Quantity Change Theorem and Quality Change Theorem

  • Shouyu Chen
Conference paper
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 78)


Based on the theory of variable fuzzy sets, quantity change theorem and quality change theorem are first given according to opposite fuzzy sets and the definitions of a relative difference function and a relative proportion function. The research could make the variable fuzzy sets more systematic, complete and scientific, furthermore, which is the extending of classical fuzzy sets established by Zadeh (Zadeh 1965).


variable fuzzy sets opposite fuzzy sets relative difference function relative proportion function quantity change theorem and quality change theorem 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Shouyu Chen
    • 1
  1. 1.Dalian University of TechnologyWater Resources and Flood ControlDalianP.R. China

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