The use of the generalized logical criterion for approximation of the efficiency area in multiobjective optimization problems
Abstract
The use of the generalized logical criterion for approximation of the efficiency area in multiobjective optimization problems
Incoming article date: 10.11.2014Article considers a way of the solution of problems of a multicriteria choice and ranging on the basis of automatic calculation of weight coefficients of importance of private criteria by the principle of the guaranteed result with use of the generalized logical criterion of the maximum care. This way allows to consider additional qualitative information of the person making the decision in the form of a preference graph with the specifying coefficients. Received on the basis of the principle of the guaranteed result of value of weight coefficients possess property of uniformity. Solutions of optimizing tasks are provided in a type of final algorithms and analytical expressions taking into account the entered additional information. The analysis of this information and ways of its representation is described.
Keywords: decision making problem, multiobjective multicriteria optimization, qualitative additional information, guaranteed result, weighting coefficients, algorithms of weighting coefficients calculation