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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” |
Sukhveer SINGH, Harish GARG( ) |
| School of Mathematics, Thapar University, Patiala 147004, India |
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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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| Keywords
type-2 fuzzy set
distance measure
incorrect assertion
counterexample
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Corresponding Author(s):
Harish GARG
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Just Accepted Date: 14 December 2016
Online First Date: 20 December 2017
Issue Date: 23 March 2018
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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
https://doi.org/10.1007/s11704-014-3323-3
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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
https://doi.org/10.1109/91.995115
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