Abstract
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).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Chen, S.Y.: The theory and application of engineering fuzzy sets. National Defence Industry Press, BeiJing City (1998) (in chinese)
Chen, S.Y.: Philosophical foundation of variable fuzzy sets theory. Journal of Dalian University of Technology (Social Sciences) 26(1), 53–57 (2005) (in chinese)
Chen, S.Y.: Theories and Method of Variable Fuzzy Sets in Water Resources and Flood System. The publishing house of Dalian University of Technology, Da Lian (2005) (in chinese)
Chen, S.Y.: Theory and model of engineering variable fuzzy set –Mathematical basis for fuzzy hydrology and water resources. Journal of Dalian University of Technology 45(2), 308–312 (2005) (in chinese)
Chen, S.Y., Guo, Y.: Variable fuzzy sets and its application in comprehensive risk evaluation for flood-control engineering system. Fuzzy Optim. Decis. Making 5, 153–162 (2006)
Zadeh, L.A.: Fuzzy sets. Information and control 8(3), 338–353 (1965)
Chen, S.Y.: Qualitative change and quantity. Theorem based on variable fuzzy sets - On the Pair Analysis Set 39(11), 195–201 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chen, S. (2010). Quantity Change Theorem and Quality Change Theorem. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-14880-4_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14879-8
Online ISBN: 978-3-642-14880-4
eBook Packages: EngineeringEngineering (R0)