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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/48302


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    題名: Fuzzy/Probability~Fractal/Smooth
    作者: 吳柏林
    關鍵詞: Multi-D degrees of belief;fractal;fuzzy;probability
    日期: 1999
    上傳時間: 2010-11-12 12:16:47 (UTC+8)
    摘要: Many applications of probability theory are based on the assumption that, as the number of cases increase, the relative frequency of cases with a certain property tends to a number – probability that this property is true. L. Zadeh has shown that in many real-life situations, the frequency oscillates and does not converge at all. It is very difficult to describe such situations by using methods from traditional probability theory. Fuzzy logic is not based on any convergence assumptions and therefore, provides a natural description of such situations. However, a natural next question arises: how can we describe this oscillating behavior? Since we cannot describe it by using a single parameter (such as probability), we need to use a multi-D formalism. In this paper, we describe an optimal formalism for describing such oscillations, and show that it complements traditional probability techniques in the same way as fractals complement smooth curves and surfaces.
    關聯: International Journal of Uncertainty Fuzziness and Knowledge - Based Systems,7(4),363-370
    資料類型: article
    DOI 連結: http://dx.doi.org/10.1142/S0218488599000313
    DOI: 10.1142/S0218488599000313
    顯示於類別:[應用數學系] 期刊論文

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