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http://dx.doi.org/10.4134/BKMS.2004.41.4.723

SOME RESULTS ON D-ADMISSIBLE (Є, Є Vq)-Fuzzy SUBGROUPS

Kim, Dae-Sig (Department of Mathematics, Dongshin University)

Publication Information

Bulletin of the Korean Mathematical Society / v.41, no.4, 2004 , pp. 723-730 More about this Journal

Abstract

The definition of a D-admissible fuzzy subset for an operator domain D on a group G is modified to obtain new kinds of ( ${\in},\;{\in}\;{\vee}q$ )-fuzzy subgroups such as an ( ${\in},\;{\in}\;{\vee}q$ )-fuzzy normal subgroup, an (< ${\in},\;{\in}\;{\vee}q$ )-fuzzy characteristic subgroup, an (< ${\in},\;{\in}\;{\vee}q$ )-fuzzy fully invariant subgroup which are invariant under D. As results, some of the fundamental properties of such ( ${\in},\;{\in}\;{\vee}q$ )-fuzzy subgroups are obtained.

Keywords

( ${\in},\; {\in}\; {\vee}q$ )-fuzzy subgroup; ( ${\in},\; {\in}\; {\vee}q$ )-level subset; operator domain; D-ADMISSIBLE ( ${\in},\; {\in}\; {\vee}q$ )-fuzzy subgroup;

Citations & Related Records

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