A New MCGDM Technique to Detect Best Solar Panel Installation Provider Using Hybrid Aggregation Operator Under Triangular Neutrosophic Arena

This research work is conducted to propose a novel strategy of acceptable solution of multi -criteria group decision making (MCGDM) problems in triangular fuzzy neutrosophic number environment. The paper represents an innovative and acceptable strategy that is applicable in dealing with the situation of uncertainty, indecisiveness and contradictory information with the aid of triangular fuzzy neutrosophic numbers (TFNNs). In this article, we have analysed the applicability of arithmetic and geometric hybrid aggregation operations (AOs) in triangular fuzzy neutrosophic number (TFNN) environment by extending the operational principles of hybrid aggregation operators already proposed in single valued neutrosophic number environment (SVNN). We have proposed an innovative aggregation operator namely triangular fuzzy neutrosophic number hybrid weighted arithmetic geometric aggregation operator (TFNNHWAGA). We have illustrated some of its basic properties with proofs. The task of solar panel selection is very crucial in the acute situation of growing demand of solar energy as non-conventional power source. The task is quite difficult as there are so many solar panel installation companies in the market with a strong maketing competition between them. Our proposed TFNNHWAGA Operator in TFNN environment is of great help in dealing the situation significantly. We have illustrated a numerical example to figure out an innovative application of TFNNHWAGA to solve a MCGDM problem of selecting best solar panel installation company to illustrate the applicability and effectiveness of the proposed strategy dealing with contradictory criteria in uncertain environment. We have presented unique accuracy and score function for deneutrosophication purposes to select the best alternative out of four solar panel installation companies. We have compared the results with the results obtained using triangular fuzzy neutrosophic weighted arithmetic aggregation operator (TFNWAA) and triangular fuzzy neutrosophic weighted geometric aggregation operator (TFNWGA). Moreover We have presented a study on simulation of results and stability analysis by varying the criteria and decision-makers weight to authenticate the stability of the proposed strategy.