An outranking method for selecting the best gate security system using spherical fuzzy rough numbers

The priority of all organizations is to provide the best security setup to create awareness among the nation protection and safety. To solve this problem, a variety of multi-criteria decision-making methods are used. Individual expert assessment is a prerequisite for multi-criteria decision-making. The accuracy of the results is affected by the subjectivity of this review. Managing imprecision is a difficult task. The main goal of this study is to develop a new framework of spherical fuzzy rough number-based Criteria Importance Through Inter Criteria Correlation (CRITIC) method for calculation of criteria weights and spherical fuzzy rough number based-Weighted Aggregate Sum Product Assessment method for evaluation of the alternatives on the base of utility degree, representing another important multi-criteria decision-making technique that handles vagueness in a more adaptable manner. The flexible multi-criteria decision making called WASPAS combines the Weighted Product Model (WPM) and the Weighted Sum Model (WSM) to provide accurate ratings. Spherical fuzzy rough numbers reduce uncertainty by offering boundary intervals of membership, nonmembership and neutral membership functions and reduce ambiguity in more flexible manner. A numerical example to select best gate security system is solved using our proposed outranking method, which ranks options according to their degree of utility, from most to least preferred. Finally sensitivity analysis and comparison with other existing techniques are performed to verify the robustness of the proposed technique.