Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applications

This analysis diagnoses a well-known and dominant theory of complex interval-valued intuitionistic uncertain linguistic (CI-VIUL) settings, which is considered to be a very powerful and capable tool to handle ambiguous sorts of theories. Furthermore, to enhance the features of the newly developed CI-VIUL information, we diagnose the algebraic laws, score value and accuracy value. Moreover, keeping in mind that the Heronian mean (HM) operator is a massive dominant operator that can suggest information on interrelationships, in this manuscript, we develop the CI-VIUL arithmetic HM (CI-VIULAHM) operator, CI-VIUL weighted arithmetic HM (CI-VIULWAHM) operator, CI-VIUL geometric HM (CI-VIULGHM) operator, CI-VIUL weighted geometric HM (CI-VIULWGHM) operator and their well-known achievements in the form of some results, important properties and a discussion of some specific cases. At the end, we check the practicality and usefulness of the initiated approaches, and a multi-attribute decision-making (MADM) technique is implemented for CI-VIUL settings. The reliability of the proposed MADM tool is demonstrated by a computational example that evaluates the impact of the diagnosed approaches on various well-known prevailing theories.