Group decision theory with convex combination of fuzzy evaluations

  • Authors:
  • Marc Roubens

  • Affiliations:
  • Faculté Polytechnique de Mons, 9 rue de Houdain, 7000 Mons, Belgium

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1989

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Abstract

A multiple criteria decision problem involving a discrete set of alternatives A is investigated. Each alternative is characterized by a fuzzy evaluation to a given number of criteria weighted by fuzzy numbers. The classical mean aggregation procedure is exploited in order to: (i) isolate the smallest subset (called set of ''best'' elements) A"0 included in A liable to eliminate all alternatives belonging to A\A"0; (ii) rank the alternatives in various classes (being or not exclusive) using an antisymmetric fuzzy preference graph.