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Cut set of interval-valued intuitionistic fuzzy sets. (Chinese. English summary) Zbl 1240.03035

Summary: In this paper, firstly, the concepts of cut set of interval-valued intuitionistic fuzzy sets and interval-valued intuitionistic nested set are proposed. Secondly, some properties of cut sets of interval-valued intuitionistic fuzzy sets are discussed. Finally, a decomposition theorem and a representation theorem of interval-valued intuitionistic fuzzy sets are given.

MSC:

03E72 Theory of fuzzy sets, etc.
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