| 多粒度模糊粗糙近似算子的信任结构与属性约简 |
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| 引用本文： | 胡谦,米据生,李磊军. 多粒度模糊粗糙近似算子的信任结构与属性约简[J]. 山东大学学报(理学版), 2017, 52(7): 30-36. DOI: 10.6040/j.issn.1671-9352.4.2017.130 |
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| 作者姓名： | 胡谦 米据生 李磊军 |
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| 作者单位： | 1.河北师范大学数学与信息科学学院, 河北 石家庄 050024;2.河北省计算数学与应用重点实验室(河北师范大学), 河北 石家 050024 |
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| 基金项目： | 国家自然科学基金资助项目(61573127,61502144,61300121,61472463);河北省自然科学基金资助项目(A2014205157);河北省高校创新团队领军人才培育计划项目(LJRC022);河北省博士后择优资助科研项目(B2016003013);河北省高校自然科学基金资助项目(QN2016133);河北师范大学博士科学基金资助项目(L2015B01);河北省教育厅研究生创新项目(sj2015001);河北师范大学研究生创新项目资助 |
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| 摘 要： | 多粒度是近年来粗糙集领域研究的一个热点方向, 为使多粒度模型更适用于实际数据, 提高模型的可用性, 模糊思想被引入到多粒度粗糙集模型中。本文构建了基于模糊相似关系下的多粒度模糊粗糙集模型, 并建立了模糊信任结构。在该信任结构下根据多粒度模糊粗糙集的上、下近似构造信任函数与似然函数。研究多粒度模糊粗糙集在模糊等价关系下的属性约简, 并给出相关算法。
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| 关 键 词： | 似然函数 信任函数 模糊粗糙集 属性约简 多粒度 |
| 收稿时间： | 2017-03-06 |
The fuzzy belief structure and attribute reduction based on multi-granulation fuzzy rough operators |
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| HU Qian,MI Ju-sheng,LI Lei-jun. The fuzzy belief structure and attribute reduction based on multi-granulation fuzzy rough operators[J]. Journal of Shandong University, 2017, 52(7): 30-36. DOI: 10.6040/j.issn.1671-9352.4.2017.130 |
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| Authors: | HU Qian MI Ju-sheng LI Lei-jun |
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| Affiliation: | 1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, Hebei, China;2. Hebei Key Laboratory of Computational Mathematics and Applications(Hebei Normal University), Shijiazhuang 050024, Hebei, China |
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| Abstract: | Multi-granulation is a hot direction in rough set theory. To make multi-granulation model more applicable to practical data, and to improve the usability of the model, the fuzzy concept is employed in multi-granulation model. A multi-granulation fuzzy rough set model is constructed based on fuzzy similarity relation, and a fuzzy belief structure is established. The belief function and probability function are constructed based on the upper and lower approximations of the multi-granulation fuzzy rough set under the trust structure. An attribute reduction of multi-granulation fuzzy rough sets is explored under fuzzy equivalence relation, and a reduction algorithm is formulated. |
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| Keywords: | multi-granulation belief function attribute reduction rough fuzzy set probability function |
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