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 validate it with a numerical example.
type-2 fuzzy set distance measure incorrect assertion counterexample
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The authors are thankful to the Editor-in-Chief and the anonymous reviewers for their suggestions and helpful comments in revising the paper.
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): 741–752MathSciNetCrossRefGoogle Scholar