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MULTI-CRITERIA DECISION MAKING METHOD BASED ON BONFERRONI MEAN AGGREGATION OPERATORS OF COMPLEX INTUITIONISTIC FUZZY NUMBERS

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AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/jimo.2020069

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Bonferroni mean; multicriteria decision-making; aggregation operators; Complex intuitionistic fuzzy set; geometric operators

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This study introduces complex intuitionistic fuzzy sets and various operators, develops a decision-making method, and verifies the effectiveness and reliability of the approach through examples.
Complex intuitionistic fuzzy sets (CIFSs), characterized by complex-valued grades of membership and non-membership, are a general-ization of standard intuitionistic fuzzy (IF) sets that better speak to time-periodic issues and handle two-dimensional data in a solitary set. Under this environment, in this article, various mean-type operators, namely complex IF Bonferroni means (CIFBM) and complex IF weighted Bonferroni mean (CIFWBM) are presented along with their properties and numerous partic-ular cases of CIFBM are discussed. Further, using the presented operators a decision-making approach is developed and is illustrated with the help of a practical example. Also, the reliability of the developed methodology is in-vestigated with the aid of validity test criteria and the example results are compared with prevailing methods based on operators.

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