Algebraic Nature of Fuzzy Subgroups Under Homomorphism
Khadijatul Kobra , Mohammad Monirul Islam , Mr. Anowar Ullah
Abstract
The purpose of this paper is to discuss the nature of fuzzy level subgroups under homomorphism and anti –homomorphism. It is shown that homomorphic image (pre-image)/anti-homomorphic image (pre-image) of level subgroups is also a level subgroup.
[1] Inhehung Chon, On T-fuzzy Groups, Kangweon-kyungi math jurnal-9(2001),No-2,pp:149-156
[2] K.Jeyaman and A.Sheik Abdullah, The Homomorphism and anti-homomorphism of Level subgroups of Fuzzy subgroups, Internatial Mathematical forum,5,2010,no-46,2293-2298
[3] M. Bakhshi and R. A. Borzooei,Some properties of T-Fuzzy Generalized subgroups, Iranian Journal of Fuzzy Systems Vol. 6, No. 4, (2009) pp. 73-87
[4] A.B.Chakrabarty, S.S. Khare, Fuzzy homomorphism and-ffuzzy subgroups generated by fuzzy subset, FuzzySets and System 74(1995)259-268.
[5] A.Sheik Abdullah,K.Jeyaraman,Anti-Homorphism in Fuzzy Subgroups,International Journal of Computer Applications (0975-8887) Volume 12-No.December 2010
[7] A.B Chakrabarty and S.S.Khare, Fuzzy homomorphism and Algebraic Structures, Fuzzy Sets and System 59(1993)221- 221.
[8] DAE SIG KIM, Characteristic Fuzzy Groups, commun. Korean Math.Soc.18(2003),No.1,pp.21-29
[9] E.Roventa,T.Spircu,Group operations on fuzzy sets, Fuzzy Sets and Systems 120(2001)543-548
[10] Dr.Marudai,V.Rajendra,Characterization of Fuzzy Lattice on a group with respect to T-norms, International Journal of Computer Applications(0975-8887)volume 8-No.8 October 2010
Cites this article as
[Khadijatul Kobra , Mohammad Monirul Islam , Mr. Anowar Ullah
(2018), Algebraic Nature of Fuzzy Subgroups Under Homomorphism, International Journal of Innovative Research in Engineering & Management (IJIREM), Vol-5, Issue-4, Page No-143-145], (ISSN 2347 - 5552). www.ijirem.org
Corresponding Author
Khadijatul Kobra
General Education Department, Daffodil International University Dhaka, Bangladesh khadija.ged@daffodilvarsity.edu.bd
