Individual Decision Support Reflecting Relations to Others

Abstract

In a group decision making problem, the group decision as a consensus of the members is usually more emphasized than the individual decisions in the group. However, in our public or private life, we often make decisions individually with others' help. In other words, the individual decision is not always completely independent of the others but affected by the others to some extend. This paper proposes the approach to derive the individual decision from a group of individual judgments. We consider two viewpoints: the preciseness of the obtained individual decision to the corresponding given judgment and the similarity of the individual decisions. The latter is an intersection of the individual decisions, and it is positive and negative when there is a common of all and not, respectively. We formulate the problem to obtain the individual decisions from a group of individual judgments as an LP problem with two degrees of preciseness and similarity. Both degrees are given so as independently to be suitable for the decision maker's preference and the decision problem. Since they have a trade-off relation, there is a Pareto optimal state. The obtained individual decision is supported by the others and is a more suitable one to the situation among the possible decisions derived from the intuitive individual judgment.