion of Q-fuzzification of M-subgroups in a near-ring and investigate some related properties. Characterization of Anti Q-fuzzy M- subgroups with respect to s-norm is given.

Keywords
Q-fuzzy set, Q- fuzzy M-subgroup (sub near rings), anti Q-fuzzy M-subgroups, s-norm.
References

[1]. S. Abou-Zoid , “ On fuzzy sub near rings and ideals” , Fuzzy sets. Syst. 44 (1991), 139-146.
[2]. Y.U. Cho, Y.B.Jun, “ On intuitionistic fuzzy R- subgroup of near rings” , J. Appl. Math. and Computing , 18 (1-2) (2005), 665- 677.
[3]. K.H.Kim , Y.B. Jun, “On fuzzy R- subgroups of near rings, J. fuzzy math 8 (3) (2000), 549-558.
[4]. K.H.Kim, Y.B.Jun, “ Normal fuzzy R- subgroups of near rings”, J. fuzzy sets. Syst.121(2001), 341-345.
[5]. Osman Kazanci, Sultan Yamark and Serife Yimaz “ On intuitionistic Q- fuzzy R- subgroups of near rings, International mathematical forum, 2, 2007, 59, (2899-2910)
[6]. A. Solairaju and R. Nagarajan, “Q-fuzzy left R-subgroups of near rings with respect to T-norm”, Antarctica Journal of Mathematics, 5(2)(2008), 59-63.
[7]. A. Solairaju and R. Nagarajan, “A New structure and construction of Q-fuzzy groups”, Advanced Fuzzy Mathematics, 4(1)(2009), 23-29.
[8]. Solairaju A, P.Sarangapani, R.Nagarajan, Union fuzzy soft N-groups, International Research Journal of Pure Algebra, Vol.3,No.6(2013), PP 242-246.
[9]. Zadeh L.A, ”Fuzzy Sets”, Information and Control Vol.8,(1965) pp 338-353.

Citation :

A. Solairaju, P. Sarangapani , R. Nagarajan , P.Muruganantham, "Anti Q-Fuzzy M-Subgroups Of Near Rings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 8, pp. 130-135, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I8P1

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