Modeling of Decision Maker Under Imperfect Information

In real life, imperfect information is commonly present in all the components of the decision-making problem. In decision-making problems, a DM is almost never provided with perfect, that is, ideal decision-relevant information to determine states of nature, outcomes, probabilities, utilities, etc. We are known that relevant information almost always comes imperfect. Imperfect information is information in which one or more respects are imprecise, uncertain, incomplete, unreliable, vague, or partially true [1]. Two main concepts of imperfect information are imprecision and uncertainty. Imprecision is one of the widest concepts including variety of cases. We will discuss uncertainty concepts of imperfect information and its application for problem modeling of decision maker. In the first stage of the modeling, the identification determinants of a decision maker was implemented using Delphi method. The aim of the second stage consisted of the linguistic evaluation of the factors. At the final stages, decision-maker model was realized by using possibility–probability-based method and Dempster–Shafer theory-based model.