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A UNIFORM STRONG LAW OF LARGE NUMBERS FOR PARTIAL SUM PROCESSES OF FUZZY RANDOM SETS
권중성,심홍태 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.3
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).
OVERVIEWS ON LIMIT CONCEPTS OF A SEQUENCE OF FUZZY NUMBERS I
권중성,심홍태 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this paper, we survey various notions and results related to statistical convergence of a sequence of fuzzy numbers, in which statistical convergence for fuzzy numbers was first introduced by Nuray and Savas in 1995. We will go over boundedness, convergence of sequences of fuzzy numbers, statistically convergence and statistically Cauchy sequences of fuzzy numbers, statistical limit and cluster point for sequences of fuzzy numbers, statistical monotonicity and boundedness of a sequence of fuzzy numbers and finally statistical limit inferior and limit inferior for the statistically bounded sequences of fuzzy numbers.
Central limit theorems for fuzzy random sets
권중성,김윤경,주상열 한국지능시스템학회 2004 한국지능시스템학회 학술발표 논문집 Vol.14 No.1
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.
On various statistical convergence of fuzzy numbers
권중성 선문대학교 자연과학대학 2001 자연과학논총 Vol.4 No.-
유리기판 위에 염화학증착법으로 투명전도성 산화주석막을 제조하였다. 박막은 원료물질로 tetramethyltin (TMT), 산화제로 산소나 오존이 포함된 산소의 흔할물로부터 제조되었다. 제조된 박막은 기판온도에 따라 물성이 크게 변하였고 최적화된 박막은 TMT 유량 8 sccm, 산소유량 150 sccm, 기판온도 380에서 제조되었다. 오곤존 사용함으로서 기판은도를 약 180℃정도 낮출 수 있었고 비저항은 ∼10-3Ω㎝에서 -10-3Ω㎝으로 감소시킬 수 있었다. Transparent and conducting tin oxide thin films were prepared on soda lime silicate glass by thermal chemical vapour deposition. Thin films were fabricated from mixtures of tetramethyltin (TMT) as a precursor, oxygen or oxygen containing ozone as an oxidant. The properties of fabricated tin oxide films are highly changed with variations of substrate temperature. Optimized thin films could be prepared on TMT, which flow rate of 8 sccm, oxygen flow rate of 150 sccm and substrate temperature of 380℃. We reduced deposition temperature about 180℃ by using of oxygen containing ozone instead of pure oxygen and resistivity of thin films was decreased from ∼×10-3Ω㎝ to ∼×10-3Ω㎝.
Central limit theorems for fuzzy random sets
권중성(Joong-Sung Kwon),김윤경(Yun-Kyong Kim),주상열(Sang-Yeol Joo),최경숙(Gyeong-Suk Choi) 한국지능시스템학회 2005 한국지능시스템학회논문지 Vol.15 No.3
이 논문에서는 서로 독립이고 동일한 분포를 갖는 집합치 랜덤 변수의 합에 대한 중심극한정리의 일반화로서, 수준연속인 퍼지 집합치 랜덤 변수의 합에 대한 중심극한정리를 연구하였다. The present paper establishes the improved version of central limit theorem for sums of level-continuous fuzzy set-valued random variables as a generalization of central limit theorem for sums of independent and identically distributed set-valued random variables.
ON FUNCTIONS DEFINED BY ITS FOURIER TRANSFORM
심홍태,권중성 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.3
Fourier transform is well known for trigonometric systems. It is also a very useful tool for the construction of wavelets. The method of constructing wavelets has evolved as times went by. We review some methods. Then we do some calculations on wavelets defined by its Fourier transform.