The minimum spanning tree problem with fuzzy costs

  • Authors:
  • Adam Janiak;Adam Kasperski

  • Affiliations:
  • Institute of Engineering Cybernetics, Wrocław University of Technology, Wrocław, Poland 50-370;Institute of Industrial Engineering and Management, Wrocław University of Technology, Wrocław, Poland 50-370

  • Venue:
  • Fuzzy Optimization and Decision Making
  • Year:
  • 2008

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Abstract

In this paper the minimum spanning tree problem in a given connected graph is considered. It is assumed that the edge costs are not precisely known and they are specified as fuzzy intervals. Possibility theory is applied to characterize the optimality of edges of the graph and to choose a spanning tree under fuzzy costs.