| 区间值三角模左连续的充要条件 |
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| 引用本文： | 宋佳,罗敏楠,李永明.区间值三角模左连续的充要条件[J].山东大学学报(理学版),2009,44(3):67-70. |
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| 作者姓名： | 宋佳 罗敏楠 李永明 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062
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| 摘 要： | 基于定向偏序集理论给出了区间值三角模左连续的充要条件,证明了区间值三角模左连续当且仅当该三角模保定向并。
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| 关 键 词： | 区间值 三角模 定向集 左连续 |
| 收稿时间： | 2008-10-15 |
Necessary and sufficient condition for left-continuity of interval-valued triangular norms |
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| SONG Jia,LUO Min-nan,LI Yong-ming.Necessary and sufficient condition for left-continuity of interval-valued triangular norms[J].Journal of Shandong University,2009,44(3):67-70. |
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| Authors: | SONG Jia LUO Min-nan LI Yong-ming |
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| Institution: | College of Mathematics and Information Sciences;Shaanxi Normal University;Xi'an 710062;Shaanxi;China |
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| Abstract: | Based on the theory of directed partial order sets a necessary and sufficient condition for interval-valued triangular norms being left-continuous was obtained.The interval-valued triangular norm is left-continuous if and only if it preserves directed joins. |
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| Keywords: | interval-value triangular norm directed set left-continuity |
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