On Limit Theorems for Random Fuzzy Sets Including Large Deviation Principles

摘要

Study of random fuzzy sets or fuzzy set-valued random variables was initiated by Feron [7] and Kwakernaak [13, 14] in late 70's, about ten years after the famous paper by Zadeh [32]. A systematic treatment of them was done by Puri and Ralescu [30] in the case when the underlying space is Rd. For the general underlying space, see Li and Ogura [15].