| Frank三角范数的三值模糊逻辑系统的真度理论 |
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| 引用本文： | 马盈仓,张美,崔美英.Frank三角范数的三值模糊逻辑系统的真度理论[J].广西师范大学学报(自然科学版),2011,29(3). |
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| 作者姓名： | 马盈仓 张美 崔美英 |
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| 作者单位： | 西安工程大学理学院,陕西西安,710048 |
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| 基金项目： | 国家自然科学基金资助项目(60273087,60775038); 陕西省教育厅专项科研计划项目(2010JK567) |
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| 摘 要： | 本文在Frank三角范数的三值R-蕴涵模糊逻辑系统中,借助逻辑公式A所诱导的函数,建立逻辑公式A的真度概念,得到一些三值R-蕴涵逻辑系统下的真度推理规则。同时,利用真度定义公式间的相似度和伪距离,给出相似度和伪距离的性质,为Frank三角范数命题逻辑系统中的近似推理提供了一种理论框架。
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| 关 键 词： | 真度 相似度 伪距离 |
Truth Degree Theory of 3-valued Fuzzy Logic System Based on Frank Triangular Norm |
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| MA Ying-cang,ZHANG Mei,CUI Mei-ying.Truth Degree Theory of 3-valued Fuzzy Logic System Based on Frank Triangular Norm[J].Journal of Guangxi Normal University(Natural Science Edition),2011,29(3). |
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| Authors: | MA Ying-cang ZHANG Mei CUI Mei-ying |
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| Institution: | MA Ying-cang,ZHANG Mei,CUI Mei-ying(School of Science,Xi'an Polytechnic University,Xi'an Shaanxi 710048,China) |
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| Abstract: | By means of the function induced by a logical formula A,the concept of integral truth of the logical formula A is introduced in 3-valued R-implication fuzzy logic system based on Frank Triangular Norm,and some reasoning rules of truth degree based on 3-valued R-implication logic system are given.Moreover,the similarity degree and pseudo-distance between two formulas are defined by using the truth degree concept,and their properties are discussed.This offers a theoretical framework for approximate reasoning ... |
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| Keywords: | truth degree similarity degree pseudo-distance |
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