A projection-based approach to intuitionistic fuzzy group decision making

Abstract

Abstract. Group Decision Making (GDM) is usually used for solving complex decision problems, which is an important part of modern decision science. Weight of the Decision Maker (DM) plays an important role in the GDM process, and the projection-based approach is a comprehensive consideration between decision objects. It is a valuable work to determine the weights of DMs by a projection measurement. This paper investigates a GDM method based on projection measurement in an intuitionistic fuzzy environment. First, this article introduces an ideal decision among all individual decisions, and the weights of DMs are determined by using a projection measurement. Then, the individual decisions are aggregated into a collective decision. Finally, the preference order of alternatives is identi ed by using the score and accuracy function of the intuitionistic fuzzy numbers. In addition, a comparison with another GDM method is provided. Feasibility and practicability of the developed method are illustrated by an experimental analysis. The experimental result shows that the projection-based method is a high-resolution decision method.

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“…The relative closeness is composed of some separation measures between alternative decisions and the ideal decisions. As mentioned in the Introduction, the projection [58] is a more comprehensive measure than the distance measures. In this model, the separation measure will be replaced by the projection measure.…”