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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제19권 제3호
- 발행연도
- 2020.1
- 수록면
- 239 - 274 (36page)
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초록· 키워드
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A shadowed set, $S$, facilitates crisp decision-making with a fuzzy set $F$. It is constructed with the aid of different optimization-based principles. Among these principles, the requirement of uncertainty balance guarantees preservation of the uncertainty of $F$ in $S$. In order to gain further insight on uncertainty balance, some essential mathematical properties which characterize uncertainty-balance-based objective function, $J(\alpha)$, are studied. These properties provide theoretical explanation for interpreting and analyzing $J(\alpha)$ and its ensuing optimum partition threshold $\alpha$. Two senses of uncertainty balance are discussed in this paper. Their combined efficiency in enhancing clustering results is illustrated with the aid of synthetic data set used in shadowed $C$-means clustering. Finally a need for five-region shadowed sets, $S_5$, is pointed out. A closed-form formula for determining its optimum thresholds is proposed and exemplified on typical fuzzy set and synthetic dataset.
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등록된 정보가 없습니다.
참고문헌 (40)
참고문헌 신청
H. A. Arnaldo / 2013 / A new way to obtain the initial centroids in fuzzy C-means algorithm / 2013 2nd Workshop-School on Theoretical Computer Science :139~144
G. Cattaneo G / 2003 / Shadowed sets and related algebraic structures / Fundamenta Informaticae 55:255~284
N. Cowan / 2000 / The magic number 4 in short-term memory : a reconsideration of mental storage capacity / Behav Brain Sci 24:87~185
A. De Luca / 1972 / A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory / Information and Control 20:301~312
X. F. Deng / 2013 / Mean-value-based decision-theoretic shadowed sets / Proceedings of 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS) :1382~1387
G. Cattaneo G / 2003 / Shadowed sets and related algebraic structures / Fundamenta Informaticae 55:255~284
N. Cowan / 2000 / The magic number 4 in short-term memory : a reconsideration of mental storage capacity / Behav Brain Sci 24:87~185
A. De Luca / 1972 / A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory / Information and Control 20:301~312
X. F. Deng / 2013 / Mean-value-based decision-theoretic shadowed sets / Proceedings of 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS) :1382~1387
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