Laws of large numbers for triangular arrays of rowwise independent random fuzzy sets

Strong laws of large numbers for arrays of rowwise independent random compact sets and fuzzy random sets

In this paper we obtain some strong laws of large numbers (SLLNs) for arrays of rowwise independent (not necessary identically distributed) random compact sets and fuzzy random sets whose underlying spaces are separable Banach spaces. © 2008 Elsevier B.V. All rights reserved.

Complete Convergence of the Maximum Partial Sums for Arrays of Rowwise of AANA Random Variables

i=1 X ni | is investigated, and some new results are obtained, where {X ni , i ≥ 1, n ≥ 1} is an array of rowwise AANA random variables and {a n , n ≥ 1} is a sequence of positive real numbers. As an application, the Chung-type strong law of large numbers for arrays of rowwise AANA random variables is obtained.The results extend and improve the corresponding ones of Hu and Taylor (1997) for arr...

Strong Laws of Large Numbers for Arrays of Rowwise NA and LNQD Random Variables

A Note on the Strong Law of Large Numbers for Arrays of Rowwise ρ̃-Mixing Random Variables

if and only if E|X| < ∞. In the case of independence, Hu and Taylor 1 proved the following strong law of large numbers. Theorem 1.1. Let {Xni : 1 ≤ i ≤ n, n ≥ 1} be a triangular array of rowwise independent random variables. Let {an, n ≥ 1} be a sequence of positive real numbers such that 0 < an ↑ ∞. Let g t be a positive, even function such that g |t| /|t| is an increasing function of |t| and ...

A NOVEL TRIANGULAR INTERVAL TYPE-2 INTUITIONISTIC FUZZY SETS AND THEIR AGGREGATION OPERATORS

The objective of this work is to present a triangular interval type-2 (TIT2) intuitionistic fuzzy sets and their corresponding aggregation operators, namely, TIT2 intuitionistic fuzzy weighted averaging, TIT2 intuitionistic fuzzy ordered weighted averaging and TIT2 intuitionistic fuzzy hybrid averaging based on Frank norm operation laws. Furthermore, based on these operators, an approach to mul...