Fuzzy Covering and Partitioning Problems Based on the Expert Valuations: Application in Optimal Choice of Candidates

نویسندگان

  • GIA SIRBILADZE
  • I. Javakhishvili
  • BEZHAN GHVABERIDZE
چکیده

A new approach in the discrete optimization (partitioning and covering) problems is presented based on the expert knowledge presentations. An a priori uncertain information on the alternatives is given by some probability distribution and an a priori certain information on the knowledge competitions is given by some weights. A new criterion is introduced for a minimal fuzzy covering or partitioning problem which is a minimal value of average misbelief in possible alternatives. A bicriterial problem is obtained using the new criterion and the criterion of minimization of average price of the covering or partitioning. The proposed approach is illustrated by an example for the partitioning problem. Key–Words: Minimal fuzzy covering or partitioning, Minimal compatibility level, Positive and negative discrimination measures, Average misbelief criterion, Bicriterial problem

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تاریخ انتشار 2009