In this article, we have pointed out that some propositions corresponding to the distance measure between the type-2 fuzzy sets (T2FSs) as provided by Singh (Frontiers of Computer Science, 2014, 8(5), 741–752), are incorrect by a counterexample. Further, these propositions have been corrected in the present manuscript by giving a correct relation between the T2FSs and validating it with a numerical example.
. [J]. Frontiers of Computer Science, 2018, 12(2): 396-400.
Sukhveer SINGH, Harish GARG. Comments on “Some new distance measures for type-2 fuzzy sets and distance measure based ranking for group decision making problems”. Front. Comput. Sci., 2018, 12(2): 396-400.
Singh P. Some new distance measures for type-2 fuzzy sets and distance measure based ranking for group decision making problems. Frontiers of Computer Science, 2014, 8(5): 741–752 https://doi.org/10.1007/s11704-014-3323-3
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Mendel J M, John R I B. Type-2 fuzzy sets made simple. IEEE Transactions on Fuzzy Systems, 2002, 10(2): 117–127 https://doi.org/10.1109/91.995115