Comments on “Some new distance measures for type-2 fuzzy sets and distance measure based ranking for group decision making problems”

Sukhveer SINGH, Harish GARG

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PDF(236 KB)
Front. Comput. Sci. ›› 2018, Vol. 12 ›› Issue (2) : 396-400. DOI: 10.1007/s11704-016-6292-x
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Comments on “Some new distance measures for type-2 fuzzy sets and distance measure based ranking for group decision making problems”

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Abstract

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.

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type-2 fuzzy set / distance measure / incorrect assertion / counterexample

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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 https://doi.org/10.1007/s11704-016-6292-x

References

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[1]
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
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[2]
Mendel J M, John R I B. Type-2 fuzzy sets made simple. IEEE Transactions on Fuzzy Systems, 2002, 10(2): 117–127
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