A lexicographic weighted Tchebycheff
formulation is used to discover solutions for the model.
KILGORE, A characterization of the Lagrange interpolating projection with minimal Tchebycheff
Jacobi, Legendre, Gegenbauer, and Tchebycheff
equations are special forms of this equation.
In view of Tchebycheff
inequality, they adopt an approximation approach, which is to replace Roy's disaster probability by its upper bound, to obtain an analytical solution.
In MOEA/D, several methods have been proposed for decomposing MOPs into a single-objective optimization subproblem, such as weighted sum method, Tchebycheff
method, and Penalty-based Boundary Intersection (PBI) method, but it was shown that the MOEA/D-PBI is only best for many-objective optimization problem in .
A new NBI-style Tchebycheff
approach has been adopted in  coping with portfolio optimization problems.
Tuomet perskaiciuojamas kiekvienas atsaku matricos elementas, o galutinis rangas suteikiamas remiantis Cebysevo (Tchebycheff
) metrika ir Min/Max metodu (Balezentis, Zeng 2013):
Hosseinzadeh Lotfi, "Ranking efficient DMUs using the Tchebycheff
norm," Applied Mathematical Modelling, vol.
In theory, weighted sum, Tchebycheff
approach, boundary intersection, and any other decomposition approach can be used to convert an MOP into a number of single-objective subproblems .