Abstract
Pythagorean fuzzy set is one of the successful extensions of the fuzzy set for handling uncertainties in information. Under this environment, in this paper, we introduce a new type of generalized fuzzy sets is called CR-fuzzy sets and compare CR-fuzzy sets with Pythagorean fuzzy sets and Fermatean fuzzy sets. The set operations, score function and accuracy function of CR-fuzzy sets will study along with their several properties.
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