Strong limit theorems for random sets and fuzzy random sets with slowly varying weights

Authors:
Ke-ang Fu;Li-xin Zhang
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou 310027, China;Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Venue:
Information Sciences: an International Journal
Year:
2008

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Abstract

Theories of random sets and fuzzy random sets are useful concepts which are frequently applied in scientific areas including information science, probability and statistics. In this paper strong limit theorems are derived for random sets and fuzzy random sets with slowly varying weights in separable Banach spaces. Both independent and dependent cases are covered to provide a wide range of applications.