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Formalization of the decision‐making process in vague conditions is urgent not only in studying man's function in a man‐machine system, but in designing the informational exchange conditions between the operator and the information computer which works like an adviser. On the basis of Zadeh's fuzzy sets notion a linguistically conceivable estimate of vague system conditions is proposed. An algorithm for informational exchange in a man‐machine system is developed as a step in adapting the machine computation facilities to man's intellectual abilities. This algorithm is used for designing a man‐machine dialogue for decision‐making processes. A possible application to a distribution power system (decision‐making for exchange power) is pointed out.

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