Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P508
In this paper, we have introduced the concept of step N-fuzzy soft subgroup and step N-fuzzy soft cosset of a given group. We study the concept of step N-fuzzy soft normal subgroup and have discussed various related properties. We have also studied the effect on the image and inverse image of step N-fuzzy soft subgroup (normal) under group homomorphism.
[1] K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2), 137-142, 1994.
[2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96, 1986.
[3] K. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, 343-349, 1989.
[4] K. Atanassov, Remark on intuitionistic fuzzy numbers, Notes on intuitionistic fuzzy sets, 13, 29-32, 2007.
[5] P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9(3) (2001), 589-602.
[6] P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl., 44(2002), 1077-1083.
[7] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comput. Math. Appl., 45(2003), 555-562.
[8] D.A. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37(1999) 19-31.
[9] Rosenfeld A., Fuzzy groups, J. Math. Anal. Appl., 35(1971), 512 – 517.
[10] 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.
[11] 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.
[12] Yuan X, Zhang C, Ren Y., Generalized fuzzy groups and many-valued implications, Fuzzy Sets Syst. 138, (2003),205–211.
[13] Zadeh L. A., Fuzzy sets, Inform. and Control, 8, (1965),338 – 353.
T.Portia Samathanam, G.Subbiah ,M.Navaneethakrishnan, "Intuitionistic Step N- Fuzzy Soft Normal Subgroup Over Q-Fuzzy Soft Version," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 48-55, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P508