Abstract
Multicriteria sorting problem arises, among other things, when it is necessary to construct the base of Decision Maker’s rules for a classification/diagnostic Decision Support System (DSS). Advantages and drawbacks of existing methods for multicriteria sorting based on the Verbal Decision Analysis are analyzed. To overcome such drawbacks, it is proposed to apply to multicriteria sorting the main features of the VDA-based STEPCLASS method.
Similar content being viewed by others
References
Zopounidis, C. and Doumpos, M., Multicriteria classification and sorting methods: A literature review, Eur. J. Oper. Res., vol. 138, no. 2, pp. 229–246.
von Neumann, J. and Morgenstern, O., Theory of Games and Economic Behavior, Princeton: Princeton University Press, 1947, ed. 2.
Keeney, R. and Raiffa, H., Decisions with Multiple Objectives: Preferences and Value Tradeoffs, New York: J. Wiley, 1976.
Jacquet-Lagrueze, E. and Siskos, Y., Assessing a set of additive utility functions for multicriteria decision making: The UTA method, Eur. J. Oper. Res., 1982, vol. 10, pp. 151–164.
Roy, B., A multicriteria analysis for trichotomic segmentation problems, Operational Methods, Nijkamp, P., and Spronk, J., Farnborough: Gower Press, 1981, pp. 245–257.
Roy, B. and Bouyssou, D., Aide Multicritere a la Decision: Methodes et Cas, Paris: Economica, 1993.
Figueira J., Mousseau, V., and Roy, B. Electre methods, Multiple Criteria Decision Analysis: State of the Art Surveys, Figueira, J., Greco, S., and Ehrgott, M., Eds., Boston: Springer-Verlag, 2005, pp. 133–162.
Greco, S., Matarazzo, B., and Slowinski, R., A new rough set approach to evaluation of bankruptcy risk, Operational Tools in the Management of Financial Risks, Zopounidis, C., Ed., Kluwer Academic Publishers, Dordrecht, 1998, pp. 121–136.
Greco, S., Matarazzo, B., and Slowinski, R., Rough sets methodology for sorting problems in presence of multiple attributes and criteria, Eur. J. Oper. Res., vol. 138, 2002, pp. 247–259.
Greco, S., Matarazzo, B., and Slowinski, R., Decision rule approach, Multiple Criteria Decision Analysis: State of the Art Surveys, Figueira, J., Greco, S., and Ehrgott, M., Eds., Boston; Springer-Verlag, 2005, pp. 507–562.
Greco, S., Dominance-based rough set approach for decision analysis–a tutorial, Lect. Notes Comput. Sci., 2008, vol. 5009, pp. 23–24.
Zadeh, L., Fuzzy sets, Inf. Control, 1965, vol. 8, pp. 338–353.
Larichev, O.I. and Moshkovich, E.M., Kachestvennye metody prinyatiya reshenii (Qualitative Methods of Decision-Making), Moscow: Fizmatlit, 1996.
Ashikhmin, I., Furems, E., Petrovsky, A., and Sternin, M., Intelligent DSS under Verbal Decision Analysis. Encyclopedia of Decision Making and Decision Support Technologies, 2 vols., Adam, F. and Humphreys, P., New York: Hershey, 2008, vol. 2.
Larichev, O.I., Moshkovich E.M., and Furems, E.M., Decision support system “Class,” New Direction in Research on Decision Making, Lourenc, P. and Svenson, G., Eds., Amsterdam: North-Holland, 1986, pp. 305–315.
Larichev, O.I., Mechitov, A.I., Moshkovich, E.M., and Furems, E.M., Vyyavlenie ekspertnykh znanii (Identification of Expert Knowledge), Moscow: Nauka, 1989.
Larichev, O.I., Moshkovich, H.M., Furems, E.M., Mechitov, A.I., and Morgoev, V.K., Knowledge Acquisition for the Construction of the Full and Contradiction Free Knowledge Bases. Iec ProGAMMA, Groningen, 1991.
Larichev, O., Kochin, D., and Kortnev, A., Decision Support System for Classification of a Finite Set of Multicriteria Alternatives. Decision Support Systems, 2002, pp. 13–21.
Larichev, O.I. and Bolotov, A.A., The DIFKLASS system: Construction of Complete and Non-contradictory expertise databases in problems of differential diagnosis, Nauchn.-Tekhn. Inform., Ser. 2. Protsessy Sist., 1996, pp. 9–15.
Asanov, A.A. and Kochin, D.Yu., The method for identifying the decision rules in expert classification problems, Iskusstv, Intell., 2002, pp. 20–21.
Larichev, O., Asanov, A., and Naryzhny, Y., Effectiveness evaluation of expert classification methods, Eur. J. Oper. Res., 2002, vol. 138, no. 2, pp. 260–273.
Larichev, O., Asanov, A., Naryzhny, Ye., and Strahov, S., ESTHER–expert system for the diagnostics of acute drug poisoning, Applications and Innovations in Intelligent Systems IX. Proceedings of the 21 SGES International Conference on Knowledge Based Systems and Applied Artificial Intelligence, Macintosh, A., Moulton, M., and Preece, A., Eds., Cambridge: UK, SpringerVerlag, 2001, pp. 159–168.
Kochin, D.Yu., The system of implicit learning the diagnosis of acute myocardial infarction, Tr. ISA RAN, 2005, vol. 12b, pp. 26–42.
Simon, H., The New Science of Management Decision, New York: Harper and Row, 1960.
Furems, E.M., The modified method for expert nominally-serial classification, Iskusstv. Intell. Prinyat. Reshenii, 2010, vol. 4, pp. 81–93.
Furems, E.M. and Gnedenko, L.S., STEPCLASS–a system for expertise knowledge extraction and expertise to solve diagnostic problems, Nauchn.-Tekhn. Inform., Ser. 2. Protsessy Sist., 1996, vol. 9, pp. 16–20.
Furems, E.M., Structuring of classification knowledgebased problems, Inf. Techn. Vyschisl. Sist., 2007, vol. 3, pp. 7–17.
Furems, E.M., Domain structuring for knowledgebased multiattribute classification (A verbal decision analysis approach), TOP, Springer Berlin Heidelberg, 2007, vol. 19, pp. 402–420.
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Russian in Iskusstvennyi Intellekt i Prinyatie Reshenii, 2012, No. 4, pp. 104–115.
The article was translated by the author.
About this article
Cite this article
Furems, E.M. Stepclass-based approach to multicriteria sorting. Sci. Tech.Inf. Proc. 42, 481–489 (2015). https://doi.org/10.3103/S0147688215060064
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0147688215060064