Repairing Infeasibility in Fuzzy Goal Programming

نویسندگان

  • Mariano Jiménez
  • Amelia Bilbao-Terol
  • Mar Arenas Parra
  • Maria Victoria Rodríguez Uría
چکیده

The problem of solving a multi-objective programming problem, by assuming that the decision maker has fuzzy goals for each of the objectives, is addressed. In this case a fuzzy goal programming problem has to be solved. But when we have several objectives it can be a difficult task for the decision maker to determine coherent aspiration levels, so it is possible that the tolerance thresholds be inconsistent with each other, therefore obtaining an infeasible problem. We present a procedure in order to repair the infeasibility. We rebuild the unattainable fuzzy goals keeping their relaxation levels as small as possible while maintaining, at the same time, a good balance vis-à-vis the degree of achievement of the others goals. Keywords—, Fuzzy goal programming, Goal programming, Infeasibility, Multi-objective programming.

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تاریخ انتشار 2009