http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
홍덕헌,Hong, Dug-Hun Korean Data and Information Science Society 1991 한국데이터정보과학회지 Vol.2 No.-
Petrov (1968) gave two theorems on the law of the iterated logarithm without any assumptions about the existence of moments of independent random variables. In the present paper we show that the same holds true for sign-invariant random variables.
A Note to the Stability of Fuzzy Closed-Loop Control Systems
홍덕헌,Hong, Dug-Hun The Korean Data and Information Science Society 2001 한국데이터정보과학회지 Vol.12 No.1
Chen and Chen(FSS, 1993, 159-168) presented a reasonable analytical model of fuzzy closed-loop systems and proposed a method to analyze the stability of fuzzy control by the relational matrix of fuzzy system. Chen, Lu and Chen(IEEE Trans. Syst. Man Cybern., 1995, 881-888) formulated the sufficient and necessary conditions on stability of fuzzy closed-loop control systems. Gang and Chen(FSS, 1996, 27-34) deduced a linguistic relation model of a fuzzy closed loop control system from the linguistic models of the fuzzy controller and the controlled process and discussed the linguistic stability of fuzzy closed loop system by a linguistic relation matrix. In this paper, we study more on their models. Indeed, we prove the existence and uniqueness of equilibrium state $X_e$ in which fuzzy system is stable and give closed form of $X_e$. The same examples in Chen and Chen and Gang and Chen are treated to analyze the stability of fuzzy control systems.
A note on a triangular norm hierarchy
홍덕헌,Hong, Dug-Hun The Korean Data and Information Science Society 2002 한국데이터정보과학회지 Vol.13 No.2
In Cretu (2001), triangular norms and their hierarchy are investigated. In this paper, we give new proofs which are significantly shorter than those given in Cretu, applying a known result which involves only one argument of one-place rather than two-place argument s by Klement et al.(1997).
Some Properties of Operations on Fuzzy Numbers
홍덕헌,Hong, Dug-Hun The Korean Data and Information Science Society 2002 한국데이터정보과학회지 Vol.13 No.2
In this paper, we introduce a concept of (H)-property which generalize that of increasing(decreasing) property of binary operation. We also treat some works related to operations on fuzzy numbers and generalize earlier results of Kawaguchi and Da-te(1994).
A Note on Fuzzy Linear Regression Analysis of Fuzzy Valued Variables
홍덕헌,Hong, Dug-Hun The Korean Data and Information Science Society 2001 한국데이터정보과학회지 Vol.12 No.1
In this note, we show that a linear regression model, using entropy and degree of nearness of fuzzy numbers, suggested by Wang and Li[FSS 36, 125-136] seems to be unreasonable by an example.
On the Weak Law of Large Numbers for the Sums of Sign-Invariant Random Variables
홍덕헌,Hong, Dug-Hun The Korean Data and Information Science Society 1993 한국데이터정보과학회지 Vol.4 No.-
We consider various types of weak convergence for sums of sign-invariant random variables. Some results show a similarity between independence and sign-invariance. As a special case, we obtain a result which strengthens a weak law proved by Rosalsky and Teicher [6] in that some assumptions are deleted.
Notes on the compatibility between defuzzification and t-norm based fuzzy arithmetic operations
Dug Hun Hong(홍덕헌) 한국지능시스템학회 2003 한국지능시스템학회논문지 Vol.13 No.2
Recently, Oussalah [Fuzzy Sets and Systems 128(2002) 247-260] investigated some theoretical results about some invariance properties concerning the relationships between the defuzzification outcomes and the arithmetic of fuzzy numbers. But, in this note we introduce some explicit calculations of the resulting fuzzy set or possibility distribution when the matter is the determination of the defuzzified value pertaining to the result of some manipulation of fuzzy quantities under t-norm based fuzzy arithmetic operations.