مهديس نجات نيا

Dynamic multi-criteria decision-making is a structured approach for eva‎luating and prioritizing alternatives based on criteria in situations where each decision element can change over time. This research examines dynamic multi-criteria decision-making, extending the principles of classical multi-criteria decision-making models with a focus on the temporal aspect and the changes in alternatives and their behaviors concerning criteria over time. In this context, two types of temporal changes are investigated: discrete and continuous. The proposed models for the discrete case include dynamic multi-criteria decision-making using fuzzy inference systems, dynamic multi-criteria decision-making utilizing data envelopment analysis, dynamic multi-criteria decision-making based on the principles of evidence theory, and dynamic multi-criteria decision-making using the ELECTRE III method. The integration of fuzzy inference systems allows for the estimation of future behaviors of alternatives through a structured process that utilizes imprecise information and linguistic expressions. The presence of linguistic terms introduces uncertainty into the model, which is addressed by applying belief measures derived from evidence theory principles. Another model presented in this research enables the simultaneous assessment of the relative efficiency of alternatives through data envelopment analysis while prioritizing them based on measurement criteria over time. The use of the ELECTRE III method enhances the ability to analyze dominance relationships among alternatives throughout successive decision-making periods. Furthermore, this research develops continuous dynamic multi-criteria decision-making models that account for ongoing changes in the behavior of alternatives, which are elements of the decision matrix. A novel definition of the goal of dynamic multi-criteria decision-making models is introduced. To address continuous changes in alternative behaviors, two methods -the simple weighted sum method and TOPSIS- are designed. All models presented in this research have been implemented in Iran's rail transport industry to tackle real issues based on actual data from this field.

تصميم‌گيري چندمعياره پويا , تغييرات زماني , سيستم استنتاج فازي , تئوري شواهد

Dynamic multi-criteria decision-making , temporal changes , fuzzy inference system , evidence theory

Mahdis Nejatnia

Ahmad Makui