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 and countable nested sets, investigate countable decomposition theorems and countable representation theorems in detail. These conclusions can be applied in the general situation to develop some branches in fuzzy set theory.
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Zeng, W., Li, H., Luo, C. (2007). Countable Dense Subsets and Countable Nested Sets. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_19
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DOI: https://doi.org/10.1007/978-3-540-71441-5_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71440-8
Online ISBN: 978-3-540-71441-5
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