Title :
Countable Nested Sets and Fuzzy Series
Author_Institution :
Coll. of Inf. Sci. & Technol., Beijing Normal Univ., Beijing, China
Abstract :
Fuzzy set theory becomes more popular in recent years duo to its simplicity in modeling and effectiveness in control problems. In this paper, we introduce the concepts of countable dense subset of (0, 1) and countable nested sets. Based on the countable nested sets, we propose countable decomposition theorem and countable representation theorem for fuzzy set and use them to investigate fuzzy series and its convergence.
Keywords :
fuzzy set theory; countable dense subset; countable nested sets; fuzzy set theory; Convergence; Decision making; Educational institutions; Engineering profession; Fuzzy control; Fuzzy set theory; Fuzzy sets; Information science; Set theory;
Conference_Titel :
Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4994-1
DOI :
10.1109/ICIECS.2009.5363724
