Hybrid solution (HybSo) based on hybrids normalization and aggregation for the multi-criteria decision-making problems

Real-world decision making problems often dictates to take into account several point of view that are objectively conflictuel. Many studies were dedicated to provide decision makers with methods for solving this type of highly complex problems. In this paper, we propose a new hybrid multi-criteria decision making method with a new hybrid normalization and aggregation strategies. Mainly, the proposed method introduces a new hybrid normalization between the distance measure and the ratio system, and also uses two hybrid equations to compute the weighted performance of alternatives as to improve the stability of the method and the flexibility of the results. Moreover, hybrid aggregation rule based on exponential and logarithmic functions is proposed to establish the final ranking of the alternatives. To assess the performance of the proposed method, we used two real problems: the logistic provider selection problem and the evaluation of microclimate in an office problem. Comparative results with eight state-of-the-art multicriteria decision making methods and sensitivity analysis established its validity, in terms of performance and stability, for solving multi-criteria decision making problems.