Volume 57 | Number 6 | Year 2018 | Article Id. IJMTT-V57P557 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P557
In this paper we have investigated the notion of Intuitionistic fuzzy N-subgroup and Intuitionistic fuzzy ideal of an N-group E and shown a new way of defining these notions using the intuitionistic fuzzy points and a membership and non membership functions. We also define Intuitionistic fuzzy prime N-subgroup towards the end of this paper.
[1] Atanassov K . (1986),Intuitionistic fuzzy sets,Fuzzy sets and systems,20,87-96.
[2] Bakhadach I., Melliani S.,Oukessou M. and Cadli L. S. (2016),Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a nearring, Notes on Intuitionistic Fuzzy sets, Vol. 22,59-63.
[3] Devi Ratnabala (2007),Intuitionistic fuzzy near-ring and its properties,Journal of the Indian Math.Soc.,Vol. 74, nos. 3-4,203-219.
[4] Dutta T. K.. ,and Biswas B.K. (1997), Fuzzy ideals of a near-ring,Bull. Cal. Math. Soc.89,447-456.
[5] Hong S. M.,Jun Y. B. and Kim K. H. (1998),Fuzzy Ideals in Near-rings,Bull Korean Math.Soc.35,No.3,455-464.
[6] Jun Y. B. and Song S. Z. (2005), Intuitionistic fuzzy semipreopen sets and intuitionistic semiprecontinuous mappings,Journal of Applied Math and computing,19(1-2),467-474.
[7] Kim K.H.,Jun Y.B.(2001), Normal fuzzy R-subgroups in near-rings,FSS,121,341-345.
[8] Mashour R. S.,Ghanim M. H. Sidky F.I. (1986),Fuzzy sub modules,Simon Stevin,Quart.J.Pure Appl. Math 60(2),123-132.
[9] Sardar S. K. ,Mandal M. , Majumdar S. K. (2011), Intuitionistic fuzzy points in semigroups,International Journal of Mathematical of Computational Sciences,Vol. 5,No.3,505-510.
[10] Saikia H. K. and Barthakur L. K. ,(2003),On fuzzy sub structures of near-rings,Journal of Pure Math,20,25-32.
[11] Saikia h. K. and Barthakur L. K. (2003),On fuzzy N-subgroups and fuzzy ideals of near-rings and near-ring groups,The journal of fuzzy Mathematics,11(3),567-580.
[12] Zadeh L. A. (1965), Fuzzy sets, Inform and Contr. 8,338-353.
Pradip Saikia, Helen K. Saikia, "Intuitionistic Fuzzy N-subgroup and Intuitionistic Fuzzy Ideal," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 6, pp. 418-421, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P557