每年出版 6 期
ISSN 打印: 2152-5080
ISSN 在线: 2152-5099
Indexed in
A NOTE ON "NOVEL SINGLE-VALUED NEUTROSOPHIC AGGREGATED OPERATORS UNDER FRANK NORM OPERATION AND ITS APPLICATION TO DECISION-MAKING PROCESS"
摘要
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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Mishra Akansha, Kumar Amit, Appadoo S.S., A note on “Novel scaled prioritized intuitionistic fuzzy soft interaction averaging aggregation operators and their application to multi criteria decision making”, Engineering Applications of Artificial Intelligence, 87, 2020. Crossref
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Mishra Akansha, Kumar Amit, Appropriate Weighted Averaging Aggregation Operator Under Some Extensions of the Fuzzy Environment, in Aggregation Operators for Various Extensions of Fuzzy Set and Its Applications in Transportation Problems, 399, 2021. Crossref