| 直觉模糊关系方程 |
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| 引用本文： | 杨振国,王加银.直觉模糊关系方程[J].北京师范大学学报(自然科学版),2012,48(1):1-5. |
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| 作者姓名： | 杨振国 王加银 |
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| 作者单位： | 北京师范大学数学科学院复杂系统智能控制实验室,北京,100875;北京师范大学数学科学院复杂系统智能控制实验室,北京,100875 |
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| 基金项目： | 国家自然科学基金资助项且 |
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| 摘 要： | 介绍了直觉模糊集、直觉模糊关系及其合成;合理的建立直觉模糊关系方程,并对其解进行讨论研究.给出了直觉模糊关系方程相容的充要条件及求最大解的方法;进一步还讨论了在有限论域上基于拟极小解的直觉模糊关系方程的全体解集.
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| 关 键 词： | 直觉模糊关系 直觉模糊关系方程 相容 最大解 |
EQUATION FOR INTUITIONISTIC FUZZY RELATION |
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| YANG Zhenguo,WANG Jiayin.EQUATION FOR INTUITIONISTIC FUZZY RELATION[J].Journal of Beijing Normal University(Natural Science),2012,48(1):1-5. |
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| Authors: | YANG Zhenguo WANG Jiayin |
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| Institution: | (School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems of Ministry of Education,100875,Beijing,China) |
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| Abstract: | Intuitionistic fuzzy sets,relations and composition were introduced to establish and to solve equation for intuitionistic fuzzy relation(IFRE).Sufficient and necessary conditions of IFRE were proposed,solution at maximal resolution was given.Sets for all the solution of the IFRE based on the finite sets were discussed. |
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| Keywords: | intuitionistic fuzzy relation intuitionisitic fuzzy relation equation including maximal solution |
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