Max-Norm Q-Fuzzy Interval Valued Subgroups Of Near Rings

  IJMTT-book-cover
 
International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2013 by IJMTT Journal
Volume-4 Issue-8                           
Year of Publication : 2013
Authors : A. Solairaju, P. Sarangapani , R. Nagarajan, P.Muruganantham

MLA

A. Solairaju, P. Sarangapani , R. Nagarajan, P.Muruganantham"Max-Norm Q-Fuzzy Interval Valued Subgroups Of Near Rings"International Journal of Mathematical Trends and Technology (IJMTT),V4(8):136-148 2013. Published by Seventh Sense Research Group.

Abstract
In this paper we introduce the notion of Interval Max norm Q-fuzzy R-subgroup of near rings and investigate some of their properties. Using Lower level set, we give a characterization of Maxi Q-fuzzy right R- subgroup. Finally we establish the idea of the homomorphic image and the inverse image.

References

[1] Abou-Zoid S , Fuzzy sets and syst. 44(1991) 139-146.
[2] Gor. Zalczany M.B, Fuzzy sets syst. 21 (1987) 1-17
[3] Hong S.M, Y.B.Jun and H.S.Kim, Bull. Korean. Math. Soe 35(3)(1998) 455-464.
[4] Hor C.K and H.S.Kim , Far East J.Math.Sci. Special Volume(1997) Part V 215-252.
[5] Jun Y.B and K.H.Kim ,Bull. Korean. Math. Sci.(submitted)
[6] Jun Y.B Indian Journal of Pure. Appl. Math 33(1) (2002) ,71-80.
[7] Kim K.H and Y.B.Jun Journal of Fuzzy Math. 8(8) (2000) 549-558.
[8] Kim K.H and Y.B.Jun, Scientific Mathemeticia 2(2) (1999) 147-153.
[9] Kim K.H and Y.B.Jun.Korean Journal Comp. & Appl.Math 7(2)(2000) 685-692.
[10] Kim S.D and H.S.Kim Bull. Korean. Math. Sci. 33(1996) 593-601.
[11] Liu W Fuzzy sets. Syst. 8(1982) 133-139.
[12] Roy M.K and R.Biswas. Fuzzy sets. Syst. 47(1992). 35-38.
[13] Solairaju A, R.Nagarajan Q- fuzzy left R- subgroup of near rings w.r.t T- norms, Antarctica Journal of Mathematics,5 , no.2(2008) , 59-63.
[14] Solairaju A, R.Nagarajan A New structure and construction of Q- fuzzy groups, Advances in Fuzzy Mathematics, 4, No.1(2009), 23-29.
[15] A.Solairaju and R.Nagarajan, Lattice valued Q- fuzzy sub modules of near rings with respect to norms” , Advances in Fuzzy mathematics, 4(2)(2009),137-145.

Keywords
Interval number, Interval max norm, Q-fuzzy set, Homomorphism , Lower level cut, near rings.