Preferences aggregation at variable criteria importance

System analysis, control and data processing


Аuthors

Redko A. O.*, Smerchinskaya S. O.*, Yashina N. P.*

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: dep805@mai.ru

Abstract

We consider the problem of choosing the optimal alternative options. Selection is based on aggregation of criteria preference when weighting criteria importance coefficients are variables. Preferences by criteria are set a numeric evaluation of alternatives, and the criteria scale may be non-uniform. This article describes a technique developed by the authors consistent aggregation of criteria preferences, taking into account the importance of criteria that enables ranging alternatives by the preference and / or make a choice of optimal alternatives.

Of particular interest is the method of calculating the variables of criteria importance coefficients based on the preferences of the person receiving the decision maker (DM). In the process of dialogue with decision-makers identified vector estimation equivalent alternatives, which are then approximated by a curve of indifference. Previously developed algorithm allows you to find the constant coefficients of the importance of criteria by conducting approximation points equivalence alternatives straight indifference. This article points the equivalent alternatives approximated curve, which allows to take into account the preferences and decision-makers of the importance coefficients can vary with changes in the alternatives assessment.

The algorithm is demonstrated by the purchase of passenger aircraft aviation transport company. In the example we have assumed that when choosing aircraft economy class the most important are criteria such as price, reliability of operation, the cost of after-sales service.

Keywords:

decision-making, multi-criteria choice, preference relations, ranging, aggregate preference, majority graph, criteria importance coefficients, equivalence-indifference points

References

  1. Smerchinskaja S.O., Jashina N.P. Vestnik Moskovskogo aviatsionnogo instituta, 2013, vol. 20, no. 2, pp. 219-225.

  2. Smerchinskaja S.O., Jashina N.P. Trudy MAI, 2015, no. 84, avaible at: http://www.mai.ru/science/trudy/published.php?ID=63146.

  3. Podinovskij V.V. Vvedenie v teoriyu vazhnosti kriteriev v mnogokriterial’nykh zadachakh prinyatiya reshenii (Introduction to the Theory of importance of criteria in multicriteria decision problems), Moscow, Fizmatlit, 2007, 64 p.

  4. Larichev O.I. Teoriya i metody prinyatiya reshenii (Theory and methods of decision making), Moscow, Logos, 2002, 392 p.

  5. Keeney R.L., Raiffa H. Prinyatie reshenii pri mnogikh kriteriyakh: predpochteniya i zameshcheniya (Decisions with Multiple Objectives: Preferences and Value Tradeoffs), Moscow, Radio i svyaz’, 1981, 560 p.


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