双论域上模糊关系的双量化粗糙集研究  

Research on dual-quantization rough set of fuzzy relation over two universes

作　　者：李燃 王青海[1] 鲁小云[1] LI Ran;WANG Qing-hai;LU Xiao-yun(School of Computer,Qinghai Normal University,Xining 810000,China)

机构地区：[1]青海师范大学计算机学院

出　　处：《微电子学与计算机》2019年第10期47-53,共7页Microelectronics & Computer

基　　金：国家社会科学基金(17XTQ013);青海省应用基础研究项目(2017-ZJ-768);青海省物联网重点实验室建设专项(2017-Z-Y21);赛尔网络下一代互联网技术创新项目(NGII20160504);教育部春晖计划项目(Z2015051);青海师范大学教学研究重点项目(qhnuj y2015102)资助

摘　　要：针对U到V型双论域双量化粗糙集模型不能处理模糊数据的不足,本文引入U到V上二元模糊关系,构造了U到V型基于模糊关系的双论域双量化“逻辑与”粗糙集模型,并对其模型结构和数学特性进行了深入研究,得到了在模糊关系下模型和性质的一些结论.该模型使得双论域双量化粗糙集理论具有更广泛的应用领域,为进一步揭示双论域双量化粗糙集模型的应用研究提供了理论依据.Aiming at the problem that U-V dual-domain dual-quantization rough set model can't deal with fuzzy data, this paper introduces a binary fuzzy relation from U to V and constructs the U-V dual-domain dual-quantization logical conjunction rough set model based on the binary fuzzy relation.By deeply studying of the model structure and mathematical characteristics,we have obtained some conclusions about the model and properties.This model makes the dual-domain dual-quantization rough set theory have a wider application field,which provides a theoretical basis for further revealing the application research of the dual-domain dual-quantization rough set model.

关 键 词：双论域 变精度粗糙集 程度粗糙集 模糊关系 逻辑与 双量化 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]