Intuitionistic principal value Z-linguistic hybrid geometric operator and their applications for multi-attribute group decision-making

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Abstract

Problems often encountered in the modeling of uncertain linguistic multi-attribute group decision-making in targeted poverty alleviation are how to describe and aggregate uncertain and imprecise information more effectively. In this paper, in order to effectively describe the fuzziness and reliability of linguistic evaluation information, and emphasize the role of linguistic evaluation value, we firstly propose this concept of the intuitionistic principal value Z-linguistic set. Then, we propose intuitionistic principal value Z-linguistic hybrid geometric operator regarding the position and ordered weight to aggregate linguistic evaluation information more effectively. Finally, an example of targeted poverty alleviation is given to illustrate effectiveness and superiority based on the operator with different position weights.

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