Difficult decisions and problems arise in almost all areas of human activities.In most tasks,the choice of the best alternatives is produced on the basis of task of numeral estimations of alternatives on the criteria ...Difficult decisions and problems arise in almost all areas of human activities.In most tasks,the choice of the best alternatives is produced on the basis of task of numeral estimations of alternatives on the criteria of quality.The article considers the problem of multi-criteria choice with nonuniform scales of criteria.Algorithm for pairwise comparison of alternatives,based on the construction of the criteria preference matrices,containing information on the degree of superiority of one alternative over another,is offered.Transitivity of aggregated relation,built for two criteria,is proved.The results,obtained using the method of additive convolution and the proposed algorithm,are compared.展开更多
The problem of decision-making when evaluating alternatives according to several quality criteria is considered. Information is used about the pairwise comparison of alternatives by criteria: how many times one alte...The problem of decision-making when evaluating alternatives according to several quality criteria is considered. Information is used about the pairwise comparison of alternatives by criteria: how many times one alternative is preferable to the other. The criteriamay have nonuniform scales. The method to form preferences matrices for representing numerical estimates of alternatives in attitude scales is proposed. The properties ofthe constructed relation are investigated. The algorithms for constructing the relationwith the minimum distance from the preferences by criteria are developed. An algorithm for constructing an aggregated relation based on the summation of preferencesby criteria is developed. Aggregate relation depends on the method of specifying thedistance between the matrices of preferences. The proposed algorithms for constructing an aggregated relation can use coefficients of importance of criteria. The methodcan be applied in collective choice problems when assigning estimates to alternativesby experts. A comparison of the proposed algorithms with each other and with knowndecision-making methods is carried out. The software system of multi-criteria choiceis developed. The task of choosing start-up projects for the purpose of investing by aventure fund has been solved.展开更多
文摘Difficult decisions and problems arise in almost all areas of human activities.In most tasks,the choice of the best alternatives is produced on the basis of task of numeral estimations of alternatives on the criteria of quality.The article considers the problem of multi-criteria choice with nonuniform scales of criteria.Algorithm for pairwise comparison of alternatives,based on the construction of the criteria preference matrices,containing information on the degree of superiority of one alternative over another,is offered.Transitivity of aggregated relation,built for two criteria,is proved.The results,obtained using the method of additive convolution and the proposed algorithm,are compared.
文摘The problem of decision-making when evaluating alternatives according to several quality criteria is considered. Information is used about the pairwise comparison of alternatives by criteria: how many times one alternative is preferable to the other. The criteriamay have nonuniform scales. The method to form preferences matrices for representing numerical estimates of alternatives in attitude scales is proposed. The properties ofthe constructed relation are investigated. The algorithms for constructing the relationwith the minimum distance from the preferences by criteria are developed. An algorithm for constructing an aggregated relation based on the summation of preferencesby criteria is developed. Aggregate relation depends on the method of specifying thedistance between the matrices of preferences. The proposed algorithms for constructing an aggregated relation can use coefficients of importance of criteria. The methodcan be applied in collective choice problems when assigning estimates to alternativesby experts. A comparison of the proposed algorithms with each other and with knowndecision-making methods is carried out. The software system of multi-criteria choiceis developed. The task of choosing start-up projects for the purpose of investing by aventure fund has been solved.
