三值逻辑系统W3中的随机化研究 |
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引用本文: | 阚婷,张兴芳,王作真.三值逻辑系统W3中的随机化研究[J].模糊系统与数学,2009,23(5). |
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作者姓名: | 阚婷 张兴芳 王作真 |
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作者单位: | 阚婷(聊城大学,数学科学学院,山东,聊城,252059;山东省桓台第二中学,山东,桓台,256402);张兴芳,王作真(聊城大学,数学科学学院,山东,聊城,252059) |
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基金项目: | 教育部科学技术研究重点项目 |
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摘 要: | 利用赋值集的随机化方法,在三值逻辑W3中提出了公式的随机真度,证明了所有公式的随机真度之集在0,1]中没有孤立点;给出了两公式间的DW3-相似度与伪距离的概念,并建立了DW3-逻辑度量空间,证明了此空间没有孤立点.
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关 键 词: | DW3-随机真度 DW3-相似度 DW3-逻辑度量空间 |
Stochastic in Ternary Logic System W3 |
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Abstract: | In this paper, D_(W_3)- stochastic truth degree of formulas in ternary logic W_3 is presented by using stochastic method on evaluation sets. It is proved that the set of stochastic truth degree of all formulas has no isolated point. The conceptions of D_(W_3)- similarity degree and pseudo-metric on two formulas are given. D_(W_3)- logic metric space is built. And it is proved that this space has no isolated point. |
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Keywords: | D_(W_3)- stochastic Truth Degree D_(W_3)- Similarity Degree D_(W_3)- logic Metric Space |
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