Comments on crucial and unsolved problems on Atanassov’s intuitionistic fuzzy sets
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In the paper Crucial and unsolved problems on Atanassov’s intuitionistic fuzzy sets, D.-F. Li pointed out that some kind of definitions of operations over Atanassov’s intuitionistic fuzzy sets are incorrect. We can see that, near 30 years after the first Atanassov’s papers, there exist some misunderstandings related not only on the name, but also on the basic operations on IFSs. Those misunderstandings concern, this time, on the operations of the sum and product. Li also casts doubt the equivalence of the intuitionistic fuzzy sets and the interval-valued fuzzy sets. In this paper, the Li’s reasoning is presented and commented.
KeywordsIntuitionistic fuzzy sets (IFSs) Operations on IFSs Extension principle for IFSs Interval-valued fuzzy sets
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Conflict of interest
Author P. Dworniczak declares that he has no conflict of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
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