| S-模糊逻辑系统中积分相似度及算子连续性 |
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| 引用本文： | 惠小静,赵玛瑙.S-模糊逻辑系统中积分相似度及算子连续性[J].计算机工程与应用,2014(20):45-47. |
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| 作者姓名： | 惠小静 赵玛瑙 |
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| 作者单位： | 延安大学 数学与计算机科学学院,陕西 延安,716000 |
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| 基金项目： | 陕西省自然科学基金(No.2014JM1020)；陕西省高水平大学建设专项资金(No.2012SXTS07)；延安大学博士基金(No. YDBK2013-12)；延安市专项基金(No.2013-KG16)。 |
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| 摘 要： | 与通常相似度定义在真度基础上不同，在S-蕴涵模糊逻辑系统中提出了基于S-蕴涵算子的积分相似度。讨论了积分相似与逻辑等价的关系，给出了积分相似度的推理性质，提出了与积分相似度对应的伪距离。论证了伪距离空间中逻辑算子都是连续的。
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| 关 键 词： | S-逻辑系统 积分相似度 伪距离 |
Integral similarity degree and continuity of operators in S-fuzzy logic system |
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| HUI Xiaojing,ZHAO Manao.Integral similarity degree and continuity of operators in S-fuzzy logic system[J].Computer Engineering and Applications,2014(20):45-47. |
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| Authors: | HUI Xiaojing ZHAO Manao |
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| Affiliation: | ( College of Mathematics and Computer Science, Yan＇ an University, Yan＇ an, Shaanxi 716000, China) |
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| Abstract: | It is different from that the usual similarity degree is defined based on truth degree, this paper puts forward the integral similarity degree by use of S-implication operator in S-implication fuzzy logic system. Then the paper discusses the relationship between integral similarity and logical equivalence, gives the inference properties of the integral similarity degree, proposes the pseudo-metric corresponding to the integral similarity degree. The continuity of the logical operators in pseudo-metric space is proved. |
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| Keywords: | S-logic system integral similarity degree pseudo-metric |
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