| 基于凸面单形体的Vague集向Fuzzy集转化模型 |
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| 引用本文： | 韦波,彭军还,杨红磊.基于凸面单形体的Vague集向Fuzzy集转化模型[J].模式识别与人工智能,2012,25(3):426-434. |
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| 作者姓名： | 韦波 彭军还 杨红磊 |
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| 作者单位： | 1. 中国地质大学(北京)土地科学技术学院 北京100083;桂林理工大学测绘地理信息学院 桂林541004;桂林理工大学广西空间信息与测绘重点实验室 桂林541004
2. 中国地质大学(北京)土地科学技术学院 北京100083 |
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| 基金项目： | 国家自然科学基金项目，广西科学研究与技术开发计划项目，广西自然科学基金项目，广西研究生教育创新计划项目 |
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| 摘 要： | 利用Vague集与凸面单形体同一平面内3个三角形的对应关系,给出一种Vague集及其向Fuzzy集转化的单形体几何表示方法,有效解决Vague集向Fuzzy集转化方法或模型中的几何解释问题.提出Vague集向Fuzzy集转化的单形体转化模型(S-TM),以及应满足的转化准则.与已有转化方法或模型相比,S-TM具有更直观的几何表示和更明确、更确定的几何解释,是一种更为有效的转化模型,并说明Vague集向Fuzzy集的转化具有模糊性和逐渐转化性.
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| 关 键 词： | Vague集 Fuzzy集 单形体转化模型(S-TM) 转化准则 凸面单形体 |
Model for Transforming Vague Sets into Fuzzy Sets Based on Convex Simplex |
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| WEI Bo
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PENG Jun-Huan
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YANG Hong-Lei.Model for Transforming Vague Sets into Fuzzy Sets Based on Convex Simplex[J].Pattern Recognition and Artificial Intelligence,2012,25(3):426-434. |
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| Authors: | WEI Bo PENG Jun-Huan YANG Hong-Lei |
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| Affiliation: | 1 ( School of Land Science and Technology,China University of Geosciences ( Beijing) ,Beijing 100083) 2 ( College of Geomatics and Geoinformation,Guilin University of Technology,Guilin 541004) 3 ( Guangxi Key Laboratory of Spatial Information and Geomatics,Guilin University of Technology, Guilin 541004) |
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| Abstract: | Making use of a corresponding relation between Vague sets and the three triangles within a same plane of convex simplex,a simplex geometric expression is presented for Vague sets and transforming them into Fuzzy sets. It effectively solves the problem of geometric interpretation in methods or models for transforming Vague sets into Fuzzy sets. A simplex transformation model ( S-TM ) is proposed for transforming Vague sets into Fuzzy sets,and the corresponding transformation rules are also presented. Compared with the existing transformation methods or models,the proposed S-TM is more effective and visualized in geometric expression, and more explicit and determinate in geometric interpretation. Comparative results show that transforming Vague sets into Fuzzy sets is fuzzy and gradual. |
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| Keywords: | Vague Set Fuzzy Set Simplex Transformation Model ( S-TM) Transformation Rule Convex Simplex |
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