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Frontiers of Computer Science

, Volume 12, Issue 2, pp 396–400 | Cite as

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
Correspondence
  • 44 Downloads

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 validate it with a numerical example.

Keywords

type-2 fuzzy set distance measure incorrect assertion counterexample 

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Notes

Acknowledgements

The authors are thankful to the Editor-in-Chief and the anonymous reviewers for their suggestions and helpful comments in revising the paper.

References

  1. 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): 741–752MathSciNetCrossRefGoogle Scholar
  2. 2.
    Mendel J M, John R I B. Type-2 fuzzcsactions on Fuzzy Systems, 2002, 10(2): 117–127CrossRefGoogle Scholar

Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of MathematicsThapar UniversityPatialaIndia

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