On certain properties of fuzzy group product operation

V.A. Chupordia (Oles Honchar Dnipropetrovsk National University)
A.S. Markovs'ka (Oles Honchar Dnipropetrovsk National University)

Abstract


Dedekind's modular law plays a very important role in abstract group theory. We prove modular law for fuzzy groups and obtain conditions for a fuzzy subgroup to have a direct complement.

Keywords


group; fuzzy group; Dedekind's modular law; direct complement

References


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

Rosenfeld A. "Fuzzy groups", J. Math. Anal. Appl., 1971; 35: pp. 512-517. doi:10.1016/0022-247X(71)90199-5

Ajmal N., Thomas K.V. "The lattices of fuzzy subgroups and fuzzy normal subgroups", Inform. Sci., 1994; 76: pp. 1-11. doi:10.1016/0020-0255(94)90064-7

Ajmal N. "The Lattice of Fuzzy Normal Subgroups is Modular", Inform. Sci., 1995; 83: pp. 199-209. doi:10.1016/0020-0255(94)00074-L




DOI: https://doi.org/10.15421/241319

  

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Copyright (c) 2013 V.A. Chupordia, A.S. Markovs'ka

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