Abstract

The problem of the selection of an optimal decision from a set of finite number of alternatives is considered, when there is a single or multiple decision-makers present. In the single decision-maker case, the optimal decision is the one that satisfies pre-specified multiple objectives. A method is given to select the optimal decision based on membership grade. However, in the multiple decision-makers case, the problem of arriving at group decision, when each decision-maker gives his preference, has been discussed. Nevertheless, in both the situations decision-makers have the freedom to modulate their decision functions by some measure of their satisfaction or preference. Results from the theory of fuzzy sets have been applied to develop the solution methods for different situations. Illustrations are included to show the usage of the methodology.

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