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The main objective of this paper is to show an application of general systems thinking to decision theory. The search for isomorphic or homomorphic relations between decision criteria is fundamentally a new approach for clarifying and reconstructing decision models. Hence, the isomorphic relation between a linear decision criterion and an expected utility maximization criterion is established; then this isomorphism is used to characterize the former by the latter. The characterization is complete and the same approach can be applied to many other decision criteria.

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