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Some notes on strong law of large numbers for Banach space valued fuzzy random variables

김윤경|김주목
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2013.12|한국수학논문집 (Korean Journal of Mathematics)|제21권 제4호|pp. 383-399|DOI http://dx.doi.org/10.11568/kjm.2013.21.4.383

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참고문헌

키워드

TightnessRandom setsFuzzy random variablesStrong law of large numbersCompactly uniform integrability
주제분류수학

초록

In this paper, we establish two types of strong law of large numbers for fuzzy random variables taking values on the space of normal and upper-semicontinuous fuzzy sets with compact support in a separable Banach space. The first result is SLLN for strong-compactly uniformly integrable fuzzy random variables, and the other is the case of that the averages of its expectations converges.

Abstract

In this paper, we establish two types of strong law of large numbers for fuzzy random variables taking values on the space of normal and upper-semicontinuous fuzzy sets with compact support in a separable Banach space. The first result is SLLN for strong-compactly uniformly integrable fuzzy random variables, and the other is the case of that the averages of its expectations converges.

참고문헌 (27)

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관련 논문AI추천

SLLN FOR INDEPENDENT FUZZY RANDOM VARIABLES주상열, 현영남강원경기수학회 · 한국수학논문집2008 · 제16권 제4호SLLN FOR WEIGHTED SUMS OF LEVEL-WISE INDEPENDENT FUZZY RANDOM VARIABLES주상열강원경기수학회 · 한국수학논문집2008 · 제16권 제4호Strong laws of large numbers for random upper-semicontinuous fuzzy sets김윤경대한수학회 · 대한수학회보2002 · 제39권 제3호On the weal law of large numbers for sequences of Banach space valued random elementsLe hong Son, Nguyen Van Quang대한수학회 · 대한수학회보2006 · 제43권 제3호Some results on convergence in distribution for fuzzy randomsetsGyeong Suk Choi, Joong Sung Kwon, Sang Yeol Joo, Yun Kyong Kim대한수학회 · 대한수학회지2005 · 제42권 제1호Convergence of double series of random elements in Banach spacesLe Van Dung, Nguyen Duy Tien대한수학회 · 대한수학회지2012 · 제49권 제5호

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