Agricultural land selection by using multicriteria group decision-making based on rough intuitionistic Fuzzy frank power operations

The agricultural industry plays a vital role in the progress of any agrarian country. So, the utilization of land is a challenging task for agricultural engineers. It is challenging for agrarian engineers to determine the suitability of different land types for various crops. In this critical situation, the multicriteria group decision-making (MCGDM) technique plays a significant role in decision-making (DM). For the solution of these problems, by using intuitionistic fuzzy rough (IFR) set (IFRS) theory, Frank operation, along with power aggregation operators (PAOs), analyzed a new family of aggregation operators (AOs) called IFR Frank power weighted averaging (IFRFPWA), IFR frank power ordered weighted averaging (IFRFPOWA), IFR frank power ordered hybrid averaging (IFRFPHWA), IFR frank power weighted geometric (IFRFPWG), IFR frank power ordered weighted geometric (IFRFPOWG), IFR frank power ordered hybrid geometric (IFRFPHWG) operators. Also, some necessary axioms are known as boundedness, monotonicity, and idempotency. To highlight the significance of the diagnosis approach, illustrate a detailed real-life numerical problem. To check the applicability of the proposed work, compare it with other existing AOs, and discuss the sensitivity analysis of the proposed model. At the end, provide solid conclusions and explain the limitations of the proposed model and future direction.