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http://dx.doi.org/10.5391/IJFIS.2009.9.1.053

INTUITIONISTIC FUZZY NORMAL SUBGROUP AND INTUITIONISTIC FUZZY ⊙-CONGRUENCES  

Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Tecchnology Institute, Wonkwang University)
Kim, So-Ra (Division of Mathematics and Informational Statistics, and Nanoscale Science and Tecchnology Institute, Wonkwang University)
Lim, Pyung-Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Tecchnology Institute, Wonkwang University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.9, no.1, 2009 , pp. 53-58 More about this Journal
Abstract
We unite the two con concepts - normality We unite the two con concepts - normality and congruence - in an intuitionistic fuzzy subgroup setting. In particular, we prove that every intuitionistic fuzzy congruence determines an intuitionistic fuzzy subgroup. Conversely, given an intuitionistic fuzzy normal subgroup, we can associate an intuitionistic fuzzy congruence. The association between intuitionistic fuzzy normal sbgroups and intuitionistic fuzzy congruences is bijective and unigue. This leads to a new concept of cosets and a corresponding concept of guotient.
Keywords
intuitionistic fuzzy normal subgroup; intuitionistic fuzzy congruence;
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Times Cited By KSCI : 5  (Citation Analysis)
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