An FLP Complementary Slackness Theorem Based on Fuzzy Relationship

Conference paper
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 147)


In order to improve and spread FLP (fuzzy linear programming) duality theorem, this paper applies fuzzy relationship and fuzzy number theorem to the study of FLP duality theorem which is based on fuzzy relationship. It indicates that the important results of the fundamental concept and nature of the FLP duality problems and that classical LP problems can be spread in fuzzy linear programming based on fuzzy relationship; and it advances and proves the symmetry theorem and the complementary slackness theorem of DFLP, which provides theoretical basis of a lot of fuzzy optimization issues in the reality.


Fuzzy relationship fuzzy number fuzzy linear programming fuzzy duality 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.School of Mathematics and Quantitative EconomicsDongbei University of Finance and EconomicsDalianChina

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