A New Approach to Fuzzy Constraints in Linear Programming

  • Joanna Banaś
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 19)


In the article it is described a new proposal of the transformation of fuzzy constraints in linear programming problem with fuzzy coefficients for hard constraints using triparametric approach. As regards constraint coefficients, it is assumed that they are flat fuzzy numbers on the L-R representation. The method is a trial of generalization of possibilistic approach based on the Zadeh’s extension principle so that the nature of interpretation of fuzzy inequality can be graduated from the most optimistic to the most pessimistic interpretation. The proposed parameters of feasibility enable the person who decides to differentiate preferences in relation to particular constraints.


Membership Function Fuzzy Number Linear Programming Problem Fuzzy Optimization Fuzzy Linear Programming 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Joanna Banaś
    • 1
  1. 1.Faculty of Computer Science & Information SystemsTechnical University of SzczecinSzczecinPoland

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