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ISSUE:	Almanac of Modern Science and Education. 2015. Issue 6
COLLECTION:	Technical Sciences
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DETERMINATION OF a-LEVEL OF PLAYERS FOR SEARCH OF EQUILIBRIUM SOLUTION OF FUZZY GAMES

Svetlana Pavlovna Vovk
Southern Federal University

Submitted: June 1, 2015

Abstract. Game serves as an alternative to the problem of fuzzy linear programming, in which search for equilibrium solution is sought as the intersection of clear relations at the level of players at the corresponding binary relations of total ordering. For the class of multi-criterion problems not the reduction of assessments according to individual grounds is preferable, but the direct consideration of integrated assessment on the basis of the aggregated preferences of the player. To take into account the preferences of the player a model is developed that allows finding the threshold of zones separation subject to assessments according to a number of criteria.

Key words and phrases:

доминирование в условиях ограниченной информации

степень разделения нечетких множеств

порог разделения классов

уровневые подмножества

нечеткая стратегия

нечетко недоминирующие альтернативы

dominance in conditions of limited information

degree of separation of fuzzy sets

threshold of classes separation

leveled subsets

fuzzy strategy

fuzzy non-dominant alternatives

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References:

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Вовк С. П. Ситуационное управление и нечеткие игры в моделировании организационных систем: монография. Таганрог: Изд-во ТРТУ, 2002. 96 с.
Леунг Й. Разделение на торговые зоны в нечетких условиях // Теория возможностей и ее применение. М.: Наука, 1992.
Ragade R. К. Fuzzy Games in the Analysis of Options // Journal of Cybernetics. 1976. Vol. 6. P. 213-221.

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