On characterization of the hypercenters of fuzzy groups

K.O. Grin (Oles Honchar Dnipropetrovsk National University)

Abstract


We continue the study of the properties of the upper central series for arbitrary fuzzy group. More precisely, a quite explicit description of the members of the upper central series has been obtained.

Keywords


fuzzy group; upper central series; second hypercenter; upper hypercenter

Full Text:

PDF

References


Asaad M., Abou-Zaid S. "Fuzzy subgroups of nilpotent groups", Fuzzy Sets and Systems, 1993; 24: pp. 321-323. doi:10.1016/0165-0114(93)90442-K

Gupta K.C., Sarma B.K. "Nilpotent fuzzy groups", Fuzzy Sets and Systems, 1999; 101(1): pp. 167-176. doi:10.1016/S0165-0114(97)00067-5

Kim J.G. "Commutative fuzzy sets and nilpotent fuzzy groups", Information Sciences, 1995; 83: pp. 161-174. doi:10.1016/0020-0255(94)00082-M

Kurdachenko L.A., Grin K.O., Turbay N.A. "On hypercentral fuzzy groups", Algebra and Discrete Mathematics, 2012; 13(1): pp. 92-106.

Mordeson J.N., Bhutani K.R., Rosenfeld A. Fuzzy Group Theory, Springer-Verlag, Berlin, Heidelberg, 2005. doi:10.1007/b12359




DOI: https://doi.org/10.15421/241311

  

Refbacks

  • There are currently no refbacks.


Copyright (c) 2013 K.O. Grin

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


Registered in

More►


ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
DNU