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RISS 인기검색어
- 검색키워드
- 저자 : Hong Dug-Hun (검색결과 242 건)
- 무료
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A note on T-sum of bell-shaped fuzzy intervals
Hong, Dug-Hun Korean Institute of Intelligent Systems 2007 한국지능시스템학회논문지 Vol.17 No.6
The usual arithmetic operations on real numbers can be extended to arithmetical operations on fuzzy intervals by means of Zadeh's extension principle based on a t-norm T. Dombi and Gyorbiro proved that addition is closed if the Dombi t-norm is used with two bell-shaped fuzzy intervals. Recently, Hong [Fuzzy Sets and Systems 158(2007) 739-746] defined a broader class of bell-shaped fuzzy intervals. Then he study t-norms which are consistent with these particular types of fuzzy intervals as applications of a result proved by Mesiar on a strict f-norm based shape preserving additions of LR-fuzzy intervals with unbounded support. In this note, we give a direct proof of the main results of Hong.
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A note on T-sum of bell-shaped fuzzy intervals
Dug Hun Hong 한국지능시스템학회 2007 한국지능시스템학회논문지 Vol.17 No.6
The usual arithmetic operations on real numbers can be extended to arithmetical operations on fuzzy intervals by means of Zadeh's extension principle based on a t-norm T. Dombi and Gy?rbiro proved that addition is closed if the Dombi t-norm is used with two bell-shaped fuzzy intervals. Recently, Hong [Fuzzy Sets and Systems 158(2007) 739-746] defined a broader class of bell-shaped fuzzy intervals. Then he study t-norms which are consistent with these particular types of fuzzy intervals as applications of a result proved by Mesiar on a strict t-norm based shape preserving additions of LR-fuzzy intervals with unbounded support. In this note, we give a direct proof of the main results of Hong.
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A NOTE ON BLACKWELL'S THEOREM FOR FUZZY VARIABLES
HONG, DUG HUN The Korean Society for Computational and Applied M 2016 Journal of applied mathematics & informatics Vol.34 No.3
Recently, some results of Blackwell's Theorem in which interarrival times are characterized as fuzzy variables under t-norm-based fuzzy operations are discussed by Hong. However, these results are invalid. In this note, we give counter examples of these results.
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On entropy for intuitionistic fuzzy sets applying the Euclidean distance
Hong, Dug-Hun Korean Institute of Intelligent Systems 2002 한국지능시스템학회논문지 Vol.12 No.6
Recently, Szmidt and Kacprzyk[Fuzzy Sets and Systems 118(2001) 467-477] proposed a non-probabilistic-type entropy measure for intuitionistic fuzzy sets. Tt is a result of a geometric interpretation of intuitionistic fuzzy sets and uses a ratio of distances between them. They showed that the proposed measure can be defined in terms of the ratio of intuitionistic fuzzy cardinalities: of $F\bigcapF^c and F\bigcupF^c$, while applying the Hamming distances. In this note, while applying the Euclidean distances, it is also shown that the proposed measure can be defined in terms of the ratio of some function of intuitionistic fuzzy cardinalities: of $F\bigcapF^c and F\bigcupF^c$.
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Multi-variate Fuzzy Polynomial Regression using Shape Preserving Operations
Hong, Dug-Hun,Do, Hae-Young The Korean Data and Information Science Society 2003 한국데이터정보과학회지 Vol.14 No.1
In this paper, we prove that multi-variate fuzzy polynomials are universal approximators for multi-variate fuzzy functions which are the extension principle of continuous real-valued function under $T_W-based$ fuzzy arithmetic operations for a distance measure that Buckley et al.(1999) used. We also consider a class of fuzzy polynomial regression model. A mixed non-linear programming approach is used to derive the satisfying solution.
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Fuzzy regression using regularlization method based on Tanaka's model
Hong Dug-Hun,Kim Kyung-Tae Korean Institute of Intelligent Systems 2006 한국지능시스템학회논문지 Vol.16 No.4
Regularlization approach to regression can be easily found in Statistics and Information Science literature. The technique of regularlization was introduced as a way of controlling the smoothness properties of regression function. In this paper, we have presented a new method to evaluate linear and non-linear fuzzy regression model based on Tanaka's model using the idea of regularlization technique. Especially this method is a very attractive approach to model non -linear fuzzy data.
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Fuzzy least squares polynomial regression analysis using shape preserving operations
Hong, Dug-Hun,Hwang, Chang-Ha,Do, Hae-Young Korean Institute of Intelligent Systems 2003 한국지능시스템학회논문지 Vol.13 No.5
In this paper, we describe a method for fuzzy polynomial regression analysis for fuzzy input--output data using shape preserving operations for least-squares fitting. Shape preserving operations simplifies the computation of fuzzy arithmetic operations. We derive the solution using mixed nonlinear program.
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Notes on the compatibility between defuzzification and t-norm based fuzzy arithmetic operations
Hong, Dug-Hun Korean Institute of Intelligent Systems 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.
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