Journal
INFORMATION
Volume 9, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/info9090237
Keywords
fuzzy set; neutrosophic extended triplet group (NETG); complete NT-subgroup; homomorphism theorem; perfect neutrosophic extended triplet group
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Funding
- National Natural Science Foundation of China [61573240]
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Some homomorphism theorems of neutrosophic extended triplet group (NETG) are proved in the paper [Fundamental homomorphism theorems for neutrosophic extended triplet groups, Symmetry 2018, 10(8), 321; doi: 10.3390/sym10080321]. These results are revised in this paper. First, several counterexamples are given to show that some results in the above paper are not true. Second, two new notions of normal NT-subgroup and complete normal NT-subgroup in neutrosophic extended triplet groups are introduced, and their properties are investigated. Third, a new concept of perfect neutrosophic extended triplet group is proposed, and the basic homomorphism theorem of perfect neutrosophic extended triplet groups is established.
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