Fuzzy covering problem based on the expert valuations

  • 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:
  • MMACTEE'09 Proceedings of the 11th WSEAS international conference on Mathematical methods and computational techniques in electrical engineering
  • Year:
  • 2009

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Abstract

A new approach in the set 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 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 covering average price minimization. The proposed approach is illustrated by an example.