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

Title & Authors
SOME RESULTS ON D-ADMISSIBLE (Є, Є Vq)-Fuzzy SUBGROUPS
Kim, Dae-Sig;

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 ($\small{{\in},\;{\in}\;{\vee}q}$)-fuzzy subgroups such as an ($\small{{\in},\;{\in}\;{\vee}q}$)-fuzzy normal subgroup, an (<$\small{{\in},\;{\in}\;{\vee}q}$)-fuzzy characteristic subgroup, an (<$\small{{\in},\;{\in}\;{\vee}q}$)-fuzzy fully invariant subgroup which are invariant under D. As results, some of the fundamental properties of such ($\small{{\in},\;{\in}\;{\vee}q}$)-fuzzy subgroups are obtained.ﾖ⨀ᔌ넀؀㔷〮㔻Ԁ䭃䑎䷗ᜓ੹5㘰㬅K䍄乍숗ጊ㤀Ѐ㔷㔻Ԁ䭃䑎䴀
Keywords
($\small{{\in},\;{\in}\;{\vee}q}$)-fuzzy subgroup;($\small{{\in},\;{\in}\;{\vee}q}$)-level subset;operator domain;D-ADMISSIBLE ($\small{{\in},\;{\in}\;{\vee}q}$)-fuzzy subgroup;
Language
English
Cited by
References
1.
S. K. Bhakat, (${\in}\;{\nu}q$)–level subset, Fuzzy Sets and Systems 103 (1999), 529–533

2.
S. K. Bhakat, (${\in},\;{\in}\;{\nu}q$)-fuzzy normal, quasinormal and maximal subgroups, Fuzzy Sets and Systems 112 (2000), 299–312

3.
S. K. Bhakat and P. Das, On the definition of a fuzzy subgroup, Fuzzy Sets and Systems 51 (1992), 235–241

4.
S. K. Bhakat and P. Das, (${\in},\;{\in}\;{\nu}q$)-fuzzy subgroup, Fuzzy Sets and Systems 80 (1996), 359–368

5.
S. K. Bhakat and P. Das, Fuzzy subrings and ideals redefined, Fuzzy Sets and Systems 81 (1996), 383–393

6.
P. S. Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl. 85 (1981), 264–269

7.
V. N. Dixit, R. Kumar and N. Ajmal, Level subgroups and union of fuzzy subgroups, Fuzzy Sets and Systems 37 (1990), 359–371

8.
K. C. Gupta and B. K. Sarma, Operator domains on fuzzy groups, Inform. Sci. 84 (1995), 247–259

9.
D. S. Kim, (${\in},\;{\in}\;{\nu}q$)–fuzzy subgroups, Far East J. Math. Sci. 8 (2003), 161–172

10.
P. P. Ming and L. Y. Ming, Fuzzy topology 1: Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76 (1980), 571–599

11.
N. P. Mukherjee and P. Bhattacharya, Fuzzy normal subgroups and fuzzy cosets, Inform. Sci. 34 (1984), 225–239

12.
A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512–517

13.
F. I. Sidky and M. Atif Mishref, Fully invariant, characteristic, and S–fuzzy subgroups, Inform. Sci. 55 (1991), 27–33