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International Journal for Uncertainty Quantification
A NOTE ON “NOVEL SINGLE-VALUED NEUTROSOPHIC AGGREGATED OPERATORS UNDER FRANK NORM OPERATION AND ITS APPLICATION TO DECISION-MAKING PROCESS”
Nancy and Garg (Int J Uncertain Quan vol. 6, no. 4, pp. 361-375, 2016) proposed a single-valued neutrosophic Frank weighted averaging operator and a single-valued neutrosophic Frank weighted geometric aggregation operator. To show the validity of these operators, Nancy and Garg proved that these operators satisfy the idempotency, monotonicity and boundedness properties. After a deep study, it is observed that the statement and proof of the monotonicity property, proposed by Nancy and Garg, is not valid. Therefore, the aggregation operators, proposed by Nancy and Garg, are not valid.
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