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

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.

Keywords

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

References

[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

[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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