| 粒集理论:粒计算的新模型 |
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| 引用本文： | 李鸿. 粒集理论:粒计算的新模型[J]. 重庆邮电大学学报(自然科学版), 2007, 19(4): 397-404 |
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| 作者姓名： | 李鸿 |
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| 作者单位： | 宿州学院,计算机科学与技术系,人工智能与数据挖掘研究室,宿州,234000 |
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| 基金项目： | 安徽高校省级自然科学研究重点项目 , 宿州学院教授(博士)启动基金 |
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| 摘 要： | 在已有的有关粒计算研究成果的基础上,表述了信息的粒化、层次化和动态性原理,并综合了粒的表示形式后,提出了粒集的概念,确认了粒的二元组的表示形式#同时借用统一集的形式对粒集进行了描述,分析了统一集与粒集的异同,给出了与粒集相关的一些概念,讨论了用粒集形式来表达其他各种各样的集合,诸如经典集合、模糊集合、可拓集合、Vague集合、粗糙集合等后,又讨论并表示了粒运算和粒集运算,最后给出了粒集理论的初步应用框架。粒集理论为粒计算提供很好的理论基础，从而使粒计算确立自己独立的研究领域。
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| 关 键 词： | 粒集；粒计算；信息粒化；粒运算；粒集运算 |
| 文章编号： | 1673-825X（2007）04-0397-08 |
| 收稿时间： | 2007-05-11 |
| 修稿时间： | 2007-05-11 |
Theory of granular set: A new model of granular computing |
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| LI Hong. Theory of granular set: A new model of granular computing[J]. Journal of Chongqing University of Posts and Telecommunications, 2007, 19(4): 397-404 |
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| Authors: | LI Hong |
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| Affiliation: | Research Lab of Artificial Intelligence and Data Mining of Department,Computer Science and Technology, Suzhou College, Suzhou 234000, P.R. China |
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| Abstract: | Based on the researches of granular computing, the granulation, hierarchy and dynamics principle of information are described. By synthesizing the expression form of granule, the concept of granular set is proposed, and the expression forms of granular ordered pair are confirmed. Moreover, the granular set is described in the form of all set; some expressions of granular set are presented, such as crisp set, fuzzy set, extension set, vague set, rough set, etc, the granular operation and granular set operation are discussed, and the initial application frame of the the- ory of granular set is given. The theory of granular set offers very good theoretical foundation for granular computing so that it establishes its own independent research field. |
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| Keywords: | granular set granular computing information granulation granular operation granular set operation |
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