Intuitionistic Anti-Fuzzy Hx Ring

R. Muthuraj; M. S. Muthuraman

doi:https://doi.org/10.14445/22315373/IJMTT-V34P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 34 | Number 2 | Year 2016 | Article Id. IJMTT-V34P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V34P517

Intuitionistic Anti-Fuzzy Hx Ring

R. Muthuraj, M. S. Muthuraman

Citation :

R. Muthuraj, M. S. Muthuraman, "Intuitionistic Anti-Fuzzy Hx Ring," International Journal of Mathematics Trends and Technology (IJMTT), vol. 34, no. 2, pp. 96-101, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V34P517

Abstract

In this paper, we define the notion of intuitionistic anti fuzzy HX subring of a HX ring and some of their related properties are investigated. We define the necessity and possibility operators of an intuitionistic fuzzy subset of an intuitionistic antifuzzy HX subring and discuss some of its properties. We discuss the concept of an image, pre-image of an intuitionistic anti-fuzzy HX subring and homomorphic, anti homomorphic properties of an intuitionistic anti- fuzzy HX subring are discussed.

Keywords

Intuitionistic fuzzy set, fuzzy HX ring, intuitionistic anti-fuzzy HX subring, homomorphism and anti homomorphism of an intuitionistic antifuzzy HX subring, image and pre-image of an intuitionistic anti-fuzzy HX subring.

References

[1]. Atanassov.K.T, intuitionistic fuzzy sets,Fuzzy Sets and System 20 (1986) , pp 87-96.
[2]. Bing-xueYao and Yubin-Zhong, Upgrade of algebraic structure of ring, Fuzzy information and Engineering (2009)2: pp 219 - 228.
[3]. Bing-xueYao and Yubin-Zhong, The construction of power ring, Fuzzy information and Engineering (ICFIE), 2007, ASC 40,pp.181-187.
[4]. Dheena.P and Mohanraaj.G, On intuitionistic fuzzy k ideals of semi rings, International Journal of computational cognition, June 2011, Volume 9, No.2,pp.45-50,
[5]. Li Hong Xing, HX group, BUSEFAL, October 1987, 33(4), pp.31-37.
[6]. Li Hong Xing, HX ring, BUSEFAL, January 1988, 34(1), pp.3-8,.
[7]. Liu.W.J., Fuzzy invariant subgroups and fuzzy ideals, Fuzzy sets and systems,8, pp. 133- 139.
[8]. Muthuraj.R, Manikandan K.H., Sithar Selvam.P.M., Intuitionistic Q-fuzzy normal HX group ,International Journal of Mathematical Archive , Vol.2, no10., pp 1828-1832.
[9]. Muthuraj.R, Manikandan K.H., Intuitionistic Q-fuzzy HX subgroup and < α,β > level sub HX groups, CIIT International DOI – FS 122011010.
[10]. Muthuraj.R, Ramila Gandhi.N., Induced fuzzy k-ideal and its level k-ideals on a HX ring ,IOSR Journal of Mathematics (IOSR-JM) Volume 9, Issue 6 (Jan 2014) , pp .138-143.
[11]. Rosenfeld. A., Fuzzy groups, J.Math.Anal.,35(1971),512- 517.
[12]. Zadeh.L.A., Fuzzy sets, Information and control,8,338-353