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Quantity change theorem and quality change theorem. (English) Zbl 1195.03051

Cao, Bing-yuan (ed.) et al., Fuzzy Information and Engineering 2010 (ACFIE 2010). Proceedings of the 5th annual conference, Huludao, China, September 23–27, 2010. Berlin: Springer (ISBN 978-3-642-14879-8/pbk; 978-3-642-14880-4/ebook). Advances in Intelligent and Soft Computing 78, 109-116 (2010).
Summary: 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 L. A. Zadeh [Inf. Control 8, 338–353 (1965; Zbl 0139.24606)].
See also the complete book review [Zbl 1202.94007].
For the entire collection see [Zbl 1202.94007].

MSC:

03E72 Theory of fuzzy sets, etc.
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