Weak Laws of Large Numbers for Weighted Sums of Fuzzy Random Variables

- Journal title : Communications for Statistical Applications and Methods
- Volume 16, Issue 3, 2009, pp.529-540
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2009.16.3.529

Title & Authors

Weak Laws of Large Numbers for Weighted Sums of Fuzzy Random Variables

Hyun, Young-Nam; Kim, Yun-Kyong; Kim, Young-Ju; Joo, Sang-Yeol;

Hyun, Young-Nam; Kim, Yun-Kyong; Kim, Young-Ju; Joo, Sang-Yeol;

Abstract

In this paper, we present some results on weak laws of large numbers for weighted sums of fuzzy random variables taking values in the space of fuzzy numbers of the real line R. We first give improvements of WLLN for weighted sums of convex-compactly uniformly integrable fuzzy random variables obtained by Joo and Hyun (2005). And then, we consider the case that the averages of expectations of fuzzy random variables converges. As results, WLLN for weighted sums of convexly tight or identically distributed case is obtained.

Keywords

Fuzzy random variables;fuzzy numbers;weak laws of large numbers;tightness;

Language

English

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