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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"
School of Mathematics, Thapar Institute of Engineering and Technology Patiala, Punjab, India
Nancy and Garg (Int. J. Uncertain. Quan., 6(4):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, they 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 as for a valid aggregation operator, the monotonicity property should necessarily be satisfied.
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