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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2011 Issue 2, Pages 16–20 (Mi izkab635)

MATHEMATICS. MATHEMATIC MODELING

The problem of water use at hypergraphs with interval data

O. I. Shaposhnikova

North-Caucasional State Humanitarian-technological Academy, 369000, Cherkessk, 36, Stavropolskaya street

Abstract: The mathematic model of a problem of water use which is considered here is based on the mathematical apparatus of hypergraphs theory. The rib model allows considering as a single whole a source of water, the method of its purification and the settlement, where it is delivered. To each rib are attributed the weights, reflecting the economic and health-hygienic effect from the consumption of water from this source, by chosen method of cleaning and at exact locality.

Keywords: graph, hypergraph, criterion function, vector the criterion function, interval, fuzzy set, set of pareto.

UDC: 519.6

Received: 17.02.2011



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