Applied and Computational Mathematics
Volume 4, Issue 1-2, January 2015, Pages: 4-9
Received: Sep. 5, 2014;
Accepted: Sep. 25, 2014;
Published: Nov. 3, 2014
Views 3174 Downloads 182
Rathinam Nagarajan, Department of Mathematics, J. J College of Engineering &Technology, Tiruchirappalli-09, India
K. Venugopal, Department of Mathematics, J. J College of Engineering &Technology, Tiruchirappalli-09, India
In this paper we shall study some properties for upper Q- fuzzy subgroups, some lemma and theorem for this subject. We shall study the upper Q- fuzzy index with the upper fuzzy sub groups; also we shall give some new definitions for this subject. On the other hand we shall give the definition of the upper normal fuzzy subgroups, and study the main theorem for this. We shall also give new results on this subject.
ON (m, n) –Upper Q-Fuzzy Soft Subgroups, Applied and Computational Mathematics. Special Issue: New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications.
Vol. 4, No. 1-2,
2015, pp. 4-9.
Anthony, J. M. and Sherwood, H. Fuzzy Group Redefined, J. Math.Anal. Appl, 69. 1979), 124 – 130.
Abd-Allah AM, Omer Rak (Fuzzy Partial Groups. Fuzzy Sets and Systems 82: 1996), 369-374.
M.I Ali, F. Feng, X.Y. Liu, W. K. Min, M. Shabir On some new operations in soft set theory,. Computers and Mathematics with Applications 57, (2009) ,1547–1553.
B. Ahmad and A. Kharal, On Fuzzy Soft Sets, Advances in Fuzzy Systems, Volume 2009
Dib KA, Hassan AM The Fuzzy Normal Subgroups, Fuzzy. Sets and Systems 98,(1998), 393-402.
Dong, B: Direct product of anti fuzzy subgroups. J Shaoxing Teachers College 5, 29–34 (1992). in Chinese.
D. A. Molodtsov, Soft Set Theory - First Result, Computers and Mathematics with Applications, Vol. 37, (1999), pp. 19-31.
P. K. Maji and A.R. Roy, Soft Set Theory, Computers and Mathematics with Applications 45 (2003) ,555 – 562.
P. K. Maji, R. Biswas and A.R. Roy, Fuzzy Soft Sets, Journal of Fuzzy Mathematics, Vol 9 , no.3, (2001), pp.-589-602.
Rosenfeld, A. Fuzzy groups, J. Math. Anal. Appl, 35. (1971), 512 – 517.
Shen, Z: The anti-fuzzy subgroup of a group. J Liaoning Normat Univ (Nat Sci) 18(2): (1995). 99–101 in Chinese
A.Solairaju and R,Nagarajan ,A New structure and constructions of Q- fuzzy group, Advances in Fuzzy Mathematics, Vol.4, No.1 (2009), 23-29.
A.Solairaju and R,Nagarajan ,Some Structure Properties of Upper Q-fuzzy Index order with upper Q-fuzzy subgroups, International Journal of Open Problems and Applications, Vol.3, No.1(2011), 21-29.
A.Solairaju and R,Nagarajan Anti Q- fuzzy G-modular distributive lattices, International Journal of Mathematical Archive, Vol.3, No.4(2012), 1-9.
A.Solairaju and R,Nagarajan On Bipolar Anti Q-fuzzy group, International Journal of Computer Applications, Vol.15,No.6(2010), 30-34.
G.Subbiah and R.Nagarajan , Degrees of Q-fuzzy group over implication Operator [0,1], Elixir Applied Mathematics, Vol.63(2013) 18350-18352
Yuan, X, Zhang, C, Ren, Y: Generalized fuzzy groups and many-valued implications. Fuzzy Sets Syst. 138, (2003),205–211
Yao, B: (λ, μ)-fuzzy normal subgroups and (λ, μ)-fuzzy quotient subgroups. J Fuzzy Math. 13(3),(2005),695–705.
Yao, B: (λ, μ)-fuzzy subrings and (λ, μ)-fuzzy ideals. J Fuzzy Math. 15(4), (2007),981–987
Zadeh , L . A. Fuzzy sets , Inform . and Control, 8, (1965),338 – 353.