• Title/Summary/Keyword: Chiu

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Entropy and information energy arithmetic operations for fuzzy numbers

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.6
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    • pp.754-758
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    • 2005
  • There have been several tipical methods being used tomeasure the fuzziness (entropy) of fuzzy sets. Pedrycz is the original motivation of this paper. Recently, Wang and Chiu [FSS103(1999) 443-455] and Pedrycz [FSS 64(1994) 21-30] showed the relationship(addition, subtraction, multiplication) between the entropies of the resultant fuzzy number and the original fuzzy numbers of same type. In this paper, using Lebesgue-Stieltjes integral, we generalize results of Wang and Chiu [FSS 103(1999) 443-455] concerning entropy arithmetic operations without the condition of same types of fuzzy numbers. And using this results and trade-off relationship between information energy and entropy, we study more properties of information energy of fuzzy numbers.

A Study on Maximum and Mean Velocity Relationships with Varied Channel Slopes and Sediment (유사가 있는 경우와 수로경사가 변화하는 경우의 최대유속과 평균유속과의 관계에 관한 연구)

  • Choo, Tai-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.1
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    • pp.154-159
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    • 2008
  • This study proposes how to decide mean velocity which is one of the very important and efficient discharge measurement in water resources area. In order to achieve this goal, Chiu's velocity distribution equation recently developed from the probability and entropy concepts is used to establish, analyze and compare a linkage between the mean velocity obtained from the Manning's equation which is well known in the world. Besides, it becomes clear that a channel cross section also has a propensity to establish and maintain an equilibrium state that can be measured and classified by a function of entropy M, ratio of mean and maximum velocities irrespective of including sediment or varied channel slope. Therefore, The linkage to be established in this study can be used to compute the cross sectional velocity distribution with the maximum velocity.