Possibilistic aggregations in the discrete covering problem: application in the problem of optimal choice of alternatives

  • Authors:

  • Gia Sirbiladze;Anna Sikharulidze;Bezhan Ghvaberidze

  • Affiliations:

  • I. Javakhishvili Tbilisi State University, Department of Exact and Natural Sciences, Tbilisi, Georgia;I. Javakhishvili Tbilisi State University, Department of Exact and Natural Sciences, Tbilisi, Georgia;I. Javakhishvili Tbilisi State University, Department of Exact and Natural Sciences, Tbilisi, Georgia

  • Venue:
  • AIKED'10 Proceedings of the 9th WSEAS international conference on Artificial intelligence, knowledge engineering and data bases
  • Year:
  • 2010

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Abstract

In this paper a new criterion is introduced for the discrete covering problem. In this criterion the a priori information represented by a possibility measure and a misbelief distribution on alternatives are condensed by aggregation instruments. Using the Dempster-Shafer belief structure and representations of a possibility measure through associated probabilities, a new criterion for discrete covering problem is constructed based on aggregation by the Most Typical Value (MTV), namely, Monotone Expectation (ME) (or Choquet integral). A bicriterial problem is obtained using a new criterion and the criterion of average price minimization. The example on the application of a new criterion is presented, where the possibility distribution on the optimal choice of the candidates (alternatives) is represented by expert valuations.