• 제목/요약/키워드: random fuzzy sets

검색결과 23건 처리시간 0.023초

STRONG LAWS OF LARGE NUMBERS FOR RANDOM UPPER-SEMICONTINUOUS FUZZY SETS

  • Kim, Yun-Kyong
    • 대한수학회보
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    • 제39권3호
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    • pp.511-526
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    • 2002
  • In this paper, we concern with SLLN for sums Of in-dependent random upper-semicontinuous fuzzy sets. We first give a generalization of SLLN for sums of independent and level-wise identically distributed random fuzzy sets, and establish a SLLN for sums of random fuzzy sets which is independent and compactly uniformly integrable in the strong sense. As a result, a SLLN for sums of independent and strongly tight random fuzzy sets is obtained.

SOME RESULTS ON CONVERGENCE IN DISTRIBUTION FOR FUZZY RANDOM SETS

  • JOO SANG YEOL;CHOI GYEONG SUK;KWON JOONG SUNG;KIM YUN KYONG
    • 대한수학회지
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    • 제42권1호
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    • pp.171-189
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    • 2005
  • In this paper, we first establish some characterization of tightness for a sequence of random elements taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in $R^P$. As a result, we give some sufficient conditions for a sequence of fuzzy random sets to converge in distribution.

A UNIFORM STRONG LAW OF LARGE NUMBERS FOR PARTIAL SUM PROCESSES OF FUZZY RANDOM SETS

  • Kwon, Joong-Sung;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • 제30권3_4호
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    • pp.647-653
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    • 2012
  • In this paper, we consider fuzzy random sets as (measurable) mappings from a probability space into the set of fuzzy sets and prove a uniform strong law of large numbers for sequences of independent and identically distributed fuzzy random sets. Our results generalize those of Bass and Pyke(1984)and Jang and Kwon(1998).

ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF FUZZY RANDOM SETS

  • Joo, Sang-Yeol;Kim, Yun-Kyong;Kwon, Joong-Sung
    • 한국신뢰성학회:학술대회논문집
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    • 한국신뢰성학회 2004년도 정기학술대회
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    • pp.177-182
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    • 2004
  • In this paper, we establish some results on almost sure convergence for sums and weighted sums of uniformly integrable fuzzy random sets taking values in the space of upper-semicontinuous fuzzy sets in $R^{p}$.

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퍼지 랜덤 집합에 대한 중심극한정리 (Central limit theorems for fuzzy random sets)

  • 권중성;김윤경;주상열
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 춘계학술대회 학술발표 논문집 제14권 제1호
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    • pp.385-388
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    • 2004
  • The present paper establish the improved version of central limit theorem for sums of level-continuous fuzzy random variables as a generalization of central limit theorem for sums of independent and identically distributed random sets.

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Weak laws of large numbers for weighted sums of Banach space valued fuzzy random variables

  • Kim, Yun Kyong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제13권3호
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    • pp.215-223
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    • 2013
  • 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 normal and upper-semicontinuous fuzzy sets with compact support in a separable real Banach space. First, we give weak laws of large numbers for weighted sums of strong-compactly uniformly integrable fuzzy random variables. Then, we consider the case that the weighted averages of expectations of fuzzy random variables converge. Finally, weak laws of large numbers for weighted sums of strongly tight or identically distributed fuzzy random variables are obtained as corollaries.

The Concepts of Tightness for Fuzzy Set Valued Random Variables

  • Kim, Yun-Kyong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권2호
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    • pp.147-153
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    • 2009
  • In this paper, we introduce several concepts of tightness for a sequence of random variables taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in $R^p$ and give some characterizations of their concepts. Also, counter-examples for the relationships between the concepts of tightness are given.

퍼지 랜덤 집합에 대한 중심극한정리 (Central limit theorems for fuzzy random sets)

  • 권중성;김윤경;주상열;최경숙
    • 한국지능시스템학회논문지
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    • 제15권3호
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    • pp.337-342
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    • 2005
  • 이 논문에서는 서로 독립이고 동일한 분포를 갖는 집합치 랜덤 변수의 합에 대한 중심극한정리의 일반화로서, 수준연속인 퍼지 집합치 랜덤 변수의 합에 대한 중심극한정리를 연구하였다.

SOME NOTES ON STRONG LAW OF LARGE NUMBERS FOR BANACH SPACE VALUED FUZZY RANDOM VARIABLES

  • Kim, Joo-Mok;Kim, Yun Kyong
    • Korean Journal of Mathematics
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    • 제21권4호
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    • pp.383-399
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    • 2013
  • 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.