Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2003; 18(1): 21-29

Printed March 1, 2003

Copyright © The Korean Mathematical Society.

Characteristic fuzzy groups

Dae Sig Kim

Dongshin University

Abstract

In this paper, we define the notion of a characteristic fuzzy subgroup which is the analogue of a characteristic group in the ordinary group theory and derive various new ones from a given characteristic fuzzy subgroup.

Keywords: fuzzy subgroup, level subgroup, fuzzy subgroup generated by a fuzzy set, commutator fuzzy subgroup, characteristic fuzzy subgroup

MSC numbers: 20N25

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