Algebraic solution to box-constrained bi-criteria problem of rating alternatives through pairwise comparisons

Nikolai Krivulin

Displaying similar documents to “Algebraic solution to box-constrained bi-criteria problem of rating alternatives through pairwise comparisons”

Consistency-driven approximation of a pairwise comparison matrix

Esther Dopazo, Jacinto González-Pachón (2003)

Kybernetika

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The pairwise comparison method is an interesting technique for building a global ranking from binary comparisons. In fact, some web search engines use this method to quantify the importance of a set of web sites. The purpose of this paper is to search a set of priority weights from the preference information contained in a general pairwise comparison matrix; i.e., a matrix without consistency and reciprocity properties. For this purpose, we consider an approximation methodology within...

Saddle points criteria via a second order $η$ -approximation approach for nonlinear mathematical programming involving second order invex functions

Tadeusz Antczak (2011)

Kybernetika

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In this paper, by using the second order $η$ -approximation method introduced by Antczak [3], new saddle point results are obtained for a nonlinear mathematical programming problem involving second order invex functions with respect to the same function $η$ . Moreover, a second order $η$ -saddle point and a second order $η$ -Lagrange function are defined for the so-called second order $η$ -approximated optimization problem constructed in this method. Then, the equivalence between an optimal solution...

Nonessential objective functions in linear multiobjective optimization problems

Agnieszka Malinowska (2006)

Control and Cybernetics

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Interactive multi-objective optimization for simulated moving bed processes

Jussi Hakanen, Yoshiaki Kawajiri, Kaisa Miettinen, Lorenz Biegler (2007)

Control and Cybernetics

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A second order $η$ -approximation method for constrained optimization problems involving second order invex functions

Tadeusz Antczak (2009)

Applications of Mathematics

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A new approach for obtaining the second order sufficient conditions for nonlinear mathematical programming problems which makes use of second order derivative is presented. In the so-called second order $η$ -approximation method, an optimization problem associated with the original nonlinear programming problem is constructed that involves a second order $η$ -approximation of both the objective function and the constraint function constituting the original problem. The equivalence between...

Displaying similar documents to “Algebraic solution to box-constrained bi-criteria problem of rating alternatives through pairwise comparisons”

Consistency-driven approximation of a pairwise comparison matrix

Saddle points criteria via a second order η -approximation approach for nonlinear mathematical programming involving second order invex functions

Nonessential objective functions in linear multiobjective optimization problems

Interactive multi-objective optimization for simulated moving bed processes

A second order η -approximation method for constrained optimization problems involving second order invex functions

Saddle points criteria via a second order $η$ -approximation approach for nonlinear mathematical programming involving second order invex functions

A second order $η$ -approximation method for constrained optimization problems involving second order invex functions