Abstract
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.
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Xin, L. (2012). An FLP Complementary Slackness Theorem Based on Fuzzy Relationship. In: Cao, BY., Xie, XJ. (eds) Fuzzy Engineering and Operations Research. Advances in Intelligent and Soft Computing, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28592-9_22
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DOI: https://doi.org/10.1007/978-3-642-28592-9_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28591-2
Online ISBN: 978-3-642-28592-9
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