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Mathematical theory of approximation of multi-dimensional bodies

The review of the mathematics (including algorithms) related to the method is provided in:

Alexander V. LOTOV

Comment to the paper by D.J.White

A characterization of the feasible set of objective function vectors in linear multiple objective problems

European Journal of Operational Research, 1996, 89(1).

Abstract

Results of 25 years of experience related to application of convolution methods due to J.B.Fourier for characterization of the feasible set in criterion space in linear multiple objective problems are described in short.
More detailed information is given in the book

A.V.Lotov, V.A.Bushenkov, and G.K.Kamenev

FEASIBLE GOALS METHOD: Mathematical Foundations and Environmental Applications

Lewiston, NY USA: The Edwin Mellen Press, 1999, 400 p., in Russian
Additional information on the book was prepared for you in English.

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