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Estimation of the linear convolution sensitivity of particular criteria during the expert determination of weight factors

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Abstract

A method for solving the problems of multicriterion optimization on the basis of the use of aggregated criterion in the form of the linear convolution of particular criteria, where the weight factors are obtained by ranking the particular criteria by their significance degree, is discussed. A procedure that allows one to estimate a change in the optimal solution with the elementary variation of expert judgments is proposed. A numerical example is presented.

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References

  1. Nogin, V.D., Prinyatie reshenii v mnogokriterial’noi srede: kolichestvennyi podkhod (Making the Solutions in Multicriterion Envisonment: Quantitative Approach), Moscow: FIZMATLIT, 2005.

    Google Scholar 

  2. Podinovskii, V.V. and Nogin, V.D., Pareto-optimal’nye resheniya mnogokriterial’nykh zadach (Pareto Optimal Solutions of Multicriterion Problems), Moscow: Fizmatlit, 2007.

    Google Scholar 

  3. Petrovskii, A.B., Teoriya prinyatiya reshenii (Solution Making Theory), Moscow: Izdatel’skii tsentr “Akademiya”, 2009.

    Google Scholar 

  4. Litvak, B.G., Ekspertnye tekhnologii v upravlenii (Expert Technologies in Controlling), Moscow: Delo, 2004.

    Google Scholar 

  5. Anokhin, A.M, Methods of defining the criteria importance coefficients, Autom. Remote Contr., 1997.

    Google Scholar 

  6. Vovchenko, A.I., Automation of the estimation and prediction of the technical state of railwail wheel pairs, Inf. Sys. Tech., 2010, no. 4, pp. 95–99.

    Google Scholar 

  7. Lomazov, V.A., Informtion modeling and computer selection of projects in mining area, BSU, Scient. Bull. History, Political Science, Economics, Information Technologies, 2011, vol. 1, no. 96, pp. 158–162.

    Google Scholar 

  8. Dmitriev, M.G., Approximate solution of the optimization problem for the linear convolution of most criteria on the basis of small parameter, Technol. Technosphere Safety, http://ipb.mos.ru/ttb, vol. 3, no. 31.

  9. Dmitriev, M.G., Direct scheme in optimal control problems with fast and slow motions, Systems and Control Letters. North Holland, 1986, vol. 8, no. 2, pp. 129–135.

    Article  MATH  MathSciNet  Google Scholar 

  10. Dmitriev, M.G., Singular disturbances on control problems. Review of 1982–2004, Autom. Remote Contr., 2006.

    Google Scholar 

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Correspondence to M. G. Dmitriev.

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Original Russian Text © M.G. Dmitriev, V.A. Lomazov, 2014, published in Iskusstvennyi Intellekt i Prinyatie Reshenii, 2014, No. 1, pp. 52–56.

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Dmitriev, M.G., Lomazov, V.A. Estimation of the linear convolution sensitivity of particular criteria during the expert determination of weight factors. Sci. Tech.Inf. Proc. 41, 400–403 (2014). https://doi.org/10.3103/S0147688214060033

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  • DOI: https://doi.org/10.3103/S0147688214060033

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