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http://dx.doi.org/10.5391/IJFIS.2006.6.1.085

UNION OF INTUITIONISTIC FUZZY SUBGROUPS  

Hur Kul (Research Institute for Basic Sciences Wonkwang University)
Kang Hee-Won (Dept. of Mathematics Education Woosuk University)
Ryou Jang-Hyun (Bong Young Girl's Middle School)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.6, no.1, 2006 , pp. 85-93 More about this Journal
Abstract
We study the conditions under which a given intuitionistic fuzzy subgroup of a given group can or can not be realized as a union of two proper intuitionistic fuzzy subgroups. Moreover, we provide a simple necessary and sufficient condition for the union of an arbitrary family of intuitionistic fuzzy subgroups to be an intuitionistic fuzzy subgroup. Also we formulate the concept of intuitionistic fuzzy subgroup generated by a given intuitionistic fuzzy set by level subgroups. Furthermore we give characterizations of intuitionistic fuzzy conjugate subgroups and intuitionistic fuzzy characteristic subgroups by their level subgroups. Also we investigate the level subgroups of the homomorphic image of a given intuitionistic fuzzy subgroup.
Keywords
intuitionistic fuzzy subgroup; level subgroup; intuitionistic fuzzy conjugate subgroup; intuitionistic fuzzy characteristic subgroup;
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  • Reference
1 Baldev Banerjee and Dhiren Kr. Basnet, Intuitionistic fuzzy subrings and ideals, J.Fuzzy Mathematics 11(1)(2003),139-155
2 P.Bhattacharya, Fuzzy subgroups: Some characterizations, J.Math. Anal. Appl.128(1987), 241-252   DOI
3 H.Gurcay, D. Coker and A.Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5(1997),365-378
4 K.Hur, S.Y.Jang and H.W.Kang, Intuitionistic fuzzy subgroups and cosets, Honam Math. J. 26(1) (2004), 17-41
5 K.Hur, Y.B.Jun and J.H.Ryou, Intuitionistic fuzzy topological groups, Honam Math.J.26(2)(2004),163-192
6 Wang-jin Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems 8(1982),133-139   DOI   ScienceOn
7 A.Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35(1971),512-517   DOI
8 P.S.Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl. 84(1981), 264-269   DOI
9 V.N.Dxit, S.K.Bhambri and P.Kumar, Union of fuzzy subgroups, Fuzzy Sets and Systems 78(1996), 121-123   DOI   ScienceOn
10 V.N.Dixit, R.Kumar and N.Ajmal, Level subgroups and union of fuzzy subgroups, Fuzzy sets and systems 37(1990),359-371   DOI   ScienceOn
11 L.A.Zadeh, Fuzzy sets, Inform. and Control 8(1965), 338-353   DOI
12 D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88(1997), 81-89   DOI   ScienceOn
13 K.Hur, S.Y.Jang and H.W.Kang, Intuitionistic fuzzy normal subgroups and intuitionistic fuzzy cosets, Honam Math.J.26(4)(2004),559-587
14 S.J.Lee and E.P.Lee, The category of intuitionistic fuzzy topological spaces, Bull. Korean Math. Soc. 37(1)(2000),63-76
15 K.Hur, H.W.Kang and H.K.Song, Intuitionistic fuzzy subgroups and subrings, Honam Math. J. 25 (1) (2003), 19-41
16 K.Hur, S.Y.Jang and H.W.Kang, Intuitionistic fuzzy subgroupoids, International Journal of Fuzzy Logic and Intelligent Systems 3 (1) (2003), 72-77   DOI   ScienceOn
17 K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1986), 87-96   DOI   ScienceOn
18 K.Hur, S.Y.Jang and H.W.Kang, Intuitionistic fuzzy subgroups and level subgroups, To submit
19 K.Hur, J.H.Kim and J.H.Ryou, Intuitionistic fuzzy topological spaces, J.Korea Soc.Math.Educ.Ser.B:Pure Appl. Math. 11 (3)(2004), 243-265   과학기술학회마을
20 D. Coker and A.Haydar Es, On fuzzy compactness in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 3(1995),899-909
21 R.Biswas, Intuitionistic fuzzy subgroups, Mathematical Forum x(1989)37-46